Chat Index	Date	Time Start Typing	Time of Posting	Author	Type	Content	Refers to
1	05/09/2006		18:15:57	azemel	joins	joins the room
2	05/09/2006		18:24:03	Jason	joins	joins the room
3	05/09/2006		18:24:04	davidcyl	joins	joins the room
4	05/09/2006		18:24:15	137	joins	joins the room
5	05/09/2006	18:24:23	18:24:26	azemel	chat	hey folks!
	05/09/2006		18:24:30	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:24:34	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006	18:24:28	18:24:35	azemel		[azemel has fully erased the chat message]
	05/09/2006		18:24:37	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006	18:24:36	18:24:39	137		[137 has fully erased the chat message]
6	05/09/2006	18:24:36	18:24:39	azemel	chat	is everyone here?
	05/09/2006		18:24:41	davidcyl	wb	[davidcyl created a rectangle ]
7	05/09/2006	18:24:41	18:24:42	Jason	chat	i guess so
8	05/09/2006	18:24:43	18:24:44	davidcyl	chat	yeaqh
9	05/09/2006	18:24:44	18:24:45	137	chat	YA.
10	05/09/2006	18:24:45	18:24:46	Jason	chat	4 people
	05/09/2006		18:24:48	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006	18:24:47	18:24:49	137		[137 has fully erased the chat message]
	05/09/2006		18:24:50	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:24:51	davidcyl	wb	[davidcyl created a rectangle ]
11	05/09/2006	18:24:50	18:24:52	azemel	chat	great!
	05/09/2006	18:24:54	18:24:54	azemel		[azemel has fully erased the chat message]
	05/09/2006		18:24:55	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:24:57	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:25:00	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:25:02	137	wb	[137 created a line ]
12	05/09/2006	18:24:54	18:25:03	azemel	chat	be sure to click on the view topic button
	05/09/2006		18:25:04	137	wb	[137 created a line ]
	05/09/2006		18:25:04	137	wb	[137 created a line ]
	05/09/2006		18:25:07	davidcyl	wb	[davidcyl copied some object/s ]
	05/09/2006		18:25:10	137	wb	[137 created a line ]
	05/09/2006		18:25:12	137	wb	[137 created a line ]
	05/09/2006		18:25:13	davidcyl	wb	[davidcyl moved some object/s ]
	05/09/2006		18:25:13	137	wb	[137 created a line ]
	05/09/2006		18:25:15	137	wb	[137 created a line ]
	05/09/2006		18:25:17	137	wb	[137 created a line ]
13	05/09/2006	18:25:08	18:25:18	azemel	chat	up at the top of the vmt screen
	05/09/2006		18:25:18	137	wb	[137 created a line ]
	05/09/2006		18:25:20	137	wb	[137 created a line ]
	05/09/2006		18:25:20	137	wb	[137 created a line ]
	05/09/2006		18:25:21	137	wb	[137 created a line ]
	05/09/2006		18:25:21	137	wb	[137 created a line ]
14	05/09/2006	18:25:20	18:25:22	davidcyl	chat	137 stop
	05/09/2006		18:25:22	137	wb	[137 created a line ]
	05/09/2006		18:25:23	137	wb	[137 created a line ]
	05/09/2006		18:25:24	137	wb	[137 created a line ]
	05/09/2006		18:25:24	137	wb	[137 created a line ]
	05/09/2006		18:25:28	davidcyl	wb	[davidcyl deleted some object/s ]
15	05/09/2006	18:25:29	18:25:29	137	chat	Oops.
	05/09/2006		18:25:31	davidcyl	wb	[davidcyl deleted some object/s ]
	05/09/2006		18:25:32	davidcyl	wb	[davidcyl deleted some object/s ]
	05/09/2006		18:25:32	davidcyl	wb	[davidcyl deleted some object/s ]
	05/09/2006		18:25:33	davidcyl	wb	[davidcyl deleted some object/s ]
16	05/09/2006	18:25:36	18:25:37	davidcyl	chat	np
	05/09/2006		18:25:39	davidcyl	wb	[davidcyl deleted some object/s ]
	05/09/2006		18:25:42	davidcyl	wb	[davidcyl copied some object/s ]
17	05/09/2006	18:25:36	18:25:44	Jason	chat	ooh we just did this in math class about a week ago! :-)
	05/09/2006		18:25:45	davidcyl	wb	[davidcyl moved some object/s ]
	05/09/2006		18:25:47	davidcyl	wb	[davidcyl copied some object/s ]
	05/09/2006		18:25:52	davidcyl	wb	[davidcyl moved some object/s ]
18	05/09/2006	18:25:45	18:25:54	azemel	chat	if you have any questions, just ask
19	05/09/2006	18:25:49	18:25:55	Jason	chat	well, not the exact thing, but sequences and series
	05/09/2006		18:25:55	137	wb	[137 created a line ]
	05/09/2006		18:26:00	davidcyl	wb	[davidcyl copied some object/s ]
20	05/09/2006	18:26:02	18:26:03	Jason	chat	anyhow
	05/09/2006		18:26:04	davidcyl	wb	[davidcyl moved some object/s ]
	05/09/2006		18:26:10	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:26:12	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:26:14	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:26:15	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:26:17	davidcyl	wb	[davidcyl created a rectangle ]
	05/09/2006		18:26:20	davidcyl	wb	[davidcyl created a rectangle ]
21	05/09/2006	18:26:08	18:26:21	Jason	chat	so do we see how the number of sticks grows in a sequence?
22	05/09/2006	18:26:21	18:26:25	davidcyl	chat	ok i've drawn n=4,5,6
23	05/09/2006	18:26:23	18:26:29	Jason	chat	4(+6) = 10
24	05/09/2006	18:26:32	18:26:36	Jason	chat	10(+8) = 18
	05/09/2006		18:26:39	davidcyl	wb	[davidcyl moved some object/s ]
	05/09/2006		18:26:43	davidcyl	wb	[davidcyl moved some object/s ]
25	05/09/2006	18:26:37	18:26:48	Jason	chat	i'm guessing 18(+10) = 28 for the next one, according to this pattern
	05/09/2006	18:26:58	18:27:10	davidcyl		[davidcyl has fully erased the chat message]
	05/09/2006	18:27:12	18:27:22	Jason		[Jason has fully erased the chat message]
26	05/09/2006	18:27:13	18:27:32	davidcyl	chat	the nth pattern has n more squares than the (n-1)th pattern
	05/09/2006	18:27:30	18:27:47	137		[137 has fully erased the chat message]
	05/09/2006	18:27:47	18:27:52	137		[137 has fully erased the chat message]
27	05/09/2006	18:27:37	18:27:55	davidcyl	chat	basically it's 1+2+..+(n-1)+n for the number of squares in the nth pattern
	05/09/2006	18:27:57	18:27:57	137		[137 has fully erased the chat message]
28	05/09/2006	18:28:02	18:28:16	137	chat	so n(n+1)/2
29	05/09/2006	18:27:56	18:28:24	davidcyl	chat	and we can use the gaussian sum to determine the sum: n(1+n)/2
30	05/09/2006	18:28:27	18:28:36	davidcyl	chat	137 got it
31	05/09/2006	18:28:23	18:28:43	137	chat	and 2(1+2+3...n-1) overlaps
32	05/09/2006	18:28:44	18:29:05	137	chat	so n(n+1)/2-n(n-1)/2?
33	05/09/2006	18:29:26	18:29:31	davidcyl	chat	well to find the number of sticks:
34	05/09/2006	18:29:31	18:29:39	davidcyl	chat	let's look on the board
	05/09/2006		18:29:43	davidcyl	wb	[davidcyl created a scribble ]
	05/09/2006		18:29:46	davidcyl	wb	[davidcyl created a scribble ]
	05/09/2006		18:29:51	davidcyl	wb	[davidcyl created a scribble ]
35	05/09/2006	18:29:44	18:29:54	Jason	chat	should we use a recursive or explicit definition for it
	05/09/2006		18:29:55	davidcyl	wb	[davidcyl created a scribble ]
	05/09/2006		18:30:01	davidcyl	wb	[davidcyl created a scribble ]
	05/09/2006	18:30:11	18:30:11	davidcyl		[davidcyl has fully erased the chat message]
36	05/09/2006	18:30:12	18:30:20	davidcyl	chat	i don't think we need recursion	[1] Reference to message No. 35 (Text: should we use a recursive or explicit definition for it )
37	05/09/2006	18:30:21	18:30:33	davidcyl	chat	it's simpler to express it as 1+2+...+n
38	05/09/2006	18:30:46	18:30:50	Jason	chat	would that be the number of sticks>
39	05/09/2006	18:30:38	18:30:51	davidcyl	chat	anyway, when n=4, there's 1+2+3+4+4 horizontal sticks
	05/09/2006	18:30:51	18:30:54	Jason		[Jason has fully erased the chat message]
40	05/09/2006	18:30:55	18:31:03	davidcyl	chat	and 1+2+3+4+4 vertical sticks
41	05/09/2006	18:31:04	18:31:06	Jason	chat	let's see
42	05/09/2006	18:31:06	18:31:08	Jason	chat	when n=2
	05/09/2006	18:31:08	18:31:17	Jason		[Jason has fully erased the chat message]
	05/09/2006	18:31:09	18:31:18	davidcyl		[davidcyl has fully erased the chat message]
43	05/09/2006	18:31:18	18:31:21	137	chat	then we have 5.
44	05/09/2006	18:31:21	18:31:23	davidcyl	chat	no, squares
	05/09/2006	18:31:18	18:31:25	Jason		[Jason has fully erased the chat message]
	05/09/2006	18:31:27	18:31:35	Jason		[Jason has fully erased the chat message]
45	05/09/2006	18:31:32	18:31:37	davidcyl	chat	sorry i wasn't clear
46	05/09/2006	18:31:38	18:31:41	137	chat	5*2=10.
	05/09/2006	18:31:43	18:31:43	137		[137 has fully erased the chat message]
47	05/09/2006	18:31:44	18:31:45	137	chat	?
48	05/09/2006	18:31:51	18:31:54	Jason	chat	ooh
	05/09/2006	18:31:41	18:32:00	davidcyl		[davidcyl has fully erased the chat message]
49	05/09/2006	18:31:59	18:32:02	Jason	chat	well could you just use like
50	05/09/2006	18:32:07	18:32:20	137	chat	n(n+2)?
51	05/09/2006	18:32:01	18:32:21	davidcyl	chat	137: i'm separating the sticks into vertical and horizontal sticks
52	05/09/2006	18:32:24	18:32:25	137	chat	oops.
53	05/09/2006	18:32:06	18:32:28	Jason	chat	# sticks = N*(3+N)
	05/09/2006	18:32:26	18:32:30	137		[137 has fully erased the chat message]
54	05/09/2006	18:32:26	18:32:30	davidcyl	chat	wait what are you working on?
55	05/09/2006	18:32:30	18:32:32	Jason	chat	wait lemme check
56	05/09/2006	18:32:33	18:32:35	davidcyl	chat	(to 137)
57	05/09/2006	18:32:42	18:32:46	137	chat	Great. Confused.
58	05/09/2006	18:32:56	18:33:03	Jason	chat	137 are you talking about # sticks or squares
	05/09/2006	18:32:48	18:33:07	137		[137 has fully erased the chat message]
59	05/09/2006	18:33:07	18:33:09	137	chat	Sticks.
60	05/09/2006	18:33:17	18:33:18	Jason	chat	ok
61	05/09/2006	18:32:47	18:33:21	davidcyl	chat	i would think it's 2(n(1+n)/2) + n + n
62	05/09/2006	18:33:18	18:33:23	Jason	chat	well i think my formula works
63	05/09/2006	18:33:29	18:33:33	Jason	chat	provided that you have a value for N
	05/09/2006		18:33:40	137	wb	[137 created a line ]
	05/09/2006		18:33:48	Jason	START:TextEditing
64	05/09/2006	18:33:21	18:33:57	davidcyl	chat	because it's basically (1+..+n + n) + (1 + .. + n + n)
	05/09/2006		18:34:01	137	wb	[137 created a line ]
	05/09/2006		18:34:03	137	wb	[137 created a line ]
	05/09/2006		18:34:11	Jason	END:TextEditing
	05/09/2006		18:34:11	Jason	wb	[Jason created a textbox ]
65	05/09/2006	18:34:10	18:34:12	davidcyl	chat	checking
	05/09/2006		18:34:16	Jason	wb	[Jason changed layout ]
	05/09/2006		18:34:22	Jason	wb	[Jason changed layout ]
66	05/09/2006		18:34:25	ssjnish	joins	joins the room
67	05/09/2006	18:34:30	18:34:33	Jason	chat	well hello nish
68	05/09/2006	18:34:38	18:34:42	azemel	chat	welcom nish
69	05/09/2006	18:34:37	18:34:47	Jason	chat	click on "view topic" near the top-center to see the problems
70	05/09/2006	18:34:56	18:34:57	ssjnish	chat	welcome nish
71	05/09/2006	18:34:44	18:34:57	azemel	chat	do you guys want to bring nish up to speed?
72	05/09/2006	18:34:33	18:35:03	davidcyl	chat	this simplifies to n(1+n) + 2n, or n(3+n)	[1] Reference to message No. 61 (Text: i would think it's 2(n(1+n)/2) + n + n )
73	05/09/2006	18:35:05	18:35:09	davidcyl	chat	so jason, you're right
74	05/09/2006	18:35:14	18:35:16	Jason	chat	:-)
75	05/09/2006	18:35:30	18:35:36	Jason	chat	so now onto a formula for the total number of squares
76	05/09/2006	18:35:36	18:35:42	davidcyl	chat	ok let's complete the table
77	05/09/2006	18:35:39	18:35:46	Jason	chat	if you take the change in the change of the number of squares, it's constant
	05/09/2006	18:35:46	18:35:47	davidcyl		[davidcyl has fully erased the chat message]
78	05/09/2006	18:36:07	18:36:10	137	chat	Didn't we do that?	[1] Reference to message No. 75 (Text: so now onto a formula for the total number of squares )
	05/09/2006	18:36:12	18:36:14	137		[137 has fully erased the chat message]
	05/09/2006	18:35:48	18:36:14	davidcyl		[davidcyl has fully erased the chat message]
79	05/09/2006	18:36:14	18:36:19	davidcyl	chat	yes
	05/09/2006	18:36:20	18:36:21	Jason		[Jason has fully erased the chat message]
80	05/09/2006	18:36:22	18:36:27	Jason	chat	oh, sorry i guess i must've not caught that
81	05/09/2006	18:36:25	18:36:33	davidcyl	chat	look up	[1] Reference to message No. 29 (Text: and we can use the gaussian sum to determine the sum: n(1+n)/2 )
82	05/09/2006	18:36:27	18:36:33	Jason	chat	could someone post it in a text box on the whiteboard
83	05/09/2006	18:36:38	18:36:38	davidcyl	chat	sure
84	05/09/2006	18:36:27	18:36:40	azemel	chat	be sure that SSJNISH is up to speed folks
	05/09/2006		18:36:43	davidcyl	START:TextEditing
	05/09/2006	18:36:46	18:36:49	Jason		[Jason has fully erased the chat message]
	05/09/2006		18:36:50	137	START:TextEditing
	05/09/2006		18:36:53	davidcyl	END:TextEditing
	05/09/2006		18:36:53	davidcyl	wb	[davidcyl created a textbox ]
85	05/09/2006	18:36:48	18:36:53	azemel	chat	are you following ssjnish?
	05/09/2006		18:36:56	davidcyl	wb	[davidcyl moved some object/s ]
	05/09/2006		18:36:58	137	END:TextEditing
	05/09/2006		18:36:58	137	wb	[137 created a textbox ]
	05/09/2006		18:37:00	davidcyl	wb	[davidcyl changed layout ]
	05/09/2006		18:37:00	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:37:03	davidcyl	wb	[davidcyl changed layout ]
	05/09/2006		18:37:04	137	wb	[137 moved some object/s ]
	05/09/2006		18:37:05	davidcyl	wb	[davidcyl changed layout ]
86	05/09/2006	18:37:08	18:37:16	Jason	chat	alright, so that formula's for sure right?
	05/09/2006		18:37:19	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:37:22	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:37:23	Jason	wb	[Jason moved some object/s ]
87	05/09/2006	18:37:23	18:37:24	137	chat	YA.
	05/09/2006	18:37:25	18:37:26	137		[137 has fully erased the chat message]
	05/09/2006	18:37:27	18:37:28	137		[137 has fully erased the chat message]
88	05/09/2006	18:37:27	18:37:33	Jason	chat	yeah, sorry for moving the box around a little	[1] Reference to message No. 86 (Text: alright, so that formula's for sure right? )
89	05/09/2006	18:37:16	18:37:33	davidcyl	chat	ssjnish, press the load messages button
90	05/09/2006	18:37:31	18:37:35	137	chat	Ya.
91	05/09/2006	18:37:35	18:37:48	davidcyl	chat	it's above this chat box, like 2 arrows in a circle
92	05/09/2006	18:37:44	18:37:50	Jason	chat	it's the "reload"-like icon at the top of this box	[1] Reference to message No. 89 (Text: ssjnish, press the load messages button )
93	05/09/2006	18:37:52	18:37:53	Jason	chat	yeah
94	05/09/2006	18:37:56	18:38:00	azemel	chat	thanks davidcyl	[1] Reference to message No. 91 (Text: it's above this chat box, like 2 arrows in a circle )
95	05/09/2006	18:38:09	18:38:09	ssjnish	chat	ok
	05/09/2006		18:38:11	Jason	wb	[Jason changed layout ]
	05/09/2006		18:38:22	Jason	START:TextEditing
	05/09/2006		18:38:23	137	wb	[137 changed layout ]
96	05/09/2006	18:37:56	18:38:30	davidcyl	chat	basically, we've figured out that the number of squares in the nth pattern is 1 + 2 + ... + n
	05/09/2006		18:38:31	Jason	END:TextEditing
	05/09/2006		18:38:31	Jason	wb	[Jason changed the text to: Formula for total # of squares: n(1+n)/2 ]
97	05/09/2006	18:38:28	18:38:33	137	chat	It was blinding.
	05/09/2006		18:38:40	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:38:42	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:38:45	Jason	wb	[Jason moved some object/s ]
	05/09/2006	18:38:31	18:38:50	davidcyl		[davidcyl has fully erased the chat message]
	05/09/2006	18:38:51	18:38:53	davidcyl		[davidcyl has fully erased the chat message]
	05/09/2006		18:38:58	137	START:TextEditing
	05/09/2006		18:39:02	137	END:TextEditing
	05/09/2006		18:39:04	137	wb	[137 moved some object/s ]
98	05/09/2006	18:38:54	18:39:26	davidcyl	chat	then, to find the number of sticks, I divided the figure into "vertical sticks" (|) and "horizontal sticks" (--)
99	05/09/2006	18:39:38	18:39:41	Jason	chat	the formulas are on the Whiteboard
100	05/09/2006	18:39:44	18:39:56	azemel	chat	don't forget to post your ideas to the wiki when you think it's time!
101	05/09/2006	18:39:36	18:40:15	davidcyl	chat	the number of vertical sticks is (1 + 2 + 3 + ... + n)+ n, and the number of horizontal sticks is the same
	05/09/2006	18:40:13	18:40:16	Jason		[Jason has fully erased the chat message]
	05/09/2006		18:40:17	137	wb	[137 resized some objects ]
102	05/09/2006	18:40:18	18:40:18	davidcyl	chat	ok	[1] Reference to message No. 100 (Text: don't forget to post your ideas to the wiki when you think it's time! )
	05/09/2006		18:40:19	137	wb	[137 moved some object/s ]
	05/09/2006		18:40:45	Jason	wb	[Jason created a line ]
	05/09/2006		18:40:45	Jason	wb	[Jason created a line ]
	05/09/2006		18:40:47	Jason	wb	[Jason created a line ]
	05/09/2006		18:40:51	Jason	wb	[Jason created a line ]
	05/09/2006		18:40:57	Jason	START:TextEditing
	05/09/2006		18:41:00	Jason	END:TextEditing
	05/09/2006		18:41:00	Jason	wb	[Jason created a textbox ]
	05/09/2006		18:41:02	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:41:05	Jason	wb	[Jason changed layout ]
	05/09/2006		18:41:08	Jason	wb	[Jason changed layout ]
	05/09/2006		18:41:10	Jason	wb	[Jason resized some objects ]
	05/09/2006		18:41:11	ssjnish	wb	[ssjnish resized some objects ]
	05/09/2006		18:41:14	ssjnish	wb	[ssjnish resized some objects ]
103	05/09/2006	18:41:11	18:41:30	Jason	chat	i'm writing our formulas in summation notation since apparently that's more "formal"
	05/09/2006		18:41:34	Jason	wb	[Jason moved some object/s ]
	05/09/2006		18:41:46	Jason	wb	[Jason created a ellipse ]
	05/09/2006		18:41:50	Jason	wb	[Jason created a ellipse ]
	05/09/2006		18:41:52	Jason	wb	[Jason created a ellipse ]
	05/09/2006		18:41:56	Jason	wb	[Jason changed layout ]
	05/09/2006		18:42:11	Jason	wb	[Jason created a ellipse ]
	05/09/2006		18:42:17	Jason	wb	[Jason created a ellipse ]
104	05/09/2006	18:42:26	18:42:31	Jason	chat	thats supposed to be an infinity symbol	[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006		18:42:41	Jason	START:TextEditing
	05/09/2006		18:42:51	137	START:TextEditing
105	05/09/2006	18:42:47	18:42:54	davidcyl	chat	we need to write this on the wiki though
	05/09/2006		18:42:58	137	END:TextEditing
106	05/09/2006	18:42:58	18:42:58	Jason	chat	oh yeah
107	05/09/2006	18:42:59	18:43:06	Jason	chat	should we designate one person to do that or should we all do something
108	05/09/2006	18:43:08	18:43:09	Jason	chat	on it
109	05/09/2006	18:43:17	18:43:20	davidcyl	chat	i'm writing it up
	05/09/2006		18:43:22	Jason	END:TextEditing
	05/09/2006		18:43:22	Jason	wb	[Jason created a textbox ]
	05/09/2006		18:43:25	Jason	wb	[Jason changed layout ]
	05/09/2006		18:43:29	Jason	wb	[Jason resized some objects ]
110	05/09/2006	18:43:23	18:43:31	davidcyl	chat	should we use the summation there?
111	05/09/2006	18:43:31	18:43:32	Jason	chat	great
112	05/09/2006	18:43:33	18:43:36	Jason	chat	for the formulas, shure
113	05/09/2006	18:43:37	18:43:37	Jason	chat	sure*
	05/09/2006		18:43:37	davidcyl	START:TextEditing
	05/09/2006		18:43:39	davidcyl	END:TextEditing
	05/09/2006		18:43:39	davidcyl	wb	[davidcyl changed the text to: n ]
114	05/09/2006	18:43:38	18:43:44	Jason	chat	do you know how to do that?
115	05/09/2006	18:43:47	18:43:47	davidcyl	chat	yeah
116	05/09/2006	18:43:51	18:43:53	Jason	chat	great
117	05/09/2006	18:44:01	18:44:04	davidcyl	chat	i think you meant n	[1] Reference to whiteboard (EllipseStuff-1147218279687-8041650)
118	05/09/2006	18:44:09	18:44:09	Jason	chat	yeah
119	05/09/2006	18:44:12	18:44:14	davidcyl	chat	wait a second
120	05/09/2006	18:44:10	18:44:16	Jason	chat	i started writing but then somehow it got erased
121	05/09/2006	18:44:16	18:44:17	Jason	chat	oh well
	05/09/2006		18:44:18	davidcyl	START:TextEditing
	05/09/2006		18:44:20	davidcyl	END:TextEditing
	05/09/2006		18:44:20	davidcyl	wb	[davidcyl changed the text to: k ]
	05/09/2006		18:44:20	davidcyl	START:TextEditing
	05/09/2006		18:44:22	davidcyl	END:TextEditing
	05/09/2006		18:44:22	davidcyl	wb	[davidcyl changed the text to: k=1 ]
	05/09/2006		18:44:22	davidcyl	wb	[davidcyl resized some objects ]
	05/09/2006		18:44:23	davidcyl	wb	[davidcyl resized some objects ]
	05/09/2006		18:44:25	davidcyl	wb	[davidcyl deleted some object/s ]
	05/09/2006	18:44:28	18:44:28	ssjnish		[ssjnish has fully erased the chat message]
122	05/09/2006	18:44:13	18:44:28	137	chat	Erm... Where's the wiki?
	05/09/2006		18:44:30	davidcyl	wb	[davidcyl copied some object/s ]
	05/09/2006		18:44:33	davidcyl	wb	[davidcyl moved some object/s ]
	05/09/2006		18:44:35	davidcyl	START:TextEditing
	05/09/2006		18:44:38	davidcyl	END:TextEditing
	05/09/2006		18:44:38	davidcyl	wb	[davidcyl changed the text to: n ]
123	05/09/2006	18:44:38	18:44:39	Jason	chat	http://mathforum.org/wiki/VMTStudents/?PatternsOfTheSticks
	05/09/2006	18:44:43	18:44:44	Jason		[Jason has fully erased the chat message]
	05/09/2006		18:44:44	davidcyl	wb	[davidcyl moved some object/s ]
124	05/09/2006	18:44:44	18:44:50	Jason	chat	or just click View Topic --> link to Wiki at end
125	05/09/2006	18:44:50	18:44:50	davidcyl	chat		[1] Reference to whiteboard (whiteboardDoc)
126	05/09/2006	18:44:28	18:45:11	ssjnish	chat	just to clarify sumthing, i am not overwhelmingly good at math as u guys seem to be, so it may take me more time than u guys to understand sumthing..
	05/09/2006	18:45:10	18:45:13	Jason		[Jason has fully erased the chat message]
127	05/09/2006	18:45:35	18:45:44	azemel	chat	can you tell us what's puzzling you?
	05/09/2006	18:45:51	18:45:55	ssjnish		[ssjnish has fully erased the chat message]
128	05/09/2006	18:45:39	18:46:07	Jason	chat	are we allowed to post images on the wiki? I could just download TeX real quick and get the summation notation in a small graphic
129	05/09/2006	18:46:04	18:46:12	ssjnish	chat	the derivation of the number of squares
130	05/09/2006	18:46:20	18:46:21	Jason	chat	oh
	05/09/2006	18:46:22	18:46:26	Jason		[Jason has fully erased the chat message]
131	05/09/2006	18:46:27	18:46:31	Jason	chat	so you see in the list a column for "N"
	05/09/2006	18:46:22	18:46:43	137		[137 has fully erased the chat message]
132	05/09/2006	18:46:40	18:46:50	Jason	chat	when n=1, we have 1 square; for n=2, 3; and for n=3, 6
	05/09/2006	18:46:43	18:46:55	137		[137 has fully erased the chat message]
133	05/09/2006	18:46:52	18:47:00	Jason	chat	we came up with a formula to find the total number of squares for any number N
	05/09/2006	18:47:02	18:47:06	Jason		[Jason has fully erased the chat message]
134	05/09/2006	18:47:07	18:47:16	Jason	chat	the purpose of the formula is so that you don't have to draw out the squares and count them
	05/09/2006	18:47:17	18:47:22	Jason		[Jason has fully erased the chat message]
135	05/09/2006	18:47:37	18:47:39	ssjnish	chat	um yes
136	05/09/2006	18:47:41	18:47:41	ssjnish	chat	i know
137	05/09/2006	18:47:42	18:47:51	ssjnish	chat	but how did u get that formula
	05/09/2006	18:47:29	18:47:59	Jason		[Jason has fully erased the chat message]
138	05/09/2006	18:48:00	18:48:00	Jason	chat	oh	[1] Reference to whiteboard (whiteboardDoc)
139	05/09/2006	18:48:09	18:48:11	azemel	chat	i believe so	[1] Reference to message No. 128 (Text: are we allowed to post images on the wiki? I could just download TeX real quick and get the summation notation in a small graphic )
140	05/09/2006	18:48:05	18:48:12	Jason	chat	uh, basically you try to find a pattern in the total number of squares first
	05/09/2006	18:48:25	18:48:36	Jason		[Jason has fully erased the chat message]
141	05/09/2006	18:48:36	18:48:47	Jason	chat	we found a formula for that which we'll post on the wiki
	05/09/2006		18:48:59	ssjnish	wb	[ssjnish moved some object/s ]
142	05/09/2006	18:48:39	18:49:00	davidcyl	chat	if you look at the patterns row by row, it's 1 + 2 + 3 + 4 + however many rows there are
	05/09/2006	18:49:16	18:49:17	Jason		[Jason has fully erased the chat message]
143	05/09/2006	18:49:11	18:49:24	davidcyl	chat	so for the nth pattern, we can say there are 1 + ... + n squares
144	05/09/2006	18:49:18	18:49:27	Jason	chat	if N rows: 1+2+3+...N
	05/09/2006	18:49:37	18:49:43	Jason		[Jason has fully erased the chat message]
145	05/09/2006	18:49:44	18:49:57	Jason	chat	so then we incorporated the formula for finding the sum of an arithmetic series
146	05/09/2006	18:49:29	18:50:12	davidcyl	chat	there's a formula for finding the sum of consecutive integers, which (when starting from 1) is: n(n+1)/2
	05/09/2006	18:50:01	18:50:14	Jason		[Jason has fully erased the chat message]
	05/09/2006	18:50:13	18:50:16	davidcyl		[davidcyl has fully erased the chat message]
147	05/09/2006	18:49:56	18:50:17	137	chat	so you use gaussian sum to get n(n+1)/2	[1] Reference to message No. 123 (Text: http://mathforum.org/wiki/VMTStudents/?PatternsOfTheSticks )
148	05/09/2006	18:50:23	18:50:25	Jason	chat	that's it	[1] Reference to message No. 146 (Text: there's a formula for finding the sum of consecutive integers, which (when starting from 1) is: n(n+1)/2 )
149	05/09/2006	18:50:17	18:50:35	davidcyl	chat	and as Jason said, it works for arithmetic sequences in general
150	05/09/2006	18:50:36	18:50:51	ssjnish	chat	hmm...
151	05/09/2006	18:50:54	18:50:56	ssjnish	chat	isee
152	05/09/2006	18:50:46	18:50:56	Jason	chat	on a side note, you'll be doing stuff of similar sort next year in Algebra II
153	05/09/2006	18:50:57	18:51:01	ssjnish	chat	thanks
154	05/09/2006	18:51:05	18:51:11	davidcyl	chat	ok so let's finish the problem
155	05/09/2006	18:51:12	18:51:13	davidcyl	chat	#2:
	05/09/2006	18:51:14	18:51:15	davidcyl		[davidcyl has fully erased the chat message]
156	05/09/2006	18:51:20	18:51:20	davidcyl	chat	Fill in the cells of the table for sticks and squares in rows N=4, N=5, and N=6. Once you agree on the value of a row, post it on the VMT Wiki
	05/09/2006	18:51:26	18:51:29	davidcyl		[davidcyl has fully erased the chat message]
	05/09/2006	18:51:28	18:51:42	Jason		[Jason has fully erased the chat message]
157	05/09/2006	18:51:29	18:51:48	davidcyl	chat	so when there's 4 rows, there should be 10 squares and 28 sticks
	05/09/2006	18:51:49	18:51:50	davidcyl		[davidcyl has fully erased the chat message]
158	05/09/2006	18:51:50	18:51:52	davidcyl	chat	by our formulas
159	05/09/2006		18:52:03	137	chat
160	05/09/2006	18:51:54	18:52:03	davidcyl	chat	and we could count	[1] Reference to whiteboard (whiteboardDoc)
161	05/09/2006	18:52:10	18:52:11	137	chat	Oops.
162	05/09/2006	18:52:10	18:52:11	Jason	chat	yeah
163	05/09/2006	18:52:10	18:52:31	davidcyl	chat	5 rows, 15 squares, 40 sticks	[1] Reference to whiteboard (whiteboardDoc)
	05/09/2006	18:52:32	18:52:38	davidcyl		[davidcyl has fully erased the chat message]
	05/09/2006	18:52:45	18:52:47	davidcyl		[davidcyl has fully erased the chat message]
164	05/09/2006	18:52:47	18:52:47	davidcyl	chat	whoops
165	05/09/2006	18:52:49	18:53:07	davidcyl	chat	and 6 rows, 21 squares, and 54 sticks
	05/09/2006		18:53:44	137	wb	[137 moved some object/s ]
	05/09/2006		18:55:02	137	wb	[137 moved some object/s ]
	05/09/2006		18:55:05	137	wb	[137 moved some object/s ]
166	05/09/2006	18:54:48	18:55:06	Jason	chat	alright people apparently LaTeX is like a 450 MB download... anyone have suggestions for a math equation editor?
	05/09/2006		18:55:09	137	wb	[137 resized some objects ]
	05/09/2006		18:55:12	137	wb	[137 moved some object/s ]
167	05/09/2006	18:55:18	18:55:20	davidcyl	chat	i have mathtype here
168	05/09/2006	18:55:07	18:55:23	Jason	chat	i know it's not necessary, but it would be nice to have a graphic demonstrating the summation notation for formulas :)
169	05/09/2006	18:55:28	18:55:32	davidcyl	chat	there should be an online renderer
	05/09/2006	18:55:42	18:55:45	137		[137 has fully erased the chat message]
170	05/09/2006	18:55:34	18:55:46	azemel	chat	or you could just text it with summ k=1 to inf
171	05/09/2006	18:55:51	18:55:53	azemel	chat	or something like that
	05/09/2006	18:55:46	18:56:03	137		[137 has fully erased the chat message]
172	05/09/2006	18:56:04	18:56:15	137	chat	Wait. Why are we using summations?
173	05/09/2006	18:56:30	18:56:36	Jason	chat	for the formulas.. it looks nicer that way :)
174	05/09/2006	18:56:37	18:56:48	Jason	chat	just downloaded trial of MathType, will install now...
175	05/09/2006	18:56:48	18:56:58	ssjnish	chat	hope this doesnt sound too stupid, but wuts a summation
176	05/09/2006	18:57:13	18:57:14	Jason	chat	installed :-)
	05/09/2006	18:57:06	18:57:22	davidcyl		[davidcyl has fully erased the chat message]
177	05/09/2006	18:57:12	18:57:34	137	chat	The sum of all terms from a to b	[1] Reference to message No. 175 (Text: hope this doesnt sound too stupid, but wuts a summation )
178	05/09/2006	18:57:36	18:57:36	Jason	chat	http://en.wikipedia.org/wiki/Sigma_notation
	05/09/2006	18:57:25	18:57:47	davidcyl		[davidcyl has fully erased the chat message]
179	05/09/2006	18:57:47	18:57:50	davidcyl	chat	good idea
180	05/09/2006	18:58:04	18:58:11	Jason	chat	don't worry nish, you'll learn all about it next year
181	05/09/2006	18:58:31	18:58:50	azemel	chat	folks, you guys started late and so i think you should take the full hour you've got
182	05/09/2006	18:58:52	18:58:55	azemel	chat	if you can
183	05/09/2006	18:58:58	18:58:58	Jason	chat	alright
184	05/09/2006	18:58:58	18:59:07	Jason	chat	i can be here as late as necessary (and reasonable)
185	05/09/2006	18:58:56	18:59:17	azemel	chat	don't forget, we're gonna meet again same time, same place on Thursday!
186	05/09/2006	18:59:21	18:59:23	davidcyl	chat	hows this http://www.forkosh.dreamhost.com/cgi-bin/mimetex.cgi?formdata=%5Csum_%7Bk%3D1%7D%5En+k
	05/09/2006	18:59:25	18:59:29	137		[137 has fully erased the chat message]
	05/09/2006	18:59:31	18:59:32	137		[137 has fully erased the chat message]
187	05/09/2006	18:59:32	18:59:37	137	chat	So 4:00 or 4:30?	[1] Reference to message No. 178 (Text: http://en.wikipedia.org/wiki/Sigma_notation )
188	05/09/2006	18:59:57	19:00:01	Jason	chat	i can't exactly copy URLs from here	[1] Reference to message No. 186 (Text: hows this http://www.forkosh.dreamhost.com/cgi-bin/mimetex.cgi?formdata=%5Csum_%7Bk%3D1%7D%5En+k )
189	05/09/2006	18:59:53	19:00:04	137	chat	Misquoted.
190	05/09/2006	19:00:01	19:00:06	Jason	chat	but is that a online renderer or your image
191	05/09/2006	19:00:00	19:00:08	azemel	chat	what do you mean	[1] Reference to message No. 187 (Text: So 4:00 or 4:30? )
	05/09/2006	19:00:14	19:00:15	137		[137 has fully erased the chat message]
192	05/09/2006	19:00:16	19:00:22	137	chat	Do we go on at 4 or 4:30?
193	05/09/2006	19:00:26	19:00:34	137	chat	oh, shoot. 7 or 7:30?
194	05/09/2006	19:00:34	19:00:36	Jason	chat	:30
195	05/09/2006	19:00:38	19:00:40	Jason	chat	since we started around then
	05/09/2006	19:00:42	19:00:43	Jason		[Jason has fully erased the chat message]
196	05/09/2006	19:00:42	19:00:43	137	chat	Right.
197	05/09/2006	19:00:43	19:00:44	Jason	chat	anyways
198	05/09/2006	19:00:44	19:00:47	Jason	chat	i got the thing in a GIF format
199	05/09/2006	19:00:44	19:00:47	137	chat	Got it.
200	05/09/2006	19:00:50	19:01:01	Jason	chat	i'll upload it to my personal web space and then we can use that image on the wiki
201	05/09/2006	19:00:29	19:01:04	azemel	chat	well, it's supposed to start at 7:00 pm EST	[1] Reference to message No. 193 (Text: oh, shoot. 7 or 7:30? )
	05/09/2006	19:01:11	19:01:12	137		[137 has fully erased the chat message]
	05/09/2006	19:01:22	19:01:23	137		[137 has fully erased the chat message]
	05/09/2006	19:01:24	19:01:32	137		[137 has fully erased the chat message]
202	05/09/2006	19:01:27	19:01:34	azemel	chat	so be there!!! ;-)
203	05/09/2006	19:01:33	19:01:48	137	chat	Why can't we simply type it up as a formula?	[1] Reference to message No. 200 (Text: i'll upload it to my personal web space and then we can use that image on the wiki )
	05/09/2006	19:01:54	19:01:54	Jason		[Jason has fully erased the chat message]
204	05/09/2006	19:01:55	19:02:02	Jason	chat	it'll be easier to read this way
205	05/09/2006	19:02:03	19:02:04	Jason	chat	and it's quick
206	05/09/2006	19:02:00	19:02:09	davidcyl	chat	forget it
207	05/09/2006	19:02:10	19:02:13	davidcyl	chat	can't post iamges
208	05/09/2006	19:02:06	19:02:13	Jason	chat	i've got the first one in a GIF file already... lemme resize it
209	05/09/2006	19:02:13	19:02:17	davidcyl	chat	or links to images
210	05/09/2006	19:02:38	19:02:44	Jason	chat	really? azemel said that we could earlier
211	05/09/2006	19:03:04	19:03:05	Jason	chat	anywyas
212	05/09/2006	19:03:06	19:03:14	Jason	chat	is there anything else related to the problem that we still need to discuss
213	05/09/2006	19:03:17	19:03:18	davidcyl	chat	oh wait
214	05/09/2006	19:03:20	19:03:28	azemel	chat	you can copy and paste graphic files
	05/09/2006	19:03:39	19:03:41	azemel		[azemel has fully erased the chat message]
215	05/09/2006	19:03:55	19:03:55	davidcyl	chat	got it
216	05/09/2006	19:03:53	19:03:58	137	chat	I dont\'t believe so.	[1] Reference to message No. 212 (Text: is there anything else related to the problem that we still need to discuss )
217	05/09/2006	19:03:59	19:03:59	davidcyl	chat	http://mathforum.org/wiki/VMTStudents/?PatternsOfTheSticks
218	05/09/2006	19:04:03	19:04:08	davidcyl	chat	you can't copy and paste without a host
219	05/09/2006	19:04:15	19:04:15	Jason	chat	oh
220	05/09/2006	19:04:16	19:04:18	Jason	chat	ok i'll try it
221	05/09/2006	19:05:15	19:05:15	Jason	chat	got it
222	05/09/2006	19:05:19	19:05:34	Jason	chat	sorry for the semi-low quality guys... i've got ClearType font smoothing on my screen and i guess that affects the quality
223	05/09/2006	19:05:54	19:05:57	davidcyl	chat	i've already posted it
224	05/09/2006	19:05:58	19:05:59	davidcyl	chat	on the wiki
225	05/09/2006	19:05:55	19:06:02	azemel	chat	i wouldn't let the graphic thing slow you down
226	05/09/2006	19:06:19	19:06:20	davidcyl	chat	we're done
227	05/09/2006	19:06:24	19:06:24	azemel	chat	k
228	05/09/2006	19:06:20	19:06:28	137	chat	Erm... What do you mean?	[1] Reference to message No. 225 (Text: i wouldn't let the graphic thing slow you down )
229	05/09/2006	19:06:34	19:06:38	azemel	chat	the summation sign thing	[1] Reference to message No. 228 (Text: Erm... What do you mean? )
230	05/09/2006	19:06:41	19:06:43	azemel	chat	that's all
231	05/09/2006	19:06:43	19:06:44	137	chat	Ah.
232	05/09/2006	19:06:50	19:06:56	davidcyl	chat	are there other problems we're supposed to work on?
	05/09/2006	19:06:53	19:07:02	azemel		[azemel has fully erased the chat message]
	05/09/2006	19:07:32	19:07:36	azemel		[azemel has fully erased the chat message]
	05/09/2006	19:07:37	19:07:37	azemel		[azemel has fully erased the chat message]
233	05/09/2006	19:07:37	19:08:04	azemel	chat	well, if you're done with the sticks problem as it stands, then this might be a time to stop. there will be another problem on Thursday
	05/09/2006		19:08:19	137	wb	[137 resized some objects ]
	05/09/2006		19:08:23	137	wb	[137 resized some objects ]
234	05/09/2006	19:08:15	19:08:24	azemel	chat	remember, 7 pm, Thursday, same room
235	05/09/2006	19:08:32	19:08:32	Jason	chat	ok	[1] Reference to message No. 233 (Text: well, if you're done with the sticks problem as it stands, then this might be a time to stop. there will be another problem on Thursday )
236	05/09/2006	19:08:35	19:08:35	davidcyl	chat	ok
237	05/09/2006	19:08:30	19:08:35	137	chat	Right.
238	05/09/2006	19:08:40	19:08:40	davidcyl	chat	look
	05/09/2006	19:08:39	19:08:41	Jason		[Jason has fully erased the chat message]
239	05/09/2006	19:08:41	19:08:41	davidcyl	chat	http://www.forkosh.dreamhost.com/cgi-bin/mimetex.cgi?formdata=%5Cleft%28%5Csum_%7Bk%3D1%7D%5En+k%5Cright%29%2Bn
240	05/09/2006	19:09:16	19:09:33	137	chat	How do you visit that w/o typing it in?	[1] Reference to message No. 239 (Text: http://www.forkosh.dreamhost.com/cgi-bin/mimetex.cgi?formdata=%5Cleft%28%5Csum_%7Bk%3D1%7D%5En+k%5Cright%29%2Bn )
241	05/09/2006	19:09:15	19:09:41	azemel	chat	I assume you posted your results to the wiki, right?
	05/09/2006	19:09:47	19:09:49	137		[137 has fully erased the chat message]
	05/09/2006	19:09:50	19:09:51	137		[137 has fully erased the chat message]
242	05/09/2006	19:09:46	19:09:53	azemel	chat	I don't think you can	[1] Reference to message No. 240 (Text: How do you visit that w/o typing it in? )
243	05/09/2006	19:09:52	19:09:54	137	chat	They did.
244	05/09/2006	19:09:55	19:09:58	azemel	chat	bummer
245	05/09/2006	19:10:01	19:10:02	azemel	chat	good!!!
246	05/09/2006	19:10:04	19:10:06	davidcyl	chat	copy and paste	[1] Reference to message No. 244 (Text: bummer )
247	05/09/2006	19:10:03	19:10:08	azemel	chat	then let's call it an evening
248	05/09/2006	19:10:17	19:10:17	davidcyl	chat	yes	[1] Reference to message No. 241 (Text: I assume you posted your results to the wiki, right? )
249	05/09/2006	19:10:19	19:10:19	davidcyl	chat	ok
250	05/09/2006	19:10:13	19:10:21	azemel	chat	thanks for coming and i hope you guys win!!!!
	05/09/2006	19:10:22	19:10:25	137		[137 has fully erased the chat message]
	05/09/2006	19:10:25	19:10:27	davidcyl		[davidcyl has fully erased the chat message]
251	05/09/2006	19:10:26	19:10:28	137	chat	Thanks!
	05/09/2006	19:10:29	19:10:30	137		[137 has fully erased the chat message]
252	05/09/2006	19:10:27	19:10:33	davidcyl	chat	:-) thanks. bye!
253	05/09/2006	19:10:33	19:10:34	Jason	chat	thanks!	[1] Reference to message No. 239 (Text: http://www.forkosh.dreamhost.com/cgi-bin/mimetex.cgi?formdata=%5Cleft%28%5Csum_%7Bk%3D1%7D%5En+k%5Cright%29%2Bn )
	05/09/2006	19:10:26	19:10:35	azemel		[azemel has fully erased the chat message]
	05/09/2006	19:10:37	19:10:37	Jason		[Jason has fully erased the chat message]
254	05/09/2006		19:10:44	davidcyl	leaves	leaves the room
255	05/09/2006	19:10:37	19:10:51	Jason	chat	and guys, i just realized that the summation notation stuff i put up is the SUM, not the formula
256	05/09/2006	19:10:51	19:10:59	Jason	chat	so i guess i'll post the correct image later
257	05/09/2006	19:11:00	19:11:05	Jason	chat	anyways, goodbye all
	05/09/2006	19:11:05	19:11:08	137		[137 has fully erased the chat message]
	05/09/2006	19:11:08	19:11:10	137		[137 has fully erased the chat message]
258	05/09/2006	19:11:10	19:11:13	137	chat	Bye.
259	05/09/2006		19:11:14	137	leaves	leaves the room
260	05/09/2006	19:11:20	19:11:24	azemel	chat	bye bye!!!
261	05/09/2006		19:11:29	Jason	leaves	leaves the room
262	05/09/2006	19:12:07	19:12:10	ssjnish	chat	i g2g also
263	05/09/2006	19:12:12	19:12:24	ssjnish	chat	sorry bout holdin u guys up
264	05/09/2006	19:12:20	19:12:26	azemel	chat	be sure to come back next week ssjnish
265	05/09/2006	19:12:31	19:12:31	ssjnish	chat	ok
266	05/09/2006	19:12:33	19:12:34	ssjnish	chat	wait
267	05/09/2006	19:12:29	19:12:34	azemel	chat	you didn't hold anybody up!
268	05/09/2006	19:12:36	19:12:45	ssjnish	chat	is there one on thursday
269	05/09/2006	19:12:48	19:12:50	azemel	chat	yes there is
270	05/09/2006	19:12:51	19:12:54	azemel	chat	at 7 pm
	05/09/2006	19:12:56	19:12:59	azemel		[azemel has fully erased the chat message]
271	05/09/2006	19:12:59	19:13:03	azemel	chat	eastern time
272	05/09/2006	19:13:09	19:13:09	ssjnish	chat	kk
273	05/09/2006	19:13:08	19:13:16	azemel	chat	thanks for slowing them down and getting them to explain
274	05/09/2006	19:13:27	19:13:27	ssjnish	chat	?
275	05/09/2006	19:13:30	19:13:46	ssjnish	chat	was thqat supposed to be a compliment...?
276	05/09/2006		19:13:52	ssjnish	leaves	leaves the room
277	05/09/2006	19:13:44	19:13:53	azemel	chat	i liked your questions ... yes!
278	05/09/2006		19:20:05	azemel	leaves	leaves the room
279	05/10/2006		10:51:36	jsarmi	joins	joins the room
280	05/10/2006		12:13:20	azemel	joins	joins the room
281	05/10/2006		12:51:51	azemel	leaves	leaves the room
282	05/10/2006		17:45:54	jsarmi	leaves	leaves the room
283	05/11/2006		12:48:37	tutor	joins	joins the room
284	05/11/2006		15:52:41	Cynthia	joins	joins the room
285	05/11/2006		16:16:34	tutor	leaves	leaves the room
286	05/11/2006		16:26:47	Cynthia	leaves	leaves the room
287	05/11/2006		16:53:38	jsarmi	joins	joins the room
	05/11/2006		16:54:18	jsarmi	START:TextEditing
	05/11/2006		16:54:38	jsarmi	END:TextEditing
	05/11/2006		16:54:38	jsarmi	wb	[jsarmi created a textbox ]
	05/11/2006		16:54:44	jsarmi	wb	[jsarmi resized some objects ]
	05/11/2006		16:54:52	jsarmi	wb	[jsarmi changed layout ]
	05/11/2006		16:54:59	jsarmi	START:TextEditing
	05/11/2006		16:55:13	jsarmi	END:TextEditing
	05/11/2006		16:55:13	jsarmi	wb	[jsarmi changed the text to: Dear 137, davidcyl, Jason, and ssjnish, It seemed to us that you had a very productive first session exploring the given pattern of sticks and squares. We were especially interested in the variety of strategies you used, such as constructing the next steps of the pattern on the whiteboard, separating the pattern in horizontal and vertical lines (other teams did that as well!) and deriving a formula for that sum. As far as working as a math team, you built on each other’s ideas and tried to work with them in interesting ways. We find it very important that ssjnish felt comfortable asking the team to explain in detail the reasoning for the work completed (e.g. ssjnish 5/9/06 6:47:51 PM EDT: but how did u get that formula?), and that as a team you provided that explanation. It looked useful to us when your group tested together the formula you found. One question that was left unexplored was whether a recursive function shows better how the number of sticks and square grow. Someone offered that as a possibility but you opted for using a summation notation. We notice when ideas or questions are stated in a group but not discussed. What do you think about that situation and how groups deal with it? For the next step we will encourage you to think more about the different approaches and the problems that you can discover on your own which you find interesting to pursue. The VMT team. (Feel free to delete this note once everyone has read it) ]
288	05/11/2006		16:55:31	jsarmi	leaves	leaves the room
289	05/11/2006		18:54:11	Cynthia	joins	joins the room
290	05/11/2006		18:55:13	Cynthia	leaves	leaves the room
291	05/11/2006		19:01:22	Cynthia	joins	joins the room
292	05/11/2006		19:04:28	Jason	joins	joins the room
293	05/11/2006		19:04:39	137	joins	joins the room
294	05/11/2006		19:05:08	Cynthia	leaves	leaves the room
295	05/11/2006		19:05:26	Cynthia	joins	joins the room
	05/11/2006		19:05:52	137	wb	[137 created a line ]
	05/11/2006		19:05:55	137	wb	[137 created a line ]
	05/11/2006		19:05:59	137	wb	[137 created a line ]
	05/11/2006		19:06:01	137	wb	[137 created a line ]
	05/11/2006		19:06:03	137	wb	[137 created a line ]
	05/11/2006		19:06:05	137	wb	[137 created a line ]
296	05/11/2006	19:05:42	19:06:06	Cynthia	chat	so hi ya'll, I guess you're reading the pink textbox
	05/11/2006		19:06:07	137	wb	[137 created a line ]
297	05/11/2006		19:06:10	hcrussel	joins	joins the room
	05/11/2006		19:06:25	hcrussel	wb	[hcrussel moved some object/s ]
298	05/11/2006		19:06:36	qwertyuiop	joins	joins the room
	05/11/2006		19:06:49	137	wb	[137 moved some object/s ]
	05/11/2006		19:06:51	137	wb	[137 moved some object/s ]
	05/11/2006		19:06:53	137	wb	[137 moved some object/s ]
	05/11/2006		19:06:55	137	wb	[137 moved some object/s ]
	05/11/2006		19:06:56	137	wb	[137 moved some object/s ]
	05/11/2006		19:06:58	137	wb	[137 moved some object/s ]
	05/11/2006		19:07:01	137	wb	[137 moved some object/s ]
	05/11/2006		19:07:12	137	wb	[137 resized some objects ]
	05/11/2006		19:07:15	137	wb	[137 moved some object/s ]
	05/11/2006		19:07:25	137	wb	[137 moved some object/s ]
299	05/11/2006	19:06:58	19:07:32	Cynthia	chat	So everyone want to say hi or something just to show us we're here, kind of virual roll call
300	05/11/2006	19:07:38	19:07:38	137	chat	Here.
301	05/11/2006	19:07:45	19:07:45	Jason	chat	hi
302	05/11/2006	19:07:47	19:07:48	qwertyuiop	chat	hi
303	05/11/2006	19:07:46	19:07:52	Jason	chat	ssjnish says that his client is still loading
	05/11/2006		19:07:54	Jason	wb	[Jason moved some object/s ]
	05/11/2006	19:07:56	19:08:04	137		[137 has fully erased the chat message]
	05/11/2006	19:08:03	19:08:29	Cynthia		[Cynthia has fully erased the chat message]
	05/11/2006		19:08:40	137	wb	[137 created a line ]
	05/11/2006		19:08:42	137	wb	[137 created a line ]
	05/11/2006		19:08:46	137	wb	[137 created a line ]
	05/11/2006		19:08:54	137	wb	[137 resized some objects ]
	05/11/2006		19:08:56	137	wb	[137 resized some objects ]
	05/11/2006	19:08:31	19:08:58	Cynthia		[Cynthia has fully erased the chat message]
	05/11/2006		19:09:01	137	wb	[137 resized some objects ]
	05/11/2006		19:09:04	137	wb	[137 resized some objects ]
	05/11/2006	19:09:27	19:09:28	Jason		[Jason has fully erased the chat message]
304	05/11/2006	19:09:28	19:09:46	Jason	chat	i think i might have a connection problem... all i'm seeing in this chat area is a series of small yellow squares
305	05/11/2006	19:10:19	19:10:20	Jason	chat	anybody there?
306	05/11/2006	19:10:24	19:10:25	qwertyuiop	chat	hi
307	05/11/2006	19:10:30	19:10:32	Jason	chat	alright, got that
308	05/11/2006	19:10:45	19:10:58	Cynthia	chat	so are you referring to something in the feedback jason
309	05/11/2006	19:11:09	19:11:15	Jason	chat	no, i'm talking about this chat area
310	05/11/2006	19:11:18	19:11:23	Jason	chat	i got the previous message here
311	05/11/2006	19:11:24	19:11:30	Jason	chat	however i think my internet connection may be unstable
312	05/11/2006	19:11:35	19:12:07	Cynthia	chat	oh i see, I thought you were posing a different math problem of little yellow squares :-)
313	05/11/2006	19:12:24	19:12:39	Cynthia	chat	so do you all see a pink textbox with the feedback?
314	05/11/2006	19:12:43	19:12:43	Jason	chat	yes
315	05/11/2006		19:13:31	hcrussel	leaves	leaves the room
	05/11/2006		19:13:41	qwertyuiop	wb	[qwertyuiop moved some object/s ]
316	05/11/2006	19:13:52	19:13:53	137	chat	Yes.
	05/11/2006	19:13:58	19:14:14	Cynthia		[Cynthia has fully erased the chat message]
	05/11/2006	19:15:04	19:15:17	137		[137 has fully erased the chat message]
317	05/11/2006	19:15:19	19:15:29	137	chat	Is nobody posting or am I lagging?
318	05/11/2006	19:15:35	19:15:42	qwertyuiop	chat	nobody is posting
319	05/11/2006		19:15:43	jsarmi	joins	joins the room
320	05/11/2006	19:15:41	19:15:44	Jason	chat	i don't think anyone is posing
321	05/11/2006	19:15:45	19:15:46	137	chat	Whew.
	05/11/2006	19:15:50	19:15:52	137		[137 has fully erased the chat message]
322	05/11/2006		19:16:03	Cynthia	leaves	leaves the room
	05/11/2006	19:15:53	19:16:12	Jason		[Jason has fully erased the chat message]
	05/11/2006		19:16:33	137	wb	[137 moved some object/s ]
323	05/11/2006	19:16:15	19:16:34	jsarmi	chat	So... did you guys see the instructions in the View Topic window, (Session II)?
324	05/11/2006	19:16:18	19:16:37	Jason	chat	ssjnish is currently restarting his laptop and will attempt to reconnect in a few minutes.
	05/11/2006		19:16:39	137	wb	[137 resized some objects ]
325	05/11/2006	19:16:40	19:16:40	Jason	chat	yes	[1] Reference to message No. 323 (Text: So... did you guys see the instructions in the View Topic window, (Session II)? )
326	05/11/2006	19:16:43	19:16:44	137	chat	Same here.
	05/11/2006	19:16:52	19:16:52	Jason		[Jason has fully erased the chat message]
327	05/11/2006	19:16:58	19:17:00	qwertyuiop	chat	where?	[1] Reference to message No. 323 (Text: So... did you guys see the instructions in the View Topic window, (Session II)? )
328	05/11/2006	19:16:50	19:17:08	jsarmi	chat	great... then you can start and then bring ssjnish up to speed when he gets here
	05/11/2006	19:17:13	19:17:13	jsarmi		[jsarmi has fully erased the chat message]
329	05/11/2006	19:17:17	19:17:25	137	chat	Up above the whiteboard on the right.
330	05/11/2006	19:17:26	19:17:33	137	chat	The "View Topic" button.
331	05/11/2006	19:16:56	19:17:39	Jason	chat	Please note that ssjnish and I share the same ISP -- InsightBB -- which is currently doing some maintenance work; they have warned us that during these few weeks, our network connections may be less reliable	[1] Reference to message No. 324 (Text: ssjnish is currently restarting his laptop and will attempt to reconnect in a few minutes. )
332	05/11/2006	19:17:52	19:18:02	qwertyuiop	chat	yes	[1] Reference to message No. 330 (Text: The "View Topic" button. )
333	05/11/2006	19:17:56	19:18:07	Jason	chat	ok, so with this aside-- i guess we should discuss our feedback from the last session
334	05/11/2006	19:18:23	19:18:34	jsarmi	chat	make sure you bring qwertyuiop up to speed	[1] Reference to message No. 333 (Text: ok, so with this aside-- i guess we should discuss our feedback from the last session )
	05/11/2006	19:18:24	19:18:35	137		[137 has fully erased the chat message]
335	05/11/2006	19:18:41	19:18:41	Jason	chat	ok
	05/11/2006	19:18:44	19:18:51	Jason		[Jason has fully erased the chat message]
	05/11/2006	19:18:51	19:19:12	Jason		[Jason has fully erased the chat message]
	05/11/2006	19:19:12	19:19:16	Jason		[Jason has fully erased the chat message]
336	05/11/2006	19:19:17	19:19:35	Jason	chat	for the problems last session, we came up with formulas to find the values for the columns	[1] Reference to message No. 332 (Text: yes )
337	05/11/2006	19:19:53	19:20:02	qwertyuiop	chat	in the view topic thing?
338	05/11/2006	19:19:38	19:20:03	Jason	chat	You can see them to the left of this text; our formula for the total number of sticks or squares for any number N is given
339	05/11/2006	19:20:09	19:20:09	Jason	chat	yes	[1] Reference to message No. 337 (Text: in the view topic thing? )
340	05/11/2006	19:20:12	19:20:12	qwertyuiop	chat	ok
341	05/11/2006	19:20:09	19:20:17	Jason	chat	that was the problem we were given
	05/11/2006	19:20:17	19:20:22	Jason		[Jason has fully erased the chat message]
342	05/11/2006	19:20:22	19:20:39	Jason	chat	remains of our discussion is on the whiteboard and online wiki
	05/11/2006	19:20:59	19:21:01	137		[137 has fully erased the chat message]
343	05/11/2006	19:21:14	19:21:25	137	chat	I think David forgot today... Our teacher didn't remind us.
	05/11/2006	19:21:37	19:21:46	Jason		[Jason has fully erased the chat message]
	05/11/2006		19:21:51	137	wb	[137 moved some object/s ]
344	05/11/2006	19:22:23	19:22:35	jsarmi	chat	I see... hopefully he will join you next Tuesday	[1] Reference to message No. 343 (Text: I think David forgot today... Our teacher didn't remind us. )
345	05/11/2006	19:22:43	19:23:35	qwertyuiop	chat	n=3 is 3+2+1 squares, n=4 is 4+3+2+1 squares... how did you get n(1+n)/2
346	05/11/2006	19:23:41	19:23:42	Jason	chat	oh
347	05/11/2006	19:23:42	19:23:53	Jason	chat	that's the formula for finding a series of consecutive numbers
348	05/11/2006	19:23:55	19:24:08	Jason	chat	1+2+3+4+...n = ((n)(n+1))/2
	05/11/2006		19:24:13	Jason	wb	[Jason created a image ]
	05/11/2006		19:24:23	Jason	wb	[Jason created a image ]
	05/11/2006		19:24:25	Jason	wb	[Jason moved some object/s ]
	05/11/2006		19:24:26	Jason	wb	[Jason moved some object/s ]
	05/11/2006		19:24:28	Jason	wb	[Jason moved some object/s ]
	05/11/2006		19:24:29	Jason	wb	[Jason deleted some object/s ]
349	05/11/2006	19:24:37	19:24:45	Jason	chat	is anyone else getting boxes like these in their chat window?	[1] Reference to whiteboard (ImageStuff-1147389866453-24184240)
350	05/11/2006	19:24:30	19:24:55	qwertyuiop	chat	i don't suppose the chat box is supposed to be jumping around my screen?
351	05/11/2006	19:25:00	19:25:00	137	chat	NO,
352	05/11/2006	19:24:53	19:25:03	jsarmi	chat	yes... they are new and represent activity on the whitebaord	[1] Reference to message No. 349 (Text: is anyone else getting boxes like these in their chat window? )
	05/11/2006		19:25:07	137	wb	[137 moved some object/s ]
353	05/11/2006		19:25:10	Cynthia	joins	joins the room
	05/11/2006		19:25:10	137	wb	[137 moved some object/s ]
354	05/11/2006	19:25:10	19:25:10	Jason	chat	i see
	05/11/2006	19:25:11	19:25:17	jsarmi		[jsarmi has fully erased the chat message]
355	05/11/2006	19:25:16	19:25:18	137	chat	Oops.
356	05/11/2006	19:25:18	19:25:19	137	chat	No.
357	05/11/2006	19:25:21	19:25:27	137	chat	Didn't want to connote yelling.
	05/11/2006	19:25:34	19:25:37	Jason		[Jason has fully erased the chat message]
	05/11/2006	19:25:26	19:25:44	jsarmi		[jsarmi has fully erased the chat message]
358	05/11/2006	19:25:47	19:25:49	jsarmi	chat	lol :-)	[1] Reference to message No. 357 (Text: Didn't want to connote yelling. )
	05/11/2006		19:25:57	Jason	wb	[Jason deleted some object/s ]
359	05/11/2006	19:25:59	19:26:00	jsarmi	chat	carry on
	05/11/2006		19:26:01	Jason	wb	[Jason deleted some object/s ]
360	05/11/2006	19:26:09	19:26:09	Jason	chat	ok	[1] Reference to whiteboard (whiteboardDoc)
361	05/11/2006	19:26:10	19:26:11	Jason	chat	anyways
362	05/11/2006	19:26:16	19:26:32	Jason	chat	so apparently there's something with a recursive sequence that we should discuss
	05/11/2006	19:26:38	19:26:40	137		[137 has fully erased the chat message]
	05/11/2006	19:26:42	19:26:43	137		[137 has fully erased the chat message]
363	05/11/2006	19:26:43	19:26:55	137	chat	What was a recursice sequence again?
364	05/11/2006	19:26:53	19:27:03	qwertyuiop	chat	recursive sequence?	[1] Reference to message No. 362 (Text: so apparently there's something with a recursive sequence that we should discuss )
365	05/11/2006	19:26:41	19:27:18	Jason	chat	i think that an explicit formula is better, but a recursive one would show how the number of squares/sticks increases as N increases
366	05/11/2006	19:27:26	19:27:35	Jason	chat	it's something like this:	[1] Reference to message No. 364 (Text: recursive sequence? )
367	05/11/2006	19:27:37	19:27:45	Jason	chat	a(n) = 5+ a(n-1)
368	05/11/2006	19:27:46	19:27:53	Jason	chat	where the things in parentheses are supposed to be subscripts
369	05/11/2006	19:27:55	19:28:07	Jason	chat	so a recursive formula relies on the value of a previous function
370	05/11/2006	19:28:04	19:28:09	137	chat	Ah, I see.	[1] Reference to message No. 365 (Text: i think that an explicit formula is better, but a recursive one would show how the number of squares/sticks increases as N increases )
371	05/11/2006	19:28:10	19:28:19	Jason	chat	thus, you must specify something first, like a(1) = 4
372	05/11/2006	19:28:24	19:28:29	qwertyuiop	chat	i get it	[1] Reference to message No. 369 (Text: so a recursive formula relies on the value of a previous function )
373	05/11/2006	19:28:52	19:28:54	Jason	chat	great :-)
374	05/11/2006	19:29:03	19:30:07	qwertyuiop	chat	for the number of squares, would that be: a(n)=n2-1
375	05/11/2006	19:29:58	19:30:15	137	chat	so a(1)=1, a(n)=n+a(n-1)...	[1] Reference to message No. 371 (Text: thus, you must specify something first, like a(1) = 4 )
376	05/11/2006	19:30:15	19:30:18	137	chat	For squares...
	05/11/2006		19:30:35	137	wb	[137 resized some objects ]
	05/11/2006		19:30:38	137	wb	[137 moved some object/s ]
377	05/11/2006	19:30:31	19:30:39	Jason	chat	it looks right... lets check for a few values of N	[1] Reference to message No. 376 (Text: For squares... )
378	05/11/2006	19:31:01	19:31:06	Jason	chat	when N = 1, #squares = 1
	05/11/2006	19:31:06	19:31:07	137		[137 has fully erased the chat message]
	05/11/2006	19:31:08	19:31:10	137		[137 has fully erased the chat message]
379	05/11/2006	19:31:11	19:31:19	137	chat	When N is 2, a is 3.
380	05/11/2006	19:31:19	19:31:22	Jason	chat	yup, i think thats right
	05/11/2006	19:31:37	19:31:39	qwertyuiop		[qwertyuiop has fully erased the chat message]
381	05/11/2006		19:31:47	137	chat
382	05/11/2006	19:31:51	19:31:52	137	chat	Oops.	[1] Reference to message No. 381 (Text: )
383	05/11/2006	19:32:15	19:33:06	137	chat	b(1)=4, b(n)=b(n-1)+4(n)-(n-1)-(n-1), b is the number ofr sticks...
384	05/11/2006	19:33:08	19:33:30	137	chat	So b(n)=b(n-1)+2n+2?
385	05/11/2006	19:33:42	19:33:51	Jason	chat	assuming only (n-1) is a subscript?
386	05/11/2006	19:34:23	19:34:32	qwertyuiop	chat	what does the subscript mean?	[1] Reference to message No. 385 (Text: assuming only (n-1) is a subscript? )
	05/11/2006	19:34:47	19:34:48	Jason		[Jason has fully erased the chat message]
387	05/11/2006	19:34:48	19:34:57	Jason	chat	read "b of n minus 1"
	05/11/2006	19:35:00	19:35:00	Jason		[Jason has fully erased the chat message]
388	05/11/2006	19:35:02	19:35:03	137	chat	Yes.	[1] Reference to message No. 385 (Text: assuming only (n-1) is a subscript? )
	05/11/2006	19:35:01	19:35:04	Jason		[Jason has fully erased the chat message]
389	05/11/2006	19:35:10	19:35:10	Jason	chat	ok
390	05/11/2006	19:35:12	19:35:13	Jason	chat	did u check that
	05/11/2006	19:35:19	19:35:20	Jason		[Jason has fully erased the chat message]
391	05/11/2006	19:35:21	19:35:39	Jason	chat	looks correct
392	05/11/2006	19:35:40	19:35:45	Jason	chat	how did you get it?
393	05/11/2006	19:36:16	19:36:23	137	chat	There are n-1 overlaps here...
394	05/11/2006	19:36:23	19:36:24	137	chat	Wait.
	05/11/2006		19:36:29	137	wb	[137 created a scribble ]
	05/11/2006		19:36:30	137	wb	[137 created a scribble ]
	05/11/2006		19:36:32	137	wb	[137 created a scribble ]
395	05/11/2006	19:36:34	19:36:36	137	chat	Those.
396	05/11/2006	19:36:36	19:36:43	137	chat	And n-1 here:
397	05/11/2006	19:36:40	19:36:45	qwertyuiop	chat	those?
	05/11/2006		19:36:46	137	wb	[137 created a scribble ]
	05/11/2006		19:36:48	137	wb	[137 created a scribble ]
	05/11/2006		19:36:49	137	wb	[137 created a scribble ]
	05/11/2006		19:36:50	137	wb	[137 created a scribble ]
398	05/11/2006	19:36:53	19:36:57	Jason	chat	what do you mean by :"overlaps"
	05/11/2006	19:36:54	19:37:03	137		[137 has fully erased the chat message]
399	05/11/2006	19:37:03	19:37:17	137	chat	They're counted twise; they belong to two boxes.
	05/11/2006		19:37:44	137	wb	[137 created a scribble ]
	05/11/2006		19:37:45	137	wb	[137 created a scribble ]
	05/11/2006		19:37:45	137	wb	[137 created a scribble ]
	05/11/2006		19:37:46	137	wb	[137 created a scribble ]
	05/11/2006		19:37:47	137	wb	[137 created a scribble ]
	05/11/2006	19:38:04	19:38:04	Jason		[Jason has fully erased the chat message]
400	05/11/2006	19:38:05	19:38:13	Jason	chat	are you guys still talking about that formula?
401	05/11/2006	19:38:15	19:38:22	Jason	chat	because i dont think the overlap in the diagrams matters
402	05/11/2006	19:38:20	19:38:23	137	chat	Yeah...
403	05/11/2006	19:38:29	19:38:36	Jason	chat	if you are only calculating the number of sticks
404	05/11/2006	19:37:52	19:39:02	qwertyuiop	chat	might be easier if you think of each square corisponding to 2 sides-the right and bottom sides, and then add the upper left border
405	05/11/2006	19:39:20	19:39:50	qwertyuiop	chat	so it's number of squares*2 +...
406	05/11/2006	19:40:00	19:40:04	Jason	chat	i don't see how the borders overlap
407	05/11/2006	19:40:05	19:40:10	Jason	chat	if it's just right and bottom
408	05/11/2006	19:40:18	19:40:18	137	chat	?	[1] Reference to message No. 406 (Text: i don't see how the borders overlap )
409	05/11/2006	19:40:09	19:40:32	qwertyuiop	chat	number of squares*2 + n*2	[1] Reference to message No. 405 (Text: so it's number of squares*2 +... )
410	05/11/2006	19:40:44	19:40:46	qwertyuiop	chat	overlap?	[1] Reference to message No. 406 (Text: i don't see how the borders overlap )
411	05/11/2006	19:41:12	19:41:23	137	chat	Yeah, that should be right...	[1] Reference to message No. 409 (Text: number of squares*2 + n*2 )
	05/11/2006		19:41:29	137	wb	[137 created a scribble ]
412	05/11/2006	19:41:19	19:41:48	Jason	chat	well this requires you to first calculate number of squares; i think the formulas for each of these should be seperate	[1] Reference to message No. 409 (Text: number of squares*2 + n*2 )
413	05/11/2006	19:41:52	19:41:58	Jason	chat	i liked the original formula
	05/11/2006	19:41:59	19:42:01	Jason		[Jason has fully erased the chat message]
	05/11/2006	19:41:59	19:42:05	qwertyuiop		[qwertyuiop has fully erased the chat message]
414	05/11/2006	19:42:01	19:42:05	Jason	chat	in my quick checking it worked
415	05/11/2006	19:42:04	19:42:06	137	chat	So did I...	[1] Reference to message No. 413 (Text: i liked the original formula )
416	05/11/2006	19:42:13	19:42:18	137	chat	The first one seeemed simpler.
417	05/11/2006	19:42:31	19:42:39	Jason	chat	but this one has a nice explanation :-)
418	05/11/2006	19:42:43	19:42:43	Jason	chat	i mean	[1] Reference to message No. 409 (Text: number of squares*2 + n*2 )
419	05/11/2006	19:42:06	19:42:54	qwertyuiop	chat	we already have the square formula; just include it: n(1+n)+n2
420	05/11/2006	19:43:15	19:43:16	Jason	chat	yup
421	05/11/2006	19:43:14	19:43:41	qwertyuiop	chat	that looks like the same thing as n*(N+3) at a glance...	[1] Reference to message No. 419 (Text: we already have the square formula; just include it: n(1+n)+n2 )
422	05/11/2006	19:43:18	19:43:51	Jason	chat	so speaking of formulas, we got both explicit and recursive definitions for sticks/squares; explicit is easier while recursive shows how each step grows from the previous
423	05/11/2006	19:45:23	19:45:40	qwertyuiop	chat	how do i type on the white board?
424	05/11/2006	19:45:46	19:45:55	Jason	chat	click the text box (icon with A and lines in it)
	05/11/2006	19:45:59	19:45:59	Jason		[Jason has fully erased the chat message]
425	05/11/2006	19:45:46	19:46:01	137	chat	Use the text box option, next to the camera.	[1] Reference to message No. 423 (Text: how do i type on the white board? )
	05/11/2006	19:46:00	19:46:03	Jason		[Jason has fully erased the chat message]
	05/11/2006	19:46:06	19:46:08	137		[137 has fully erased the chat message]
426	05/11/2006	19:46:11	19:46:13	137	chat	Oops, two over.	[1] Reference to message No. 425 (Text: Use the text box option, next to the camera. )
427	05/11/2006	19:46:11	19:46:13	Jason	chat	two away from camera	[1] Reference to message No. 425 (Text: Use the text box option, next to the camera. )
	05/11/2006	19:46:15	19:46:17	Jason		[Jason has fully erased the chat message]
428	05/11/2006	19:46:21	19:46:23	qwertyuiop	chat	see it
	05/11/2006		19:46:28	qwertyuiop	START:TextEditing
	05/11/2006		19:46:30	qwertyuiop	END:TextEditing
	05/11/2006		19:46:40	qwertyuiop	START:TextEditing
	05/11/2006		19:46:42	qwertyuiop	END:TextEditing
	05/11/2006		19:46:45	qwertyuiop	START:TextEditing
	05/11/2006		19:47:23	qwertyuiop	END:TextEditing
	05/11/2006		19:47:23	qwertyuiop	wb	[qwertyuiop changed the text to: Formula for total # of squares: n(1+n)/2 a(n)=n+a(n-1) ]
429	05/11/2006	19:48:02	19:48:12	137	chat	Er... Am I lagging or is nobody typing?
	05/11/2006	19:48:17	19:48:18	Jason		[Jason has fully erased the chat message]
430	05/11/2006	19:48:16	19:48:21	qwertyuiop	chat	nobody is typing
431	05/11/2006	19:48:19	19:48:21	Jason	chat	typing now :)
	05/11/2006	19:48:24	19:48:25	qwertyuiop		[qwertyuiop has fully erased the chat message]
432	05/11/2006	19:48:26	19:48:37	qwertyuiop	chat	are there other problems to do?
433	05/11/2006	19:48:46	19:48:51	137	chat	I do not think so...
434	05/11/2006	19:48:57	19:48:58	Jason	chat	well
	05/11/2006	19:49:01	19:49:03	jsarmi		[jsarmi has fully erased the chat message]
435	05/11/2006	19:48:58	19:49:03	Jason	chat	we are supposed to come up with some
436	05/11/2006	19:49:08	19:49:10	qwertyuiop	chat	ok...
437	05/11/2006	19:48:57	19:49:13	Cynthia	chat	did you view the topic for tonight, session 2
438	05/11/2006	19:49:16	19:49:17	Jason	chat	WHAT IF? Mathematicians do not just solve other people's problems - they also explore little worlds of patterns that they define and find interesting. Think about other mathematical problems related to the problem with the sticks. For instance, consider other arrangements of squares in addition to the triangle arrangement (diamond, cross, etc.). What if instead of squares you use other polygons like triangles, hexagons, etc.? Which polygons work well for building patterns like this? How about 3-D figures, like cubes with edges, sides and cubes? What are the different methods (induction, series, recursion, graphing, tables, etc.) you can use to analye these different patterns?
	05/11/2006	19:49:04	19:49:30	137		[137 has fully erased the chat message]
439	05/11/2006	19:49:37	19:49:45	Cynthia	chat	thanks, jason
	05/11/2006	19:49:54	19:49:55	qwertyuiop		[qwertyuiop has fully erased the chat message]
440	05/11/2006	19:49:44	19:50:07	137	chat	Let's try diamonds first..	[1] Reference to message No. 438 (Text: WHAT IF? Mathematicians do not just solve other people's problems - they also explore little worlds of patterns that they define and find interesting. Think about other mathematical problems related to the problem with the sticks. For instance, consider other arrangements of squares in addition to the triangle arrangement (diamond, cross, etc.). What if instead of squares you use other polygons like triangles, hexagons, etc.? Which polygons work well for building patterns like this? How about 3-D figures, like cubes with edges, sides and cubes? What are the different methods (induction, series, recursion, graphing, tables, etc.) you can use to analye these different patterns? )
	05/11/2006		19:50:13	137	wb	[137 created a scribble ]
441	05/11/2006	19:50:16	19:50:17	Jason	chat	ok
	05/11/2006		19:50:19	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:22	137	wb	[137 moved some object/s ]
442	05/11/2006	19:50:18	19:50:27	Jason	chat	if the squares were arranged in a diamond-like shape...
	05/11/2006		19:50:27	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:31	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:35	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:37	qwertyuiop	wb	[qwertyuiop created a line ]
443	05/11/2006	19:50:29	19:50:37	Jason	chat	wait -- lemme make sure i read the directions carefully
	05/11/2006		19:50:39	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:39	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:40	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:40	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:42	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:43	137	wb	[137 moved some object/s ]
444	05/11/2006	19:50:44	19:50:44	Jason	chat	ok
	05/11/2006		19:50:45	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:46	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:46	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:48	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:48	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:49	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:51	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:51	137	wb	[137 moved some object/s ]
	05/11/2006		19:50:52	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:54	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:54	137	wb	[137 created a rectangle ]
	05/11/2006		19:50:56	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:57	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:50:57	137	wb	[137 created a rectangle ]
	05/11/2006		19:50:58	qwertyuiop	wb	[qwertyuiop created a line ]
445	05/11/2006	19:50:53	19:50:59	Jason	chat	thanks for drawing :)
	05/11/2006		19:51:00	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:00	137	wb	[137 changed layout ]
	05/11/2006		19:51:01	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:01	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:01	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:02	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:03	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:03	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:04	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:05	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:07	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:07	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:08	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:09	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:10	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:11	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:12	137	wb	[137 moved some object/s ]
	05/11/2006		19:51:14	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:15	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:16	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:18	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:19	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:20	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:21	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:23	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:23	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:25	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:27	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:27	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:29	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:29	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:30	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:31	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:31	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:32	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:33	137	wb	[137 created a rectangle ]
	05/11/2006		19:51:34	qwertyuiop	wb	[qwertyuiop created a line ]
	05/11/2006		19:51:35	137	wb	[137 created a rectangle ]
	05/11/2006	19:51:39	19:51:40	137		[137 has fully erased the chat message]
	05/11/2006	19:51:45	19:51:46	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/11/2006	19:51:45	19:51:47	137		[137 has fully erased the chat message]
446	05/11/2006	19:51:46	19:51:53	qwertyuiop	chat	like that? (at the top)
447	05/11/2006	19:51:49	19:51:55	137	chat	There's a square for later.
	05/11/2006		19:52:00	137	wb	[137 created a rectangle ]
	05/11/2006		19:52:01	137	wb	[137 created a rectangle ]
	05/11/2006		19:52:01	137	wb	[137 created a rectangle ]
	05/11/2006		19:52:02	137	wb	[137 created a rectangle ]
	05/11/2006		19:52:10	137	wb	[137 created a rectangle ]
	05/11/2006		19:52:13	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:14	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:19	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:21	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:22	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:24	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:25	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:27	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:28	137	wb	[137 moved some object/s ]
	05/11/2006		19:52:30	137	wb	[137 moved some object/s ]
448	05/11/2006	19:53:52	19:53:52	Jason	chat	ok
449	05/11/2006	19:53:54	19:53:57	Jason	chat	sorry for the delay on my part
	05/11/2006	19:53:59	19:54:02	Jason		[Jason has fully erased the chat message]
450	05/11/2006	19:53:13	19:54:03	137	chat	So the number of squares is n^2 +4, where n is a side length
451	05/11/2006	19:53:45	19:54:12	qwertyuiop	chat	the "each square with 2 sides" thing doesn't work as neatly here
452	05/11/2006	19:54:03	19:54:13	Jason	chat	if we look at rows, its 1, 3, 5, 3, 1
453	05/11/2006	19:54:22	19:54:28	qwertyuiop	chat	how did you get that?	[1] Reference to message No. 450 (Text: So the number of squares is n^2 +4, where n is a side length )
454	05/11/2006	19:54:26	19:54:29	Jason	chat	by side length you mean...	[1] Reference to message No. 450 (Text: So the number of squares is n^2 +4, where n is a side length )
	05/11/2006	19:54:34	19:54:35	137		[137 has fully erased the chat message]
	05/11/2006		19:54:42	137	wb	[137 created a rectangle ]
	05/11/2006		19:54:44	137	wb	[137 created a rectangle ]
	05/11/2006		19:54:46	137	wb	[137 created a rectangle ]
455	05/11/2006	19:54:47	19:54:50	137	chat	The orange.
	05/11/2006		19:54:55	137	wb	[137 moved some object/s ]
	05/11/2006	19:54:58	19:55:00	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/11/2006		19:55:00	137	wb	[137 moved some object/s ]
456	05/11/2006	19:54:58	19:55:01	Jason	chat	ooohh... clever :-)
	05/11/2006		19:55:04	137	wb	[137 moved some object/s ]
457	05/11/2006	19:55:00	19:55:08	qwertyuiop	chat	is the saide lenght?	[1] Reference to message No. 455 (Text: The orange. )
	05/11/2006		19:55:14	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:16	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:18	137	wb	[137 moved some object/s ]
458	05/11/2006	19:55:26	19:55:28	137	chat	Yes.
	05/11/2006		19:55:30	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:31	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:37	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:38	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:39	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:43	137	wb	[137 moved some object/s ]
	05/11/2006		19:55:45	137	wb	[137 moved some object/s ]
459	05/11/2006	19:55:45	19:55:52	Jason	chat	can you explain how you got that formula?
	05/11/2006		19:55:56	137	wb	[137 moved some object/s ]
460	05/11/2006	19:55:39	19:55:57	qwertyuiop	chat	so +4 is just for a side lenght of 3
461	05/11/2006	19:55:59	19:55:59	qwertyuiop	chat	?
	05/11/2006		19:56:03	137	wb	[137 moved some object/s ]
	05/11/2006		19:56:10	137	wb	[137 moved some object/s ]
	05/11/2006		19:56:11	137	wb	[137 moved some object/s ]
	05/11/2006		19:56:14	137	wb	[137 moved some object/s ]
	05/11/2006		19:56:16	137	wb	[137 moved some object/s ]
	05/11/2006		19:56:30	137	wb	[137 created a rectangle ]
	05/11/2006		19:56:32	Jason	wb	[Jason moved some object/s ]
	05/11/2006		19:56:33	137	wb	[137 created a rectangle ]
462	05/11/2006	19:56:39	19:56:40	137	chat	Erm...
463	05/11/2006	19:56:42	19:56:45	137	chat	I'll make a new one.
464	05/11/2006	19:56:37	19:56:45	Jason	chat	oops... sry i was trying to move that to the center
	05/11/2006		19:56:53	137	wb	[137 created a rectangle ]
	05/11/2006		19:57:00	137	wb	[137 moved some object/s ]
	05/11/2006		19:57:04	137	wb	[137 changed layout ]
	05/11/2006		19:57:07	137	wb	[137 created a rectangle ]
	05/11/2006		19:57:11	137	wb	[137 created a rectangle ]
	05/11/2006		19:57:14	137	wb	[137 created a rectangle ]
465	05/11/2006	19:57:16	19:57:17	137	chat	There.
	05/11/2006		19:57:21	137	wb	[137 changed layout ]
	05/11/2006		19:57:26	137	wb	[137 created a rectangle ]
466	05/11/2006	19:57:25	19:57:28	Jason	chat	thanks... and my apologies
467	05/11/2006	19:57:28	19:57:30	137	chat	Erm...
	05/11/2006		19:57:33	137	wb	[137 changed layout ]
	05/11/2006		19:57:34	137	wb	[137 created a rectangle ]
	05/11/2006		19:57:35	137	wb	[137 created a rectangle ]
	05/11/2006		19:57:35	137	wb	[137 created a rectangle ]
	05/11/2006	19:57:37	19:57:39	137		[137 has fully erased the chat message]
468	05/11/2006	19:57:46	19:58:01	137	chat	Why can't my fill thing un-fill stuff?
	05/11/2006		19:58:04	137	wb	[137 created a rectangle ]
	05/11/2006		19:58:04	137	wb	[137 created a rectangle ]
	05/11/2006		19:58:10	137	wb	[137 created a rectangle ]
	05/11/2006		19:58:12	137	wb	[137 created a rectangle ]
	05/11/2006		19:58:13	137	wb	[137 created a rectangle ]
	05/11/2006		19:58:17	137	wb	[137 created a rectangle ]
	05/11/2006		19:58:20	137	wb	[137 created a rectangle ]
469	05/11/2006	19:58:18	19:58:23	Jason	chat	just go up there and select "no fill"
	05/11/2006		19:58:24	137	wb	[137 changed layout ]
	05/11/2006		19:58:31	137	wb	[137 changed layout ]
470	05/11/2006	19:58:29	19:58:36	Jason	chat	if that's the case, then i guess we have to use recursion again	[1] Reference to message No. 460 (Text: so +4 is just for a side lenght of 3 )
	05/11/2006		19:58:39	137	wb	[137 changed layout ]
	05/11/2006	19:58:49	19:58:50	137		[137 has fully erased the chat message]
471	05/11/2006	19:58:54	20:00:17	137	chat	It doesn't seem to work for clearing already painted areas.	[1] Reference to message No. 469 (Text: just go up there and select "no fill" )
472	05/11/2006	20:00:17	20:00:17	137	chat	It doesn't seem to work for clearing already-painted areas.
	05/11/2006	20:00:17	20:00:18	137		[137 has fully erased the chat message]
	05/11/2006	20:00:18	20:00:18	137		[137 has fully erased the chat message]
	05/11/2006	20:00:18	20:00:18	137		[137 has fully erased the chat message]
473	05/11/2006	20:00:18	20:00:18	137	chat	Can someone tell if my messages appeared on the chat? I can't see them/
	05/11/2006		20:00:18	137	START:TextEditing
	05/11/2006		20:00:22	137	END:TextEditing
474	05/11/2006	20:00:25	20:00:29	137	chat	Oh, nevermind.
475	05/11/2006	20:00:30	20:00:30	137	chat	Lag.
	05/11/2006		20:00:37	137	wb	[137 created a rectangle ]
476	05/11/2006	20:00:26	20:00:39	jsarmi	chat	tehy seem to be ok on my side 137 maybe a little bottleneck	[1] Reference to message No. 473 (Text: Can someone tell if my messages appeared on the chat? I can't see them/ )
	05/11/2006		20:00:46	137	wb	[137 created a rectangle ]
	05/11/2006		20:00:48	137	wb	[137 created a rectangle ]
477	05/11/2006	20:00:48	20:00:52	Jason	chat	anyways, is that true?	[1] Reference to message No. 470 (Text: if that's the case, then i guess we have to use recursion again )
478	05/11/2006	19:59:31	20:00:57	qwertyuiop	chat	i think NumberOfSides=NumberOfSquares*2+SideLength*3-2
	05/11/2006		20:01:05	137	wb	[137 created a rectangle ]
	05/11/2006	20:01:11	20:01:16	jsarmi		[jsarmi has fully erased the chat message]
	05/11/2006		20:01:17	137	wb	[137 resized some objects ]
479	05/11/2006	20:01:25	20:01:29	Jason	chat	wait-- you gave a formula earlier
	05/11/2006		20:01:33	137	wb	[137 changed layout ]
480	05/11/2006	20:01:30	20:01:34	Jason	chat	lemme see if i can find it
	05/11/2006		20:01:38	137	wb	[137 changed layout ]
481	05/11/2006	20:01:18	20:01:42	qwertyuiop	chat	because it's like the first shape, but with 3 other edges	[1] Reference to message No. 478 (Text: i think NumberOfSides=NumberOfSquares*2+SideLength*3-2 )
	05/11/2006		20:01:54	137	wb	[137 moved some object/s ]
482	05/11/2006	20:01:54	20:01:55	Jason	chat	this one	[1] Reference to message No. 450 (Text: So the number of squares is n^2 +4, where n is a side length )
	05/11/2006		20:01:56	137	wb	[137 moved some object/s ]
	05/11/2006		20:01:58	137	wb	[137 moved some object/s ]
	05/11/2006		20:02:00	137	wb	[137 moved some object/s ]
	05/11/2006		20:02:03	137	wb	[137 moved some object/s ]
	05/11/2006		20:02:11	137	wb	[137 moved some object/s ]
	05/11/2006		20:02:12	137	wb	[137 moved some object/s ]
483	05/11/2006	20:02:04	20:02:12	Jason	chat	oh but you're talking about # of sides
	05/11/2006		20:02:13	137	wb	[137 moved some object/s ]
484	05/11/2006	20:02:18	20:02:19	qwertyuiop	chat	yeah	[1] Reference to message No. 483 (Text: oh but you're talking about # of sides )
485	05/11/2006	20:02:35	20:02:44	137	chat	Oh, yeah that's the blue in this diagram...
486	05/11/2006	20:02:45	20:02:45	137	chat	Wait.
487	05/11/2006	20:02:34	20:02:50	qwertyuiop	chat	the minus 2 is for the upper and left corners	[1] Reference to message No. 478 (Text: i think NumberOfSides=NumberOfSquares*2+SideLength*3-2 )
488	05/11/2006	20:02:55	20:03:00	137	chat	Great. My controls froze.
489	05/11/2006	20:03:02	20:03:07	137	chat	For the whiteboard.
490	05/11/2006	20:03:25	20:03:36	jsarmi	chat	this happens if you go bak in the "history" of the whitebaord	[1] Reference to message No. 489 (Text: For the whiteboard. )
491	05/11/2006	20:03:37	20:03:58	jsarmi	chat	Use the slider on the far left to come to the "present" moment of the whiteboard and your controls will get active again
	05/11/2006	20:03:59	20:04:00	137		[137 has fully erased the chat message]
492	05/11/2006	20:04:05	20:04:07	137	chat	Thanks.	[1] Reference to message No. 491 (Text: Use the slider on the far left to come to the "present" moment of the whiteboard and your controls will get active again )
493	05/11/2006	20:04:11	20:04:13	jsarmi	chat	sure
	05/11/2006		20:04:19	137	wb	[137 created a rectangle ]
494	05/11/2006	20:04:21	20:04:42	137	chat	So the blue is n^2 and there are 4 more squares outside for each...
	05/11/2006		20:04:43	137	wb	[137 created a rectangle ]
	05/11/2006		20:04:48	137	wb	[137 changed layout ]
	05/11/2006		20:04:50	137	wb	[137 created a rectangle ]
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	05/11/2006		20:04:57	137	wb	[137 created a rectangle ]
	05/11/2006	20:04:59	20:05:00	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/11/2006		20:05:01	137	wb	[137 created a rectangle ]
	05/11/2006		20:05:07	137	wb	[137 moved some object/s ]
	05/11/2006		20:05:12	137	wb	[137 created a rectangle ]
495	05/11/2006	20:05:01	20:05:12	qwertyuiop	chat	that's number of squares?	[1] Reference to message No. 494 (Text: So the blue is n^2 and there are 4 more squares outside for each... )
496	05/11/2006	20:05:22	20:05:24	137	chat	IT should be...
497	05/11/2006	20:05:25	20:05:26	137	chat	shoot.
	05/11/2006		20:06:14	137	wb	[137 moved some object/s ]
498	05/11/2006	20:06:15	20:06:23	qwertyuiop	chat	or number of sides?	[1] Reference to message No. 495 (Text: that's number of squares? )
499	05/11/2006	20:06:31	20:06:37	137	chat	I screwed up somewhere....
500	05/11/2006	20:06:43	20:06:50	qwertyuiop	chat	what are you trying to find?	[1] Reference to message No. 499 (Text: I screwed up somewhere.... )
501	05/11/2006	20:07:14	20:07:19	137	chat	The number of squares.
502	05/11/2006	20:07:26	20:07:36	Jason	chat	actually... could this be figured out by using some geometric series
503	05/11/2006	20:07:39	20:08:18	Jason	chat	the fact that, when the squares are arranged in a diamond shape result in 1+3+5+3+1 total squares in the diagram to the left, remind me of pascal's triangle	[1] Reference to whiteboard (whiteboardDoc)
504	05/11/2006	20:08:28	20:08:35	Jason	chat	just a thought... not sure if it'll work
505	05/11/2006	20:07:34	20:08:35	qwertyuiop	chat	using your previous method: SideLenght^2 + (SideLength-1)^2	[1] Reference to message No. 501 (Text: The number of squares. )
	05/11/2006	20:08:45	20:08:45	qwertyuiop		[qwertyuiop has fully erased the chat message]
506	05/11/2006	20:08:46	20:08:51	qwertyuiop	chat	does that work?	[1] Reference to message No. 505 (Text: using your previous method: SideLenght^2 + (SideLength-1)^2 )
507	05/11/2006	20:09:09	20:10:06	qwertyuiop	chat	the part in front of the plus is the large, rotatewd 45 square and the part after it is the smaller, not rotated squared	[1] Reference to message No. 505 (Text: using your previous method: SideLenght^2 + (SideLength-1)^2 )
508	05/11/2006	20:10:50	20:10:59	qwertyuiop	chat	um... hello?
509	05/11/2006	20:11:02	20:11:03	137	chat	Hi.
510	05/11/2006	20:11:11	20:11:17	Jason	chat	well, looking at the center diagram with the orange boxed	[1] Reference to message No. 505 (Text: using your previous method: SideLenght^2 + (SideLength-1)^2 )
511	05/11/2006	20:11:14	20:11:18	qwertyuiop	chat	but does that work?	[1] Reference to message No. 505 (Text: using your previous method: SideLenght^2 + (SideLength-1)^2 )
512	05/11/2006	20:11:19	20:11:20	Jason	chat	boxes
513	05/11/2006	20:11:21	20:11:24	Jason	chat	you'd be 1 off
514	05/11/2006	20:11:32	20:11:41	Jason	chat	nvm, my arithmetic skills faltered ther
515	05/11/2006	20:11:42	20:11:42	Jason	chat	e
	05/11/2006		20:11:47	Jason	wb	[Jason created a rectangle ]
	05/11/2006		20:11:48	Jason	wb	[Jason created a rectangle ]
516	05/11/2006	20:11:59	20:11:59	Jason	chat	there
517	05/11/2006	20:11:53	20:12:03	qwertyuiop	chat	checking for SideLenght=3...
	05/11/2006	20:12:27	20:12:28	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/11/2006	20:12:00	20:12:31	Jason		[Jason has fully erased the chat message]
518	05/11/2006	20:12:34	20:12:35	Jason	chat	works	[1] Reference to message No. 517 (Text: checking for SideLenght=3... )
519	05/11/2006	20:12:29	20:12:36	qwertyuiop	chat	yes, it works	[1] Reference to message No. 517 (Text: checking for SideLenght=3... )
520	05/11/2006	20:12:45	20:12:52	Jason	chat	cool, so should we call this a formula
	05/11/2006	20:12:42	20:12:52	137		[137 has fully erased the chat message]
521	05/11/2006	20:12:52	20:12:57	137	chat	I don't get why though...	[1] Reference to message No. 519 (Text: yes, it works )
	05/11/2006	20:13:13	20:13:28	Jason		[Jason has fully erased the chat message]
522	05/11/2006	20:13:28	20:13:29	Jason	chat	i dont either	[1] Reference to message No. 521 (Text: I don't get why though... )
	05/11/2006		20:13:41	137	wb	[137 created a rectangle ]
	05/11/2006		20:13:44	137	wb	[137 created a rectangle ]
	05/11/2006		20:13:53	137	wb	[137 created a rectangle ]
	05/11/2006		20:13:56	137	wb	[137 created a rectangle ]
523	05/11/2006	20:13:02	20:14:10	qwertyuiop	chat	I used your previous method: take the (orange) side; that^2 gives part of the shape...	[1] Reference to message No. 521 (Text: I don't get why though... )
	05/11/2006	20:14:01	20:14:18	137		[137 has fully erased the chat message]
524	05/11/2006	20:14:12	20:15:03	qwertyuiop	chat	the rest happens to be a square with a side length of one less, therfore th "(SideLength-1)^2"	[1] Reference to message No. 523 (Text: I used your previous method: take the (orange) side; that^2 gives part of the shape... )
525	05/11/2006	20:15:06	20:15:10	qwertyuiop	chat	does that make sense?
526	05/11/2006	20:15:41	20:15:42	Jason	chat	i get it!
527	05/11/2006	20:15:42	20:15:43	Jason	chat	clever :)
528	05/11/2006	20:15:46	20:15:48	qwertyuiop	chat	137?
529	05/11/2006	20:15:50	20:15:56	137	chat	Now I do.
530	05/11/2006	20:16:17	20:16:17	Jason	chat	ok
	05/11/2006	20:16:21	20:16:26	137		[137 has fully erased the chat message]
531	05/11/2006	20:16:18	20:16:49	Jason	chat	so in the little time we have left, should we discuss the second part of this problem -- what if instead of squares you used other polygons
532	05/11/2006	20:16:59	20:17:10	qwertyuiop	chat	random thought: hypercubes
533	05/11/2006	20:16:56	20:17:19	Jason	chat	not sure if i get that question, looks to me like the # of polygons will stay the same, only the # of sticks will vary based on the polygon
534	05/11/2006	20:17:20	20:17:22	137	chat	Hm...
535	05/11/2006	20:17:23	20:17:32	137	chat	Can't figure out what that should look like.
536	05/11/2006	20:17:29	20:17:33	qwertyuiop	chat	which question?	[1] Reference to message No. 533 (Text: not sure if i get that question, looks to me like the # of polygons will stay the same, only the # of sticks will vary based on the polygon )
537	05/11/2006	20:17:34	20:17:44	137	chat	Does anyone mind If I clear the board?
538	05/11/2006	20:17:58	20:17:59	qwertyuiop	chat	no	[1] Reference to message No. 537 (Text: Does anyone mind If I clear the board? )
	05/11/2006		20:18:10	137	wb	[137 moved some object/s ]
539	05/11/2006	20:18:11	20:18:12	Jason	chat	go ahead
	05/11/2006		20:18:12	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:14	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:15	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:17	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:18	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:20	137	wb	[137 resized some objects ]
	05/11/2006		20:18:22	137	wb	[137 moved some object/s ]
540	05/11/2006	20:18:19	20:18:31	qwertyuiop	chat	can i paste pictures onto the board?
	05/11/2006		20:18:34	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:41	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:42	137	wb	[137 moved some object/s ]
	05/11/2006	20:18:42	20:18:43	jsarmi		[jsarmi has fully erased the chat message]
	05/11/2006		20:18:45	137	wb	[137 moved some object/s ]
541	05/11/2006	20:18:44	20:18:46	jsarmi	chat	yep	[1] Reference to message No. 540 (Text: can i paste pictures onto the board? )
542	05/11/2006	20:18:47	20:18:48	137	chat	Yeah.
	05/11/2006		20:18:51	137	wb	[137 moved some object/s ]
	05/11/2006		20:18:53	137	wb	[137 resized some objects ]
	05/11/2006		20:18:55	qwertyuiop	wb	[qwertyuiop created a image ]
543	05/11/2006	20:18:59	20:19:07	qwertyuiop	chat	that's a hyper cube
544	05/11/2006	20:19:10	20:19:12	Jason	chat	woah
545	05/11/2006	20:19:12	20:19:15	Jason	chat	where'd that come from
546	05/11/2006	20:19:16	20:19:18	137	chat	Wow.
547	05/11/2006	20:19:16	20:19:25	qwertyuiop	chat	4 dimensional cube
548	05/11/2006	20:19:26	20:19:32	qwertyuiop	chat	from wikipedia
	05/11/2006		20:19:45	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:46	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:48	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:51	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:52	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:54	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:56	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:57	137	wb	[137 moved some object/s ]
	05/11/2006		20:19:59	137	wb	[137 moved some object/s ]
	05/11/2006		20:20:01	137	wb	[137 moved some object/s ]
549	05/11/2006	20:19:47	20:20:02	Jason	chat	well maybe i'll understand this more if we dealt with 3-d cubes first
	05/11/2006		20:20:03	137	wb	[137 moved some object/s ]
	05/11/2006	20:20:03	20:20:04	Jason		[Jason has fully erased the chat message]
550	05/11/2006	20:19:44	20:20:07	qwertyuiop	chat	it can be seen as being made from 8 3D cubes
	05/11/2006		20:20:22	137	wb	[137 created a rectangle ]
551	05/11/2006	20:20:22	20:20:22	Jason	chat	ok
	05/11/2006		20:20:25	137	wb	[137 created a rectangle ]
	05/11/2006		20:20:28	137	wb	[137 created a rectangle ]
	05/11/2006		20:20:31	137	wb	[137 created a rectangle ]
	05/11/2006		20:20:35	137	wb	[137 created a rectangle ]
	05/11/2006		20:20:38	137	wb	[137 moved some object/s ]
	05/11/2006		20:20:43	137	wb	[137 created a line ]
	05/11/2006		20:20:45	137	wb	[137 created a line ]
	05/11/2006		20:20:47	137	wb	[137 created a line ]
	05/11/2006		20:20:49	137	wb	[137 created a line ]
	05/11/2006		20:20:51	137	wb	[137 created a line ]
	05/11/2006		20:20:54	137	wb	[137 created a line ]
	05/11/2006		20:20:55	137	wb	[137 created a line ]
	05/11/2006		20:20:57	137	wb	[137 created a line ]
	05/11/2006		20:21:00	137	wb	[137 created a line ]
	05/11/2006		20:21:02	137	wb	[137 created a line ]
	05/11/2006		20:21:05	137	wb	[137 created a line ]
	05/11/2006		20:21:07	137	wb	[137 created a line ]
	05/11/2006		20:21:09	137	wb	[137 created a line ]
	05/11/2006		20:21:10	137	wb	[137 created a line ]
	05/11/2006		20:21:12	137	wb	[137 created a line ]
	05/11/2006		20:21:15	137	wb	[137 created a line ]
	05/11/2006	20:21:17	20:21:18	137		[137 has fully erased the chat message]
552	05/11/2006	20:21:19	20:21:19	137	chat	?	[1] Reference to message No. 550 (Text: it can be seen as being made from 8 3D cubes )
	05/11/2006		20:21:24	137	wb	[137 created a line ]
	05/11/2006		20:21:33	137	wb	[137 resized some objects ]
553	05/11/2006	20:21:36	20:21:52	qwertyuiop	chat	is that going to be a prism of the first problem?
	05/11/2006	20:22:06	20:22:10	qwertyuiop		[qwertyuiop has fully erased the chat message]
554	05/11/2006	20:22:12	20:22:40	qwertyuiop	chat	to make it more 3D, you could continue the pattern along the new dimension
555	05/11/2006	20:22:46	20:22:57	qwertyuiop	chat	not sure how you would draw that...
	05/11/2006	20:23:08	20:23:23	Jason		[Jason has fully erased the chat message]
556	05/11/2006	20:23:33	20:23:38	Jason	chat	well going back to our session problems
557	05/11/2006	20:23:38	20:23:38	Jason	chat	What are the different methods (induction, series, recursion, graphing, tables, etc.) you can use to analye these different patterns?
558	05/11/2006	20:23:45	20:23:57	Jason	chat	i'd say series (recursive or explicit) for many of them
559	05/11/2006	20:24:46	20:24:49	Jason	chat	anyone else?
560	05/11/2006	20:24:57	20:24:59	qwertyuiop	chat	induction?
561	05/11/2006	20:25:57	20:25:58	Jason	chat	what's that
562	05/11/2006	20:24:59	20:26:13	Cynthia	chat	so i'm wondering if this is a good time to figure out the information that you are going to post to the wiki?
	05/11/2006	20:26:12	20:26:19	qwertyuiop		[qwertyuiop has fully erased the chat message]
563	05/11/2006	20:26:29	20:26:30	Jason	chat	hmm
564	05/11/2006	20:26:24	20:26:30	qwertyuiop	chat	the equations...
565	05/11/2006	20:26:30	20:26:55	Jason	chat	well im not sure if we formulated too many questions to post, but i guess yeah we can write up our formulas and how we got them
566	05/11/2006	20:27:35	20:28:25	qwertyuiop	chat	there are 4, I think: number of squares and number of sides for both diamonds and the first problem
567	05/11/2006	20:28:46	20:28:47	Jason	chat	alright
	05/11/2006	20:28:48	20:28:48	Jason		[Jason has fully erased the chat message]
568	05/11/2006	20:28:49	20:29:05	Jason	chat	last time we designated one person to write up the wiki... do you guys want to do that again or should we all assign each other some part to write
569	05/11/2006	20:29:27	20:29:35	qwertyuiop	chat	we could just do it here
	05/11/2006	20:29:44	20:29:46	Jason		[Jason has fully erased the chat message]
570	05/11/2006	20:29:46	20:29:47	Jason	chat	do what here
	05/11/2006	20:29:48	20:29:56	qwertyuiop		[qwertyuiop has fully erased the chat message]
571	05/11/2006	20:29:57	20:29:59	qwertyuiop	chat	write it
572	05/11/2006	20:30:01	20:30:14	qwertyuiop	chat	i can't get the typing thing to work in the board
573	05/11/2006	20:30:13	20:30:18	Jason	chat	well it'll need to appear on the wiki someday
574	05/11/2006	20:30:26	20:30:35	Jason	chat	yeah i guess we could write up the text here and someone can paste it into the wiki
575	05/11/2006	20:30:25	20:30:43	qwertyuiop	chat	yes, we will put it on the wiki but write it here
576	05/11/2006	20:30:52	20:30:52	Jason	chat	:-)
577	05/11/2006	20:30:50	20:30:59	137	chat	You can't copy from here and then paste it there
578	05/11/2006	20:30:44	20:30:59	jsarmi	chat	textboxes don't work for you qwerty?	[1] Reference to message No. 572 (Text: i can't get the typing thing to work in the board )
	05/11/2006		20:31:07	jsarmi	START:TextEditing
579	05/11/2006	20:31:15	20:31:17	qwertyuiop	chat	no	[1] Reference to message No. 578 (Text: textboxes don't work for you qwerty? )
	05/11/2006		20:31:20	jsarmi	END:TextEditing
	05/11/2006		20:31:21	jsarmi	wb	[jsarmi created a textbox ]
580	05/11/2006	20:31:29	20:31:33	jsarmi	chat	try this one	[1] Reference to message No. 579 (Text: no )[2] Reference to whiteboard (whiteboardDoc)
	05/11/2006		20:31:43	137	START:TextEditing
	05/11/2006		20:31:44	137	END:TextEditing
	05/11/2006		20:31:51	137	START:TextEditing
581	05/11/2006	20:31:30	20:31:52	qwertyuiop	chat	i can't select the text button at the top
	05/11/2006		20:32:00	137	END:TextEditing
	05/11/2006		20:32:00	137	wb	[137 created a textbox ]
	05/11/2006		20:32:01	137	wb	[137 moved some object/s ]
	05/11/2006		20:32:06	137	wb	[137 moved some object/s ]
	05/11/2006		20:32:07	137	wb	[137 moved some object/s ]
	05/11/2006		20:32:34	Jason	wb	[Jason created a image ]
	05/11/2006		20:32:36	Jason	wb	[Jason moved some object/s ]
	05/11/2006		20:32:37	Jason	wb	[Jason moved some object/s ]
	05/11/2006		20:32:40	Jason	wb	[Jason moved some object/s ]
582	05/11/2006	20:32:21	20:32:41	jsarmi	chat	no luck? When you double click on it, it should let you type on it	[1] Reference to message No. 579 (Text: no )
	05/11/2006	20:32:45	20:32:46	Jason		[Jason has fully erased the chat message]
583	05/11/2006	20:32:46	20:32:48	Jason	chat	this one right here?	[1] Reference to whiteboard (whiteboardDoc)
	05/11/2006		20:32:53	qwertyuiop	START:TextEditing
	05/11/2006		20:32:53	qwertyuiop	END:TextEditing
	05/11/2006		20:32:56	qwertyuiop	START:TextEditing
	05/11/2006		20:32:59	qwertyuiop	END:TextEditing
	05/11/2006		20:33:03	Jason	START:TextEditing
	05/11/2006		20:33:04	qwertyuiop	START:TextEditing
	05/11/2006		20:33:05	qwertyuiop	END:TextEditing
	05/11/2006		20:33:07	qwertyuiop	START:TextEditing
	05/11/2006		20:33:08	qwertyuiop	END:TextEditing
584	05/11/2006	20:32:56	20:33:12	Jason	chat	click it once, make a square somewhere on the board, and then start tying
585	05/11/2006	20:33:12	20:33:13	Jason	chat	typing*
586	05/11/2006	20:32:56	20:33:13	jsarmi	chat	how about editing a texbox that is already there, like this one	[1] Reference to whiteboard ()
	05/11/2006		20:33:20	Jason	END:TextEditing
	05/11/2006		20:33:22	Jason	START:TextEditing
587	05/11/2006	20:33:21	20:33:31	qwertyuiop	chat	now i can make one but not edit one...
588	05/11/2006	20:33:27	20:33:31	Jason	chat	(double-click that one)
	05/11/2006		20:33:35	qwertyuiop	START:TextEditing
	05/11/2006		20:33:35	qwertyuiop	END:TextEditing
	05/11/2006		20:33:36	qwertyuiop	START:TextEditing
589	05/11/2006	20:33:26	20:33:37	jsarmi	chat	this could be because you are back in the history of the whiteboard	[1] Reference to message No. 581 (Text: i can't select the text button at the top )
	05/11/2006		20:33:44	qwertyuiop	END:TextEditing
	05/11/2006		20:33:46	qwertyuiop	START:TextEditing
	05/11/2006		20:33:47	qwertyuiop	END:TextEditing
590	05/11/2006	20:33:46	20:33:48	jsarmi	chat	strange	[1] Reference to message No. 587 (Text: now i can make one but not edit one... )
	05/11/2006		20:33:52	Jason	END:TextEditing
591	05/11/2006	20:33:50	20:33:59	qwertyuiop	chat	yes, now it works. thanks
592	05/11/2006	20:34:03	20:34:04	jsarmi	chat	great	[1] Reference to message No. 591 (Text: yes, now it works. thanks )
	05/11/2006	20:34:18	20:34:18	Jason		[Jason has fully erased the chat message]
593	05/11/2006	20:34:19	20:34:20	Jason	chat	woohoo
	05/11/2006		20:34:25	qwertyuiop	START:TextEditing
	05/11/2006		20:34:28	qwertyuiop	END:TextEditing
594	05/11/2006	20:34:28	20:34:29	jsarmi	chat	:-)
595	05/11/2006	20:34:25	20:34:30	Jason	chat	should we all contribute something
	05/11/2006		20:34:31	qwertyuiop	START:TextEditing
596	05/11/2006	20:34:32	20:34:34	Jason	chat	to the wiki
597	05/11/2006	20:34:39	20:34:56	Jason	chat	like, should one person write about the formulas for the original problem and someone else write about the diamond one
598	05/11/2006	20:34:47	20:35:00	137	chat	We will all contribute our ideas.
	05/11/2006		20:35:09	qwertyuiop	END:TextEditing
	05/11/2006		20:35:09	qwertyuiop	wb	[qwertyuiop changed the text to: N(N+3) n(n-1)/2 ]
599	05/11/2006	20:35:22	20:35:22	Jason	chat	ok
600	05/11/2006	20:35:15	20:35:37	qwertyuiop	chat	those are the first 2...
	05/11/2006		20:35:42	qwertyuiop	START:TextEditing
601	05/11/2006	20:36:10	20:36:10	Jason	chat	alright
	05/11/2006		20:36:17	qwertyuiop	END:TextEditing
	05/11/2006		20:36:17	qwertyuiop	wb	[qwertyuiop changed the text to: sides: N(N+3) diamond: squares: n(n-1)/2 diamond: ]
602	05/11/2006	20:36:11	20:36:26	Jason	chat	should i write about those? i'd like to if no one else wants to
603	05/11/2006	20:36:19	20:36:27	qwertyuiop	chat	what were the diamond equations?
604	05/11/2006	20:36:37	20:36:38	qwertyuiop	chat	sure	[1] Reference to message No. 602 (Text: should i write about those? i'd like to if no one else wants to )
605	05/11/2006	20:36:42	20:36:43	Jason	chat	great
606	05/11/2006	20:36:43	20:36:53	Jason	chat	i'll start a new text box and we can post to the wiki after i finish
607	05/11/2006	20:36:53	20:37:06	Jason	chat	i'll need to go soon btw... im kinda getting hungry :-)
608	05/11/2006	20:37:04	20:37:11	137	chat	one was n^2(n-1)^2
	05/11/2006		20:37:12	Jason	START:TextEditing
609	05/11/2006	20:37:17	20:37:18	137	chat	Oops.
610	05/11/2006	20:37:22	20:37:22	qwertyuiop	chat	+
611	05/11/2006	20:37:20	20:37:30	137	chat	n^2 + (n-1)^2
612	05/11/2006	20:37:23	20:37:31	Jason	chat	it appears that what we wrote to the wiki last time got deleted
	05/11/2006	20:37:36	20:37:37	137		[137 has fully erased the chat message]
	05/11/2006		20:37:41	qwertyuiop	START:TextEditing
613	05/11/2006	20:37:39	20:37:42	137	chat	No, wrong page
	05/11/2006		20:37:59	qwertyuiop	END:TextEditing
	05/11/2006		20:37:59	qwertyuiop	wb	[qwertyuiop changed the text to: sides: N(N+3) diamond: squares: n(n-1)/2 diamond: n^2+(n-1)^2 ]
614	05/11/2006	20:37:59	20:38:00	Jason	chat	o
615	05/11/2006	20:38:03	20:38:10	Jason	chat	i guess we were the only ones posting last time
616	05/11/2006	20:38:10	20:38:18	Jason	chat	so i guess the only thing we really need to post is the diamonds problem
617	05/11/2006	20:38:30	20:38:47	qwertyuiop	chat	what was the equation for the number of squares in a diamond?
618	05/11/2006	20:38:52	20:38:54	Jason	chat	lemme see if i can find it
	05/11/2006		20:38:55	Jason	END:TextEditing
	05/11/2006		20:38:55	Jason	wb	[Jason created a textbox ]
	05/11/2006		20:38:56	Jason	wb	[Jason deleted some object/s ]
	05/11/2006		20:38:58	Jason	wb	[Jason deleted some object/s ]
619	05/11/2006	20:39:48	20:39:55	Jason	chat	sidelength^2 + (sidelength-1)^2	[1] Reference to message No. 505 (Text: using your previous method: SideLenght^2 + (SideLength-1)^2 )
620	05/11/2006	20:39:55	20:39:55	Jason	chat	i think
	05/11/2006		20:40:25	qwertyuiop	START:TextEditing
621	05/11/2006	20:40:35	20:40:37	137	chat	Ya, it is.	[1] Reference to message No. 620 (Text: i think )
	05/11/2006		20:40:43	qwertyuiop	END:TextEditing
622	05/11/2006	20:40:43	20:40:43	Jason	chat	great
	05/11/2006		20:40:49	137	wb	[137 resized some objects ]
	05/11/2006	20:40:52	20:41:00	qwertyuiop		[qwertyuiop has fully erased the chat message]
623	05/11/2006	20:40:52	20:41:01	Jason	chat	here, i'll start making a diagram for the problem for the wiki
624	05/11/2006	20:41:03	20:41:12	qwertyuiop	chat	that's for squares?	[1] Reference to message No. 619 (Text: sidelength^2 + (sidelength-1)^2 )
	05/11/2006	20:41:05	20:41:15	Jason		[Jason has fully erased the chat message]
625	05/11/2006	20:41:16	20:41:17	137	chat	Yes.
626	05/11/2006	20:41:19	20:41:22	Jason	chat	for the diamonds i thought...
627	05/11/2006	20:41:23	20:41:35	qwertyuiop	chat	oops. I ment sides. I'll look for it.	[1] Reference to message No. 617 (Text: what was the equation for the number of squares in a diamond? )
628	05/11/2006	20:41:31	20:41:38	137	chat	FOr the number of squares in a diamond formation.	[1] Reference to message No. 626 (Text: for the diamonds i thought... )
629	05/11/2006	20:41:43	20:41:43	Jason	chat	yeah	[1] Reference to message No. 628 (Text: FOr the number of squares in a diamond formation. )
630	05/11/2006	20:43:21	20:43:25	qwertyuiop	chat	is this it?	[1] Reference to message No. 478 (Text: i think NumberOfSides=NumberOfSquares*2+SideLength*3-2 )
631	05/11/2006	20:43:41	20:43:41	Jason	chat	yes
	05/11/2006		20:43:55	qwertyuiop	START:TextEditing
	05/11/2006	20:44:25	20:44:28	137		[137 has fully erased the chat message]
	05/11/2006		20:44:30	qwertyuiop	END:TextEditing
	05/11/2006		20:44:30	qwertyuiop	wb	[qwertyuiop changed the text to: sides: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 squares: n(n-1)/2 diamond: n^2+(n-1)^2 ]
632	05/11/2006	20:44:33	20:44:51	137	chat	Sorry, but I have to go now... Have a class soon.
633	05/11/2006	20:45:08	20:45:08	Jason	chat	cya
634	05/11/2006	20:45:02	20:45:11	jsarmi	chat	Next session is next Tuesday, same time 137
635	05/11/2006	20:45:13	20:45:15	137	chat	Right.
636	05/11/2006		20:45:19	137	leaves	leaves the room
637	05/11/2006	20:45:23	20:45:34	jsarmi	chat	Are you guys ok writing your notes on the Wiki?
638	05/11/2006	20:45:40	20:45:45	qwertyuiop	chat	where's the wiki?
	05/11/2006	20:45:42	20:45:45	Jason		[Jason has fully erased the chat message]
639	05/11/2006	20:45:50	20:45:50	Jason	chat	http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas
640	05/11/2006	20:45:51	20:45:56	Jason	chat	there's a link under "view topic"
641	05/11/2006	20:46:03	20:46:23	jsarmi	chat	to copy this URL use th Alt key when highlighting the text and then do copy	[1] Reference to message No. 639 (Text: http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas )
642	05/11/2006	20:46:23	20:46:27	qwertyuiop	chat	going there..	[1] Reference to message No. 639 (Text: http://mathforum.org/wiki/VMTStudents/VMTStudents?OtherSticksProblemIdeas )
643	05/11/2006	20:47:04	20:47:18	qwertyuiop	chat	can't seem to copy it. i'll just type it.	[1] Reference to message No. 642 (Text: going there.. )
644	05/11/2006	20:47:32	20:47:34	Jason	chat	or just follow the link
645	05/11/2006	20:47:37	20:47:49	Jason	chat	anyhow, i got a diagram of the diamonds thing at http://mathforum.org/wikis/uploads/diamonds.PNG
646	05/11/2006	20:48:36	20:49:18	Jason	chat	qwertyuiop if you start the wiki writeup it would be appreciated... i have to go now but i can edit/contribute to our writeup later	[1] Reference to message No. 645 (Text: anyhow, i got a diagram of the diamonds thing at http://mathforum.org/wikis/uploads/diamonds.PNG )
647	05/11/2006	20:49:19	20:49:22	Jason	chat	i'll stay logged into this thing
648	05/11/2006	20:49:25	20:49:29	Jason	chat	goodbye for now..
649	05/11/2006	20:49:37	20:49:42	jsarmi	chat	See you next week, Jason
	05/11/2006	20:50:01	20:50:01	qwertyuiop		[qwertyuiop has fully erased the chat message]
650	05/11/2006	20:50:04	20:50:06	Cynthia	chat	bye jason
651	05/11/2006	20:50:01	20:50:11	qwertyuiop	chat	who's putting it on the wiki?	[1] Reference to message No. 645 (Text: anyhow, i got a diagram of the diamonds thing at http://mathforum.org/wikis/uploads/diamonds.PNG )
	05/11/2006	20:50:34	20:50:38	jsarmi		[jsarmi has fully erased the chat message]
652	05/11/2006	20:50:41	20:51:13	jsarmi	chat	You could write as much as you can now, and Jason will complete it later. Is that ok?	[1] Reference to message No. 651 (Text: who's putting it on the wiki? )
653	05/11/2006	20:51:19	20:51:20	qwertyuiop	chat	ok
	05/11/2006		20:51:22	qwertyuiop	START:TextEditing
654	05/11/2006	20:51:27	20:51:29	qwertyuiop	chat	bye
655	05/11/2006	20:51:26	20:51:38	jsarmi	chat	Great...see you next week on Tuesday!
656	05/11/2006	20:51:40	20:51:51	jsarmi	chat	Thanks for attending today!
	05/11/2006		20:51:56	qwertyuiop	END:TextEditing
657	05/11/2006		20:51:56	qwertyuiop	leaves	leaves the room
658	05/11/2006		20:52:01	jsarmi	leaves	leaves the room
659	05/11/2006	20:53:37	20:53:43	Cynthia	chat	Bye everyone. Thanks
660	05/11/2006		20:53:46	Cynthia	leaves	leaves the room
661	05/11/2006		21:17:33	Jason	leaves	leaves the room
662	05/16/2006		16:08:08	jsarmi	joins	joins the room
663	05/16/2006		17:20:42	nan	joins	joins the room
	05/16/2006		17:28:27	nan	wb	[nan moved some object/s ]
	05/16/2006		17:56:20	jsarmi	START:TextEditing
	05/16/2006		17:56:42	jsarmi	END:TextEditing
	05/16/2006		17:56:42	jsarmi	wb	[jsarmi created a textbox ]
	05/16/2006		17:56:47	jsarmi	wb	[jsarmi moved some object/s ]
	05/16/2006		17:56:51	jsarmi	wb	[jsarmi resized some objects ]
	05/16/2006		17:56:54	jsarmi	wb	[jsarmi moved some object/s ]
	05/16/2006		17:57:07	jsarmi	wb	[jsarmi changed layout ]
664	05/16/2006		17:57:15	jsarmi	leaves	leaves the room
665	05/16/2006		19:01:25	Jason	joins	joins the room
666	05/16/2006		19:02:22	137	joins	joins the room
667	05/16/2006	19:02:30	19:02:37	nan	chat	hi Jason and 137, welcome back
668	05/16/2006	19:02:49	19:02:49	Jason	chat	hi
669	05/16/2006	19:03:05	19:03:06	137	chat	Hi.
670	05/16/2006	19:02:56	19:03:09	nan	chat	i'll be your facilitator tonight
671	05/16/2006	19:02:51	19:03:13	Jason	chat	it looks like ssjnish is having connection problems again, even after i pointed him to an email on how to clear his Java cache
	05/16/2006		19:03:34	137	wb	[137 moved some object/s ]
672	05/16/2006		19:03:45	qwertyuiop	joins	joins the room
	05/16/2006		19:04:04	137	wb	[137 moved some object/s ]
	05/16/2006		19:04:07	137	wb	[137 moved some object/s ]
	05/16/2006		19:04:09	137	wb	[137 moved some object/s ]
673	05/16/2006	19:04:07	19:04:13	nan	chat	hi qwertyuiop
	05/16/2006		19:04:14	137	wb	[137 moved some object/s ]
	05/16/2006		19:04:17	137	wb	[137 moved some object/s ]
674	05/16/2006	19:04:23	19:04:23	qwertyuiop	chat	hi
675	05/16/2006	19:04:24	19:04:36	nan	chat	do any of you know if david is coming?
676	05/16/2006	19:04:33	19:04:41	137	chat	So we do what we did last time again?
677	05/16/2006	19:04:46	19:04:47	nan	chat	yes	[1] Reference to message No. 676 (Text: So we do what we did last time again? )
678	05/16/2006	19:04:42	19:04:52	137	chat	I forgot to ask David at school.	[1] Reference to message No. 675 (Text: do any of you know if david is coming? )
679	05/16/2006	19:04:59	19:05:04	137	chat	I don't think he'd remember.
680	05/16/2006	19:04:48	19:05:11	nan	chat	first take a few minutes to read the feedback posted on the whiteboard
681	05/16/2006	19:05:19	19:05:21	nan	chat	no problem	[1] Reference to message No. 678 (Text: I forgot to ask David at school. )
682	05/16/2006	19:05:23	19:05:27	nan	chat	i guess we can start
	05/16/2006	19:05:29	19:05:38	nan		[nan has fully erased the chat message]
683	05/16/2006	19:05:38	19:05:48	nan	chat	david can join later when he comes
684	05/16/2006	19:05:53	19:05:54	137	chat	Right.
	05/16/2006	19:05:55	19:05:58	137		[137 has fully erased the chat message]
	05/16/2006		19:06:11	137	wb	[137 moved some object/s ]
	05/16/2006		19:06:19	137	wb	[137 resized some objects ]
	05/16/2006		19:06:34	137	wb	[137 resized some objects ]
685	05/16/2006	19:06:19	19:06:34	qwertyuiop	chat	has everyone read the green text box?
	05/16/2006		19:06:37	137	wb	[137 resized some objects ]
	05/16/2006		19:06:39	137	wb	[137 resized some objects ]
686	05/16/2006	19:06:43	19:06:44	Jason	chat	one sec
687	05/16/2006	19:06:43	19:06:45	137	chat	Yes...
	05/16/2006		19:06:50	137	wb	[137 resized some objects ]
	05/16/2006		19:06:56	137	wb	[137 resized some objects ]
688	05/16/2006	19:07:00	19:07:01	Jason	chat	alright im done
689	05/16/2006	19:06:27	19:07:02	nan	chat	did you see some little squares aftermessage? i haven't seen thoese before, interesting
690	05/16/2006	19:07:10	19:07:11	qwertyuiop	chat	yes
691	05/16/2006	19:07:07	19:07:12	Jason	chat	yeah, they just indicate whiteboard activity
692	05/16/2006	19:07:31	19:07:32	137	chat	Oh.
693	05/16/2006	19:07:22	19:07:40	nan	chat	i see. i was on a leave for two weeks and this version is the latest	[1] Reference to message No. 691 (Text: yeah, they just indicate whiteboard activity )
	05/16/2006		19:07:52	137	wb	[137 resized some objects ]
	05/16/2006		19:07:56	137	wb	[137 resized some objects ]
	05/16/2006		19:07:59	137	wb	[137 resized some objects ]
	05/16/2006		19:08:06	137	wb	[137 resized some objects ]
	05/16/2006		19:08:15	137	wb	[137 moved some object/s ]
	05/16/2006		19:08:24	137	wb	[137 moved some object/s ]
	05/16/2006		19:08:32	137	wb	[137 moved some object/s ]
	05/16/2006		19:08:33	137	wb	[137 moved some object/s ]
	05/16/2006		19:08:47	137	wb	[137 created a line ]
	05/16/2006		19:08:49	137	wb	[137 created a line ]
	05/16/2006		19:08:52	137	wb	[137 created a line ]
	05/16/2006		19:08:54	137	wb	[137 created a line ]
	05/16/2006		19:08:56	137	wb	[137 created a line ]
	05/16/2006		19:09:00	137	wb	[137 created a line ]
	05/16/2006		19:09:03	137	wb	[137 created a line ]
	05/16/2006		19:09:07	137	wb	[137 created a line ]
	05/16/2006		19:09:18	137	wb	[137 created a line ]
	05/16/2006		19:09:20	137	wb	[137 created a line ]
	05/16/2006		19:09:23	137	wb	[137 created a line ]
	05/16/2006		19:09:29	137	wb	[137 created a line ]
	05/16/2006		19:09:37	137	wb	[137 created a line ]
	05/16/2006		19:09:42	137	wb	[137 resized some objects ]
	05/16/2006		19:09:49	137	wb	[137 created a line ]
	05/16/2006		19:09:53	137	wb	[137 resized some objects ]
	05/16/2006		19:09:57	137	wb	[137 resized some objects ]
	05/16/2006		19:09:59	137	wb	[137 resized some objects ]
	05/16/2006		19:10:03	137	wb	[137 resized some objects ]
	05/16/2006		19:10:09	137	wb	[137 resized some objects ]
	05/16/2006		19:10:16	137	wb	[137 resized some objects ]
	05/16/2006		19:10:19	137	wb	[137 moved some object/s ]
	05/16/2006		19:10:23	137	wb	[137 resized some objects ]
	05/16/2006		19:10:26	137	wb	[137 resized some objects ]
	05/16/2006	19:10:20	19:10:27	nan		[nan has fully erased the chat message]
	05/16/2006		19:10:32	137	wb	[137 created a line ]
	05/16/2006		19:10:35	137	wb	[137 created a line ]
	05/16/2006		19:10:39	137	wb	[137 created a line ]
	05/16/2006		19:10:42	137	wb	[137 created a line ]
	05/16/2006		19:10:45	137	wb	[137 created a line ]
	05/16/2006		19:10:57	137	wb	[137 created a line ]
	05/16/2006		19:11:00	137	wb	[137 created a line ]
694	05/16/2006	19:11:02	19:11:16	137	chat	Great. Can anyone m ake a diagram of a bunch of triangles?
	05/16/2006	19:11:17	19:11:20	137		[137 has fully erased the chat message]
	05/16/2006		19:11:21	137	wb	[137 created a line ]
	05/16/2006		19:11:22	137	wb	[137 created a line ]
	05/16/2006		19:11:23	137	wb	[137 created a line ]
	05/16/2006		19:11:26	137	wb	[137 created a rectangle ]
	05/16/2006		19:11:30	137	wb	[137 created a rectangle ]
	05/16/2006		19:11:36	137	wb	[137 moved some object/s ]
	05/16/2006		19:11:38	137	wb	[137 moved some object/s ]
	05/16/2006	19:11:36	19:11:42	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006	19:11:45	19:11:46	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		19:11:49	137	wb	[137 moved some object/s ]
695	05/16/2006	19:11:47	19:11:51	qwertyuiop	chat	just a grid?
	05/16/2006		19:11:54	137	wb	[137 moved some object/s ]
	05/16/2006		19:11:57	137	wb	[137 moved some object/s ]
	05/16/2006		19:11:59	137	wb	[137 moved some object/s ]
	05/16/2006		19:12:01	137	wb	[137 moved some object/s ]
696	05/16/2006	19:12:04	19:12:07	137	chat	Yeah...
	05/16/2006		19:12:14	137	wb	[137 moved some object/s ]
697	05/16/2006	19:12:14	19:12:17	qwertyuiop	chat	ok...
	05/16/2006		19:12:19	137	wb	[137 moved some object/s ]
	05/16/2006		19:12:23	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:12:27	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:12:32	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:12:37	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:12:40	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:12:42	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:12:44	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:12:54	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:12:59	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:03	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:08	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:13	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:19	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:23	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:13:31	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:36	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:42	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:51	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:13:55	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:14:00	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:14:07	qwertyuiop	wb	[qwertyuiop created a line ]
698	05/16/2006	19:13:40	19:14:09	nan	chat	so what's up now? does everyone know what other people are doing?
	05/16/2006		19:14:12	qwertyuiop	wb	[qwertyuiop created a line ]
699	05/16/2006	19:14:23	19:14:25	137	chat	Yes?
700	05/16/2006	19:14:18	19:14:25	qwertyuiop	chat	no-just making triangles
	05/16/2006		19:14:32	qwertyuiop	wb	[qwertyuiop created a line ]
701	05/16/2006	19:14:31	19:14:33	137	chat	I think...	[1] Reference to message No. 699 (Text: Yes? )
702	05/16/2006	19:14:32	19:14:34	Jason	chat	yeah
	05/16/2006		19:14:36	qwertyuiop	wb	[qwertyuiop created a line ]
703	05/16/2006	19:14:44	19:14:46	nan	chat	good:-)	[1] Reference to message No. 701 (Text: I think... )
704	05/16/2006	19:14:45	19:14:51	qwertyuiop	chat	triangles are done
705	05/16/2006	19:14:46	19:15:08	137	chat	So do you want to first calculate the number of triangles in a hexagonal array?
	05/16/2006	19:15:02	19:15:20	nan		[nan has fully erased the chat message]
706	05/16/2006	19:15:22	19:15:45	qwertyuiop	chat	What's the shape of the array? a hexagon?	[1] Reference to message No. 705 (Text: So do you want to first calculate the number of triangles in a hexagonal array? )
	05/16/2006		19:15:47	137	wb	[137 locked some object/s ]
	05/16/2006	19:15:52	19:15:57	137		[137 has fully erased the chat message]
	05/16/2006	19:15:54	19:16:02	Jason		[Jason has fully erased the chat message]
707	05/16/2006	19:16:00	19:16:02	137	chat	Ya.	[1] Reference to message No. 706 (Text: What's the shape of the array? a hexagon? )
	05/16/2006		19:16:09	137	wb	[137 created a line ]
	05/16/2006		19:16:13	137	wb	[137 created a line ]
708	05/16/2006	19:16:13	19:16:15	qwertyuiop	chat	ok...
	05/16/2006		19:16:18	137	wb	[137 created a rectangle ]
	05/16/2006		19:16:25	137	wb	[137 created a rectangle ]
	05/16/2006		19:16:31	137	wb	[137 moved some object/s ]
	05/16/2006		19:16:32	137	wb	[137 moved some object/s ]
	05/16/2006		19:16:34	137	wb	[137 moved some object/s ]
	05/16/2006		19:16:35	137	wb	[137 moved some object/s ]
709	05/16/2006	19:16:20	19:16:41	Jason	chat	wait-- can someone highlight the hexagonal array on the diagram? i don't really see what you mean...
	05/16/2006		19:16:45	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:16:46	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:16:49	137	wb	[137 created a line ]
	05/16/2006		19:16:52	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:16:52	137	wb	[137 created a line ]
	05/16/2006		19:16:55	137	wb	[137 created a line ]
	05/16/2006		19:17:00	137	wb	[137 created a line ]
	05/16/2006		19:17:03	137	wb	[137 created a line ]
	05/16/2006		19:17:11	137	wb	[137 created a line ]
	05/16/2006		19:17:13	qwertyuiop	wb	[qwertyuiop created a rectangle ]
	05/16/2006		19:17:15	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/16/2006		19:17:16	137	wb	[137 created a line ]
	05/16/2006		19:17:19	137	wb	[137 created a line ]
	05/16/2006		19:17:19	qwertyuiop	wb	[qwertyuiop created a rectangle ]
	05/16/2006		19:17:19	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/16/2006		19:17:20	137	wb	[137 created a line ]
	05/16/2006		19:17:20	137	wb	[137 created a line ]
	05/16/2006		19:17:28	137	wb	[137 moved some object/s ]
710	05/16/2006	19:17:28	19:17:30	Jason	chat	hmm.. okay
	05/16/2006		19:17:32	137	wb	[137 resized some objects ]
	05/16/2006		19:17:38	137	wb	[137 moved some object/s ]
711	05/16/2006	19:17:42	19:17:43	qwertyuiop	chat	oops	[1] Reference to whiteboard (LineStuff-1147821408921-30900751)
712	05/16/2006	19:17:35	19:17:44	Jason	chat	so it has at least 6 triangles?
	05/16/2006		19:17:47	137	wb	[137 moved some object/s ]
713	05/16/2006	19:17:55	19:17:58	Jason	chat	in this, for instance	[1] Reference to whiteboard (LineStuff-1147821414515-17996170)
	05/16/2006		19:18:03	137	wb	[137 created a line ]
	05/16/2006		19:18:05	137	wb	[137 created a line ]
	05/16/2006		19:18:12	137	wb	[137 created a line ]
	05/16/2006		19:18:17	137	wb	[137 created a line ]
714	05/16/2006	19:18:48	19:18:53	137	chat	How do you color lines?
	05/16/2006		19:19:01	137	wb	[137 changed layout ]
715	05/16/2006	19:18:58	19:19:06	Jason	chat	there's a little paintbrush icon up at the top
	05/16/2006		19:19:07	137	wb	[137 changed layout ]
716	05/16/2006	19:19:06	19:19:12	Jason	chat	it's the fifth one from the right
	05/16/2006		19:19:13	137	wb	[137 changed layout ]
	05/16/2006		19:19:18	137	wb	[137 changed layout ]
717	05/16/2006	19:19:19	19:19:20	137	chat	Thanks.
718	05/16/2006	19:19:18	19:19:21	Jason	chat	there ya go :-)
	05/16/2006		19:19:25	137	wb	[137 changed layout ]
	05/16/2006		19:19:28	137	wb	[137 changed layout ]
	05/16/2006		19:19:31	137	wb	[137 changed layout ]
	05/16/2006		19:19:40	137	wb	[137 changed layout ]
719	05/16/2006	19:19:44	19:19:48	137	chat	Er... That hexagon.
	05/16/2006	19:19:38	19:19:49	Jason		[Jason has fully erased the chat message]
	05/16/2006	19:19:51	19:19:52	Jason		[Jason has fully erased the chat message]
	05/16/2006	19:19:56	19:19:59	137		[137 has fully erased the chat message]
720	05/16/2006	19:19:52	19:20:02	Jason	chat	so... should we try to find a formula i guess
	05/16/2006	19:20:08	19:20:12	Jason		[Jason has fully erased the chat message]
721	05/16/2006	19:20:13	19:20:22	Jason	chat	input: side length; output: # triangles
	05/16/2006	19:20:35	19:20:36	137		[137 has fully erased the chat message]
722	05/16/2006	19:20:12	19:20:39	qwertyuiop	chat	It might be easier to see it as the 6 smaller triangles.
723	05/16/2006	19:20:44	19:20:48	137	chat	Like this?	[1] Reference to message No. 722 (Text: It might be easier to see it as the 6 smaller triangles. )
	05/16/2006		19:20:53	137	wb	[137 created a line ]
	05/16/2006		19:20:57	137	wb	[137 created a line ]
	05/16/2006		19:21:00	137	wb	[137 created a line ]
724	05/16/2006	19:21:01	19:21:02	qwertyuiop	chat	yes
725	05/16/2006	19:21:00	19:21:03	Jason	chat	yup
	05/16/2006		19:21:03	137	wb	[137 resized some objects ]
	05/16/2006		19:21:05	137	wb	[137 resized some objects ]
	05/16/2006	19:21:23	19:21:23	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006	19:21:24	19:21:26	137		[137 has fully erased the chat message]
726	05/16/2006	19:21:23	19:21:29	qwertyuiop	chat	side length is the same...
727	05/16/2006	19:22:05	19:22:06	Jason	chat	yeah
728	05/16/2006	19:22:06	19:22:13	Jason	chat	so it'll just be x6 for # triangles in the hexagon
729	05/16/2006	19:22:04	19:22:19	137	chat	Each one has 1+3+5 triangles.
730	05/16/2006	19:22:17	19:22:23	Jason	chat	but then we're assuming just regular hexagons
	05/16/2006	19:22:23	19:22:27	137		[137 has fully erased the chat message]
731	05/16/2006	19:21:53	19:22:29	qwertyuiop	chat	the "each polygon corrisponds to 2 sides" thing we did last time doesn't work for triangles
	05/16/2006	19:22:28	19:22:33	137		[137 has fully erased the chat message]
732	05/16/2006	19:22:43	19:23:17	137	chat	It equals 1+3+...+(n+n-1) because of the "rows"?
733	05/16/2006	19:23:43	19:24:00	qwertyuiop	chat	yes- 1st row is 1, 2nd row is 3...
734	05/16/2006	19:24:22	19:24:49	137	chat	And there are n terms so... n(2n/2)
735	05/16/2006	19:25:01	19:25:07	137	chat	or n^2	[1] Reference to message No. 734 (Text: And there are n terms so... n(2n/2) )
736	05/16/2006	19:25:17	19:25:17	Jason	chat	yeah
737	05/16/2006	19:25:18	19:25:21	Jason	chat	then multiply by 6
738	05/16/2006	19:25:26	19:25:31	137	chat	To get 6n^2	[1] Reference to message No. 737 (Text: then multiply by 6 )
739	05/16/2006	19:25:21	19:25:39	Jason	chat	but this is only with regular hexagons... is it possible to have one definite formula for irregular hexagons as well
740	05/16/2006	19:24:19	19:25:46	nan	chat	(sorry to interrupt) jason, do you think you can ask ssjnish to check the email to see the instructions sent by VMT team, which might help?
741	05/16/2006	19:25:42	19:25:48	Jason	chat	i'm not sure if its possible tho
742	05/16/2006	19:24:39	19:25:48	qwertyuiop	chat	an idea: Find the number of a certain set of colinear sides (there are 3 sets) and multiply the result by 3
	05/16/2006	19:25:55	19:25:57	Jason		[Jason has fully erased the chat message]
743	05/16/2006	19:25:57	19:26:03	Jason	chat	i did--apparently it didn't work for him	[1] Reference to message No. 740 (Text: (sorry to interrupt) jason, do you think you can ask ssjnish to check the email to see the instructions sent by VMT team, which might help? )
	05/16/2006	19:26:09	19:26:10	nan		[nan has fully erased the chat message]
744	05/16/2006	19:26:05	19:26:13	Jason	chat	or his internet could be down, as he's not even on IM right now
745	05/16/2006	19:26:10	19:26:13	nan	chat	i see. thanks!	[1] Reference to message No. 743 (Text: i did--apparently it didn't work for him )
	05/16/2006		19:26:23	137	wb	[137 created a line ]
	05/16/2006		19:26:25	137	wb	[137 created a line ]
	05/16/2006		19:26:26	137	wb	[137 created a line ]
	05/16/2006		19:26:28	137	wb	[137 created a line ]
	05/16/2006		19:26:29	137	wb	[137 created a line ]
	05/16/2006		19:26:31	137	wb	[137 created a line ]
	05/16/2006		19:26:32	137	wb	[137 created a line ]
	05/16/2006		19:26:33	137	wb	[137 created a line ]
746	05/16/2006	19:26:20	19:26:36	137	chat	As in those?	[1] Reference to message No. 742 (Text: an idea: Find the number of a certain set of colinear sides (there are 3 sets) and multiply the result by 3 )
747	05/16/2006	19:26:46	19:27:05	qwertyuiop	chat	no-in one triangle. I'll draw it...	[1] Reference to message No. 746 (Text: As in those? )
	05/16/2006		19:27:10	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:14	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:15	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:17	137	wb	[137 moved some object/s ]
	05/16/2006		19:27:17	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:21	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:22	137	wb	[137 moved some object/s ]
	05/16/2006		19:27:24	137	wb	[137 moved some object/s ]
	05/16/2006		19:27:24	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:27	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:31	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:32	137	wb	[137 moved some object/s ]
	05/16/2006		19:27:36	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:39	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:42	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:44	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:48	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:52	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:27:54	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:57	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:27:59	qwertyuiop	wb	[qwertyuiop changed layout ]
	05/16/2006		19:28:01	qwertyuiop	wb	[qwertyuiop changed layout ]
	05/16/2006		19:28:06	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:28:08	137	wb	[137 changed layout ]
748	05/16/2006	19:28:09	19:28:10	qwertyuiop	chat	those
	05/16/2006		19:28:13	137	wb	[137 changed layout ]
	05/16/2006		19:28:19	137	wb	[137 changed layout ]
	05/16/2006	19:28:24	19:28:25	137		[137 has fully erased the chat message]
749	05/16/2006	19:28:18	19:28:28	qwertyuiop	chat	find those, and then multiply by 3
	05/16/2006	19:28:27	19:28:29	137		[137 has fully erased the chat message]
	05/16/2006	19:28:30	19:28:32	137		[137 has fully erased the chat message]
750	05/16/2006	19:28:48	19:28:50	137	chat	The rows?
	05/16/2006	19:28:58	19:29:00	qwertyuiop		[qwertyuiop has fully erased the chat message]
751	05/16/2006	19:29:01	19:30:01	qwertyuiop	chat	The green lines are all colinear. There are 3 identical sets of colinear lines in that triangle. Find the number of sides in one set, then multiply by 3 for all the other sets.
752	05/16/2006	19:30:20	19:30:23	137	chat	Ah. I see.
	05/16/2006		19:30:48	137	wb	[137 created a line ]
	05/16/2006		19:30:50	137	wb	[137 created a line ]
	05/16/2006		19:30:54	137	wb	[137 created a line ]
	05/16/2006		19:30:55	137	wb	[137 created a line ]
	05/16/2006		19:30:57	137	wb	[137 created a line ]
	05/16/2006		19:30:58	137	wb	[137 created a line ]
753	05/16/2006	19:31:00	19:31:07	137	chat	Wait. Wouldn't that not work for that one?
754	05/16/2006	19:31:11	19:31:12	Jason	chat	yeah
755	05/16/2006	19:31:12	19:31:15	Jason	chat	beacuse that's irregular
756	05/16/2006	19:31:09	19:31:17	137	chat	Or are we still only talking regular ones?
757	05/16/2006	19:31:20	19:31:22	137	chat	About
	05/16/2006	19:31:16	19:31:24	Jason		[Jason has fully erased the chat message]
758	05/16/2006	19:30:38	19:31:24	qwertyuiop	chat	side length 1 = 1, side length 2 = 3, side length 3 = 6...
	05/16/2006	19:31:24	19:31:25	Jason		[Jason has fully erased the chat message]
	05/16/2006	19:31:27	19:31:36	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		19:31:45	137	wb	[137 created a line ]
	05/16/2006		19:31:53	137	wb	[137 created a line ]
	05/16/2006		19:31:54	137	wb	[137 created a line ]
	05/16/2006		19:32:00	137	wb	[137 moved some object/s ]
	05/16/2006		19:32:04	137	wb	[137 moved some object/s ]
	05/16/2006		19:32:05	137	wb	[137 moved some object/s ]
	05/16/2006		19:32:07	137	wb	[137 moved some object/s ]
	05/16/2006		19:32:09	137	wb	[137 moved some object/s ]
	05/16/2006		19:32:15	137	wb	[137 moved some object/s ]
	05/16/2006	19:32:31	19:32:32	137		[137 has fully erased the chat message]
759	05/16/2006	19:32:32	19:32:50	137	chat	Shouldn't side length 2 be fore?	[1] Reference to message No. 758 (Text: side length 1 = 1, side length 2 = 3, side length 3 = 6... )
760	05/16/2006	19:32:52	19:32:53	137	chat	*four
761	05/16/2006	19:33:06	19:33:10	qwertyuiop	chat	I count 3.	[1] Reference to message No. 759 (Text: Shouldn't side length 2 be fore? )
762	05/16/2006	19:33:20	19:33:25	137	chat	Oh. Sry.
763	05/16/2006	19:33:24	19:33:30	qwertyuiop	chat	It's this triangle.	[1] Reference to whiteboard (LineStuff-1147821408921-30900751)
	05/16/2006	19:33:26	19:33:30	137		[137 has fully erased the chat message]
764	05/16/2006	19:33:44	19:33:45	137	chat	We
	05/16/2006	19:33:45	19:33:48	137		[137 has fully erased the chat message]
	05/16/2006	19:33:49	19:33:50	137		[137 has fully erased the chat message]
765	05/16/2006	19:33:47	19:33:54	qwertyuiop	chat	I don't see the pattern yet...	[1] Reference to message No. 758 (Text: side length 1 = 1, side length 2 = 3, side length 3 = 6... )
766	05/16/2006	19:33:50	19:34:01	137	chat	We're ignoring the bottom one?
	05/16/2006		19:34:10	137	wb	[137 moved some object/s ]
	05/16/2006		19:34:14	137	wb	[137 created a line ]
	05/16/2006		19:34:18	137	wb	[137 moved some object/s ]
767	05/16/2006	19:34:11	19:34:29	qwertyuiop	chat	no, 3 is only for side length 2.	[1] Reference to message No. 766 (Text: We're ignoring the bottom one? )
768	05/16/2006	19:34:36	19:34:52	137	chat	And I think the'y;re all triangular numbers.	[1] Reference to message No. 765 (Text: I don't see the pattern yet... )
	05/16/2006		19:35:03	137	wb	[137 changed layout ]
	05/16/2006		19:35:11	137	wb	[137 changed layout ]
	05/16/2006		19:35:16	137	wb	[137 created a line ]
769	05/16/2006	19:35:06	19:35:17	qwertyuiop	chat	"triangular numbers"?	[1] Reference to message No. 768 (Text: And I think the'y;re all triangular numbers. )
	05/16/2006		19:35:27	137	wb	[137 created a line ]
	05/16/2006		19:35:29	137	wb	[137 created a line ]
	05/16/2006		19:35:31	137	wb	[137 created a line ]
	05/16/2006		19:35:33	137	wb	[137 created a line ]
	05/16/2006		19:35:35	137	wb	[137 created a line ]
	05/16/2006		19:35:36	137	wb	[137 created a line ]
770	05/16/2006	19:35:28	19:35:37	Jason	chat	you mean like 1, 3, 7, ...
771	05/16/2006	19:35:39	19:35:39	Jason	chat	?
	05/16/2006	19:35:49	19:35:50	qwertyuiop		[qwertyuiop has fully erased the chat message]
772	05/16/2006	19:35:48	19:35:59	137	chat	Like 1,3,6,10,15,21,28.	[1] Reference to message No. 770 (Text: you mean like 1, 3, 7, ... )
773	05/16/2006	19:35:51	19:36:02	qwertyuiop	chat	the sequence is 1, 3, 6...	[1] Reference to message No. 770 (Text: you mean like 1, 3, 7, ... )
774	05/16/2006	19:36:02	19:36:30	137	chat	Numbers that can be expressed as n(n+1)/2, where n is an integer.
775	05/16/2006	19:36:44	19:36:45	qwertyuiop	chat	ah
776	05/16/2006	19:37:09	19:37:18	137	chat	So are we ignoring the bottom orange line for now?	[1] Reference to message No. 766 (Text: We're ignoring the bottom one? )
	05/16/2006	19:37:15	19:37:32	qwertyuiop		[qwertyuiop has fully erased the chat message]
777	05/16/2006	19:37:32	19:37:36	qwertyuiop	chat	"green"?	[1] Reference to message No. 776 (Text: So are we ignoring the bottom orange line for now? )
778	05/16/2006	19:37:44	19:37:48	137	chat	THe short orange segment.
	05/16/2006	19:37:56	19:37:58	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		19:37:59	137	wb	[137 changed layout ]
	05/16/2006		19:38:02	137	wb	[137 changed layout ]
779	05/16/2006	19:37:49	19:38:05	137	chat	PArallel to the blue lines.
780	05/16/2006	19:37:58	19:38:05	qwertyuiop	chat	I don't think so...
781	05/16/2006	19:38:20	19:38:26	137	chat	Wait, we are counting sticks right now, right?	[1] Reference to message No. 780 (Text: I don't think so... )
782	05/16/2006	19:38:35	19:38:48	qwertyuiop	chat	yes-one of the colinear ets of sticks
783	05/16/2006	19:38:55	19:39:08	qwertyuiop	chat	oops-"sets" not " ets"
784	05/16/2006	19:39:22	19:39:42	137	chat	So we are trying to find the total number of sticks in a given regular hexagon?	[1] Reference to message No. 782 (Text: yes-one of the colinear ets of sticks )
785	05/16/2006	19:39:50	19:40:18	qwertyuiop	chat	not yet-we are finding one of the three sets, then multiplying by 3	[1] Reference to message No. 784 (Text: So we are trying to find the total number of sticks in a given regular hexagon? )
	05/16/2006	19:40:22	19:40:24	qwertyuiop		[qwertyuiop has fully erased the chat message]
786	05/16/2006	19:40:25	19:40:40	qwertyuiop	chat	that will give the number in the whol triangle
787	05/16/2006	19:40:34	19:40:51	137	chat	Then shouldn't we also count the bottom line?	[1] Reference to message No. 785 (Text: not yet-we are finding one of the three sets, then multiplying by 3 )
788	05/16/2006	19:40:52	19:41:01	Jason	chat	are you taking into account the fact that some of the sticks will overlap	[1] Reference to message No. 786 (Text: that will give the number in the whol triangle )
	05/16/2006	19:41:12	19:41:15	qwertyuiop		[qwertyuiop has fully erased the chat message]
789	05/16/2006	19:41:25	19:41:41	137	chat	Then number of sticks needed for the hexagon, right?	[1] Reference to message No. 786 (Text: that will give the number in the whol triangle )
790	05/16/2006	19:41:16	19:42:22	qwertyuiop	chat	Yes. The blue and green/orange lines make up on of the three colinear sets of sides in the triangle. Each set is identical and doesn't overlap with the other sets.	[1] Reference to message No. 788 (Text: are you taking into account the fact that some of the sticks will overlap )
791	05/16/2006	19:42:50	19:42:50	Jason	chat	ok
	05/16/2006	19:42:50	19:42:52	Jason		[Jason has fully erased the chat message]
	05/16/2006	19:42:52	19:43:01	Jason		[Jason has fully erased the chat message]
792	05/16/2006	19:43:03	19:43:11	Jason	chat	this would be true for hexagons of any size right>
793	05/16/2006	19:43:09	19:43:13	qwertyuiop	chat	triangle, so far	[1] Reference to message No. 789 (Text: Then number of sticks needed for the hexagon, right? )
794	05/16/2006	19:43:25	19:43:25	137	chat	Oh.
795	05/16/2006	19:43:25	19:43:26	qwertyuiop	chat	this one	[1] Reference to whiteboard (whiteboardDoc)
796	05/16/2006	19:43:42	19:43:52	137	chat	Yes, but they will overlap...
797	05/16/2006	19:43:59	19:44:13	137	chat	Eventually when you multiply by 6 to get it for the whole figure.
798	05/16/2006	19:44:01	19:44:30	qwertyuiop	chat	no, the sets are not colinear with eachother. I'll draw it...	[1] Reference to message No. 796 (Text: Yes, but they will overlap... )
	05/16/2006		19:44:35	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:44:37	qwertyuiop	wb	[qwertyuiop moved some object/s ]
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	05/16/2006		19:44:43	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:44:45	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:44:47	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:44:50	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/16/2006		19:44:51	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/16/2006		19:44:56	qwertyuiop	wb	[qwertyuiop created a line ]
799	05/16/2006		19:44:59	137	chat		[1] Reference to message No. 798 (Text: no, the sets are not colinear with eachother. I'll draw it... )
	05/16/2006		19:44:59	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:45:11	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:45:14	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:45:17	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006	19:45:00	19:45:17	137		[137 has fully erased the chat message]
	05/16/2006		19:45:20	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006	19:45:20	19:45:22	137		[137 has fully erased the chat message]
	05/16/2006		19:45:23	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:45:29	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:45:37	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006	19:45:36	19:45:38	137		[137 has fully erased the chat message]
	05/16/2006	19:45:39	19:45:41	137		[137 has fully erased the chat message]
	05/16/2006		19:45:41	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/16/2006		19:45:44	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/16/2006		19:46:11	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:46:14	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006		19:46:16	qwertyuiop	wb	[qwertyuiop created a line ]
	05/16/2006	19:46:20	19:46:21	qwertyuiop		[qwertyuiop has fully erased the chat message]
800	05/16/2006	19:46:22	19:46:34	137	chat	Oh. I see.
801	05/16/2006	19:46:22	19:46:52	qwertyuiop	chat	Those are the 3 sets. One is red, one is green, one is purple.
	05/16/2006		19:47:07	137	wb	[137 changed layout ]
	05/16/2006		19:47:11	137	wb	[137 changed layout ]
802	05/16/2006	19:47:04	19:47:12	Jason	chat	wait--- i don't see the green/purple ones
	05/16/2006		19:47:17	137	wb	[137 changed layout ]
	05/16/2006		19:47:24	137	wb	[137 changed layout ]
	05/16/2006		19:47:33	137	wb	[137 changed layout ]
803	05/16/2006	19:47:18	19:47:40	qwertyuiop	chat	so we find a function for that sequence and multiply by 3	[1] Reference to message No. 774 (Text: Numbers that can be expressed as n(n+1)/2, where n is an integer. )
	05/16/2006		19:48:04	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/16/2006		19:48:05	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/16/2006		19:48:06	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
804	05/16/2006	19:48:25	19:48:49	nan	chat	(we got a question for you from another team, which was posted in the lobby:
805	05/16/2006	19:48:52	19:48:53	nan	chat	Quicksilver 7:44:50 PM EDT: Hey anyone from team c, our team needs to know what n was in your equations last week
806	05/16/2006	19:49:04	19:49:04	Jason	chat	oh
	05/16/2006	19:49:04	19:49:11	Jason		[Jason has fully erased the chat message]
807	05/16/2006	19:49:12	19:49:15	137	chat	The length of a side.
808	05/16/2006	19:49:10	19:49:16	qwertyuiop	chat	was n side length?
	05/16/2006	19:49:08	19:49:23	nan		[nan has fully erased the chat message]
	05/16/2006	19:49:20	19:49:25	Jason		[Jason has fully erased the chat message]
809	05/16/2006	19:49:26	19:49:33	Jason	chat	are you talking about the original problem with the squares
810	05/16/2006	19:49:44	19:49:48	137	chat	I think nan is.	[1] Reference to message No. 809 (Text: are you talking about the original problem with the squares )
811	05/16/2006	19:49:43	19:49:58	qwertyuiop	chat	i think it's squares and diamonds	[1] Reference to message No. 809 (Text: are you talking about the original problem with the squares )
812	05/16/2006	19:49:58	19:49:58	Jason	chat	oh
813	05/16/2006	19:49:59	19:50:12	Jason	chat	then if you look in the topic description, theres a column for N;
814	05/16/2006	19:50:12	19:50:14	Jason	chat	thats what it is
815	05/16/2006	19:50:09	19:50:17	nan	chat	ok, quicksilver said they got it
816	05/16/2006	19:50:22	19:50:25	Jason	chat	so yes it is # sides
817	05/16/2006	19:50:21	19:50:26	nan	chat	thanks guys
	05/16/2006		19:51:35	137	wb	[137 changed layout ]
	05/16/2006		19:51:40	137	wb	[137 changed layout ]
	05/16/2006		19:51:44	137	wb	[137 changed layout ]
	05/16/2006		19:51:57	137	wb	[137 changed layout ]
	05/16/2006		19:52:02	137	wb	[137 changed layout ]
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	05/16/2006		19:52:10	137	wb	[137 changed layout ]
	05/16/2006		19:52:15	137	wb	[137 changed layout ]
818	05/16/2006	19:51:11	19:52:19	qwertyuiop	chat	what about: f(n)=2n-1 where n is side length	[1] Reference to message No. 772 (Text: Like 1,3,6,10,15,21,28. )
	05/16/2006		19:52:28	137	wb	[137 changed layout ]
819	05/16/2006	19:52:55	19:53:03	137	chat	I don't think that works.	[1] Reference to message No. 818 (Text: what about: f(n)=2n-1 where n is side length )
820	05/16/2006	19:53:07	19:53:18	137	chat	Howbout just n(n+1)/2
821	05/16/2006	19:53:37	19:53:41	Jason	chat	for # sticks?
822	05/16/2006	19:53:38	19:53:48	qwertyuiop	chat	that's number of sides for one set	[1] Reference to message No. 820 (Text: Howbout just n(n+1)/2 )
823	05/16/2006	19:53:50	19:53:51	qwertyuiop	chat	?
824	05/16/2006	19:53:57	19:53:59	Jason	chat	oh ok nvm
	05/16/2006	19:54:07	19:54:09	137		[137 has fully erased the chat message]
	05/16/2006	19:54:10	19:54:16	137		[137 has fully erased the chat message]
	05/16/2006	19:54:17	19:54:19	137		[137 has fully erased the chat message]
	05/16/2006	19:54:21	19:54:25	137		[137 has fully erased the chat message]
825	05/16/2006	19:54:26	19:54:29	137	chat	Ya.	[1] Reference to message No. 822 (Text: that's number of sides for one set )
826	05/16/2006	19:54:36	19:54:58	qwertyuiop	chat	then x3 is 3(n(n+1)/2)	[1] Reference to message No. 820 (Text: Howbout just n(n+1)/2 )
827	05/16/2006	19:55:04	19:55:07	qwertyuiop	chat	simplified to...	[1] Reference to message No. 826 (Text: then x3 is 3(n(n+1)/2) )
828	05/16/2006	19:55:11	19:55:37	qwertyuiop	chat	(n(n+1)1.5
829	05/16/2006	19:55:34	19:55:44	137	chat	On second thought, shouldn't we use n(n-1) for these:	[1] Reference to message No. 826 (Text: then x3 is 3(n(n+1)/2) )
	05/16/2006		19:55:50	137	wb	[137 changed layout ]
	05/16/2006		19:55:52	137	wb	[137 changed layout ]
	05/16/2006		19:55:55	137	wb	[137 changed layout ]
830	05/16/2006	19:55:31	19:55:55	nan	chat	just a kind reminder: Jason mentioned that he needs to leave at 7p central time sharp
	05/16/2006	19:56:02	19:56:04	nan		[nan has fully erased the chat message]
831	05/16/2006	19:56:05	19:56:19	nan	chat	rest of you can continue if you like
832	05/16/2006	19:56:19	19:56:25	137	chat	Is that 5 pm PST?
833	05/16/2006	19:56:27	19:56:31	137	chat	or 4pm?
834	05/16/2006	19:56:32	19:56:32	nan	chat	yes	[1] Reference to message No. 832 (Text: Is that 5 pm PST? )
835	05/16/2006	19:56:41	19:56:42	137	chat	Ah.
836	05/16/2006	19:56:42	19:56:56	nan	chat	which is a couple of min from now, right, Jason?	[1] Reference to message No. 834 (Text: yes )
837	05/16/2006	19:57:15	19:57:16	qwertyuiop	chat	Jason?
838	05/16/2006	19:57:30	19:57:33	137	chat	I think he left?	[1] Reference to message No. 837 (Text: Jason? )
839	05/16/2006	19:57:43	19:57:52	Jason	chat	sorry i was away for a couple minutes
840	05/16/2006	19:57:58	19:58:02	Jason	chat	yeah i'll need to go pretty soon
841	05/16/2006	19:58:23	19:58:25	qwertyuiop	chat	back to this?	[1] Reference to message No. 829 (Text: On second thought, shouldn't we use n(n-1) for these: )
	05/16/2006	19:58:31	19:58:32	137		[137 has fully erased the chat message]
842	05/16/2006	19:58:32	19:58:34	137	chat	Ya
	05/16/2006	19:58:23	19:58:35	Jason		[Jason has fully erased the chat message]
	05/16/2006	19:58:37	19:58:39	Jason		[Jason has fully erased the chat message]
843	05/16/2006	19:58:39	19:58:49	qwertyuiop	chat	why not n(n-1)?	[1] Reference to message No. 829 (Text: On second thought, shouldn't we use n(n-1) for these: )
844	05/16/2006	19:58:39	19:58:50	Jason	chat	you guys pretty much have the formula for this hexagon problem...
845	05/16/2006	19:58:57	19:59:28	qwertyuiop	chat	We almost have it for the triangle. I don't know about the hexagon.	[1] Reference to message No. 844 (Text: you guys pretty much have the formula for this hexagon problem... )
	05/16/2006		19:59:32	137	wb	[137 moved some object/s ]
846	05/16/2006	19:59:35	19:59:50	Jason	chat	well that's just multiplied by a certain number for a hexagon, provided that it is regular	[1] Reference to message No. 845 (Text: We almost have it for the triangle. I don't know about the hexagon. )
847	05/16/2006	19:59:58	20:00:14	qwertyuiop	chat	but the sides of the triangles making up the hexagon overlap	[1] Reference to message No. 846 (Text: well that's just multiplied by a certain number for a hexagon, provided that it is regular )
	05/16/2006		20:00:17	137	wb	[137 moved some object/s ]
848	05/16/2006	19:59:52	20:00:18	Jason	chat	well i have to leave now; sorry for not participating as much as i wanted to, it's a pretty busy night for me with school and extracurricular stuff
	05/16/2006		20:00:19	137	wb	[137 moved some object/s ]
	05/16/2006	20:00:24	20:00:27	Jason		[Jason has fully erased the chat message]
	05/16/2006		20:00:35	137	wb	[137 moved some object/s ]
849	05/16/2006	20:00:31	20:00:35	Jason	chat	see you guys Thursday!
850	05/16/2006	20:00:44	20:00:48	nan	chat	thanks for participating	[1] Reference to message No. 849 (Text: see you guys Thursday! )
	05/16/2006	20:00:46	20:00:52	137		[137 has fully erased the chat message]
	05/16/2006	20:00:53	20:00:57	137		[137 has fully erased the chat message]
851	05/16/2006	20:00:53	20:00:57	nan	chat	see you Thursday
852	05/16/2006	20:00:57	20:01:00	137	chat	Cya/
853	05/16/2006		20:01:07	Jason	leaves	leaves the room
854	05/16/2006	20:01:19	20:01:31	137	chat	Anyways, if we multiply the orange by 3, we get the:
855	05/16/2006	20:01:14	20:01:34	nan	chat	do two of you want to continue working for a bit or stop here?
	05/16/2006		20:01:42	137	wb	[137 created a line ]
856	05/16/2006	20:01:40	20:01:44	nan	chat	i guess that's the answer	[1] Reference to message No. 854 (Text: Anyways, if we multiply the orange by 3, we get the: )
	05/16/2006		20:01:45	137	wb	[137 created a line ]
	05/16/2006		20:01:46	137	wb	[137 created a line ]
	05/16/2006		20:01:48	137	wb	[137 created a line ]
857	05/16/2006	20:01:47	20:01:48	nan	chat	go ahead
	05/16/2006		20:01:49	137	wb	[137 created a line ]
	05/16/2006		20:01:50	137	wb	[137 created a line ]
	05/16/2006		20:01:52	137	wb	[137 created a line ]
	05/16/2006		20:01:53	137	wb	[137 created a line ]
858	05/16/2006	20:01:57	20:02:14	137	chat	So then we add 12n for:
859	05/16/2006	20:01:28	20:02:15	qwertyuiop	chat	actually, this doesn't complicate it that much. The overlaps can be accounted for with "-6n"	[1] Reference to message No. 847 (Text: but the sides of the triangles making up the hexagon overlap )
	05/16/2006		20:02:32	137	wb	[137 changed layout ]
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	05/16/2006		20:02:45	137	wb	[137 created a line ]
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	05/16/2006		20:02:49	137	wb	[137 created a line ]
	05/16/2006		20:02:52	137	wb	[137 created a line ]
860	05/16/2006	20:02:54	20:02:55	137	chat	Oh.	[1] Reference to message No. 859 (Text: actually, this doesn't complicate it that much. The overlaps can be accounted for with "-6n" )
861	05/16/2006	20:02:56	20:03:07	137	chat	I like addition more than subtraction.
862	05/16/2006	20:03:11	20:03:16	qwertyuiop	chat	do you see why that works	[1] Reference to message No. 859 (Text: actually, this doesn't complicate it that much. The overlaps can be accounted for with "-6n" )
863	05/16/2006	20:03:18	20:03:18	qwertyuiop	chat	?
864	05/16/2006	20:03:12	20:03:29	137	chat	So: 9n(n+1)-6n.
	05/16/2006		20:03:36	137	START:TextEditing
	05/16/2006		20:03:37	137	END:TextEditing
	05/16/2006		20:03:37	137	START:TextEditing
865	05/16/2006	20:03:41	20:03:45	qwertyuiop	chat	9, not 3?
866	05/16/2006	20:04:13	20:04:14	137	chat	?	[1] Reference to message No. 865 (Text: 9, not 3? )
867	05/16/2006	20:04:18	20:04:35	qwertyuiop	chat	you have "9n(n..."
868	05/16/2006	20:04:37	20:04:47	qwertyuiop	chat	not "3n(n..."?
869	05/16/2006	20:04:51	20:05:00	137	chat	But we need to multiply by 6 then divide by 2	[1] Reference to message No. 868 (Text: not "3n(n..."? )
870	05/16/2006	20:05:10	20:05:22	qwertyuiop	chat	x6 and /2 for what?	[1] Reference to message No. 869 (Text: But we need to multiply by 6 then divide by 2 )
871	05/16/2006	20:05:44	20:05:47	137	chat	FOr each triangle
872	05/16/2006	20:05:48	20:06:02	137	chat	and /2 because it's part of the equation.
873	05/16/2006	20:06:03	20:06:06	137	chat	of n(n+1)/2
874	05/16/2006	20:05:36	20:06:20	qwertyuiop	chat	it's x3 for the 3 colinear sets, then x6 for 6 triangles in a hexagon... where's the 9 and 2?
875	05/16/2006	20:06:28	20:06:28	qwertyuiop	chat	oh	[1] Reference to message No. 872 (Text: and /2 because it's part of the equation. )
876	05/16/2006	20:06:35	20:06:38	137	chat	So 18/2.
877	05/16/2006	20:06:42	20:06:50	137	chat	A.K.A. 9
	05/16/2006	20:06:55	20:06:58	137		[137 has fully erased the chat message]
878	05/16/2006	20:06:48	20:07:08	qwertyuiop	chat	(n(n+1)/2)x3x6	[1] Reference to message No. 873 (Text: of n(n+1)/2 )
879	05/16/2006	20:07:14	20:07:15	137	chat	Yeah.
880	05/16/2006	20:07:20	20:07:27	qwertyuiop	chat	which can be simplified...
881	05/16/2006	20:07:42	20:07:46	137	chat	To 9n(n+1)	[1] Reference to message No. 880 (Text: which can be simplified... )
	05/16/2006	20:07:35	20:07:50	qwertyuiop		[qwertyuiop has fully erased the chat message]
882	05/16/2006	20:08:01	20:08:04	qwertyuiop	chat	that's it?	[1] Reference to message No. 881 (Text: To 9n(n+1) )
883	05/16/2006	20:08:10	20:08:12	137	chat	-6n.
884	05/16/2006	20:08:17	20:08:24	137	chat	So 9n(n+1)-6n
885	05/16/2006	20:08:20	20:08:34	qwertyuiop	chat	i'll put it with the other formulas...
	05/16/2006		20:08:38	qwertyuiop	START:TextEditing
	05/16/2006		20:08:42	qwertyuiop	END:TextEditing
	05/16/2006		20:08:44	137	END:TextEditing
	05/16/2006		20:08:45	137	wb	[137 changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 ]
	05/16/2006		20:08:53	qwertyuiop	START:TextEditing
	05/16/2006		20:09:30	qwertyuiop	END:TextEditing
	05/16/2006		20:09:30	qwertyuiop	wb	[qwertyuiop changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 ]
886	05/16/2006	20:09:39	20:09:47	qwertyuiop	chat	number of triangles is...
887	05/16/2006	20:10:27	20:10:28	137	chat	That.	[1] Reference to message No. 738 (Text: To get 6n^2 )
	05/16/2006	20:10:25	20:10:31	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		20:10:42	qwertyuiop	START:TextEditing
888	05/16/2006	20:10:37	20:10:43	137	chat	6n^2
	05/16/2006		20:10:54	137	START:TextEditing
	05/16/2006		20:11:03	137	END:TextEditing
	05/16/2006		20:11:03	137	wb	[137 changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagonw/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 ]
	05/16/2006		20:11:07	137	START:TextEditing
	05/16/2006		20:11:07	qwertyuiop	END:TextEditing
	05/16/2006		20:11:07	qwertyuiop	wb	[qwertyuiop changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon: 6n^2 ]
	05/16/2006		20:11:08	137	END:TextEditing
	05/16/2006		20:11:08	137	wb	[137 changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 ]
	05/16/2006		20:11:20	137	START:TextEditing
889	05/16/2006	20:11:25	20:11:26	qwertyuiop	chat	oops	[1] Reference to message No. 888 (Text: 6n^2 )
	05/16/2006		20:11:30	137	END:TextEditing
	05/16/2006		20:11:30	137	wb	[137 changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon w/ triangles 6n^2 ]
890	05/16/2006	20:12:12	20:12:22	qwertyuiop	chat	what about the hypercube?
891	05/16/2006	20:12:29	20:12:33	137	chat	Er...	[1] Reference to message No. 890 (Text: what about the hypercube? )
892	05/16/2006	20:12:36	20:12:39	137	chat	That thing confuses me.	[1] Reference to message No. 891 (Text: Er... )
893	05/16/2006	20:12:56	20:13:00	137	chat	The blue diagram, right?
	05/16/2006		20:13:08	137	wb	[137 created a line ]
	05/16/2006		20:13:10	137	wb	[137 created a line ]
	05/16/2006		20:13:11	137	wb	[137 created a line ]
894	05/16/2006	20:12:37	20:13:13	qwertyuiop	chat	can you imagine extending it it 4 dimensions, and a square extends into a grid?
	05/16/2006		20:13:14	137	wb	[137 created a line ]
	05/16/2006		20:13:16	137	wb	[137 created a line ]
895	05/16/2006	20:13:16	20:13:17	qwertyuiop	chat	yes	[1] Reference to message No. 893 (Text: The blue diagram, right? )
	05/16/2006		20:13:18	137	wb	[137 created a line ]
	05/16/2006	20:13:20	20:13:21	qwertyuiop		[qwertyuiop has fully erased the chat message]
896	05/16/2006	20:13:26	20:13:30	137	chat	I didn't get that?	[1] Reference to message No. 894 (Text: can you imagine extending it it 4 dimensions, and a square extends into a grid? )
897	05/16/2006	20:13:21	20:13:32	qwertyuiop	chat	I'm having trouble doing that.	[1] Reference to message No. 894 (Text: can you imagine extending it it 4 dimensions, and a square extends into a grid? )
	05/16/2006	20:13:40	20:13:40	qwertyuiop		[qwertyuiop has fully erased the chat message]
898	05/16/2006	20:13:41	20:13:45	qwertyuiop	chat	didn't get this?	[1] Reference to message No. 894 (Text: can you imagine extending it it 4 dimensions, and a square extends into a grid? )
	05/16/2006	20:13:41	20:13:48	137		[137 has fully erased the chat message]
899	05/16/2006	20:13:49	20:13:50	137	chat	Ya.
	05/16/2006	20:13:55	20:13:56	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		20:14:08	137	wb	[137 created a rectangle ]
	05/16/2006		20:14:11	137	wb	[137 created a rectangle ]
	05/16/2006		20:14:25	137	wb	[137 created a line ]
	05/16/2006		20:14:29	137	wb	[137 created a line ]
	05/16/2006		20:14:31	137	wb	[137 created a line ]
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	05/16/2006		20:14:38	137	wb	[137 created a line ]
	05/16/2006		20:14:40	137	wb	[137 created a line ]
	05/16/2006		20:14:43	137	wb	[137 created a line ]
	05/16/2006		20:14:45	137	wb	[137 created a line ]
	05/16/2006		20:14:49	137	wb	[137 created a line ]
	05/16/2006		20:14:52	137	wb	[137 created a line ]
	05/16/2006		20:14:56	137	wb	[137 created a line ]
	05/16/2006		20:14:59	137	wb	[137 created a line ]
900	05/16/2006	20:13:57	20:15:02	qwertyuiop	chat	If you have a square, it extends to make a grid that fills a plane. A cube fills a space. A simaller pattern of hypercubes fills a "hyperspace".
	05/16/2006		20:15:02	137	wb	[137 created a line ]
	05/16/2006		20:15:08	137	wb	[137 created a line ]
	05/16/2006	20:15:14	20:15:16	qwertyuiop		[qwertyuiop has fully erased the chat message]
901	05/16/2006	20:15:17	20:15:19	137	chat	The heck?	[1] Reference to message No. 900 (Text: If you have a square, it extends to make a grid that fills a plane. A cube fills a space. A simaller pattern of hypercubes fills a "hyperspace". )
	05/16/2006	20:15:23	20:15:24	137		[137 has fully erased the chat message]
902	05/16/2006	20:15:25	20:15:29	137	chat	That's kinda confusing.	[1] Reference to message No. 900 (Text: If you have a square, it extends to make a grid that fills a plane. A cube fills a space. A simaller pattern of hypercubes fills a "hyperspace". )
	05/16/2006		20:15:33	137	wb	[137 created a line ]
	05/16/2006		20:15:36	137	wb	[137 created a line ]
	05/16/2006		20:15:38	137	wb	[137 created a line ]
	05/16/2006		20:15:39	137	wb	[137 created a line ]
	05/16/2006		20:15:41	137	wb	[137 created a line ]
903	05/16/2006	20:15:16	20:15:43	qwertyuiop	chat	So, how many planes in a hyper cube latice of space n?
	05/16/2006		20:15:43	137	wb	[137 created a line ]
	05/16/2006		20:15:46	137	wb	[137 created a line ]
	05/16/2006		20:15:47	137	wb	[137 created a line ]
	05/16/2006		20:15:49	137	wb	[137 created a line ]
	05/16/2006		20:15:50	137	wb	[137 created a line ]
	05/16/2006		20:15:51	137	wb	[137 created a line ]
	05/16/2006		20:15:53	137	wb	[137 created a line ]
904	05/16/2006	20:16:04	20:16:05	137	chat	Er...	[1] Reference to message No. 903 (Text: So, how many planes in a hyper cube latice of space n? )
905	05/16/2006	20:15:48	20:16:07	qwertyuiop	chat	instead of "how many lines in a grid of length n"
906	05/16/2006	20:16:11	20:16:17	qwertyuiop	chat	does that make any sense?
907	05/16/2006	20:16:23	20:16:30	137	chat	No. No offense, of course.	[1] Reference to message No. 906 (Text: does that make any sense? )
908	05/16/2006	20:16:35	20:16:43	qwertyuiop	chat	ok... let me think...
	05/16/2006	20:16:54	20:16:57	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		20:17:06	137	wb	[137 created a line ]
	05/16/2006		20:17:08	137	wb	[137 created a line ]
	05/16/2006		20:17:10	137	wb	[137 created a line ]
	05/16/2006		20:17:14	137	wb	[137 created a line ]
	05/16/2006		20:17:16	137	wb	[137 created a line ]
	05/16/2006		20:17:18	137	wb	[137 created a line ]
909	05/16/2006	20:16:58	20:17:19	qwertyuiop	chat	Imagine our first problem with a grid of squares.
	05/16/2006		20:17:21	137	wb	[137 created a line ]
	05/16/2006		20:17:23	137	wb	[137 created a line ]
910	05/16/2006	20:17:29	20:17:31	137	chat	Right.	[1] Reference to message No. 909 (Text: Imagine our first problem with a grid of squares. )
	05/16/2006		20:17:48	137	wb	[137 created a line ]
	05/16/2006		20:17:54	137	wb	[137 resized some objects ]
911	05/16/2006	20:17:23	20:18:07	qwertyuiop	chat	The squares are 2 dimensional and they can be arranged in a grid to tessalate over a plane. The plane is also 2 dimensional.
	05/16/2006		20:18:27	137	wb	[137 moved some object/s ]
912	05/16/2006	20:18:39	20:18:41	137	chat	Right.	[1] Reference to message No. 911 (Text: The squares are 2 dimensional and they can be arranged in a grid to tessalate over a plane. The plane is also 2 dimensional. )
913	05/16/2006	20:18:12	20:18:54	qwertyuiop	chat	If you use 3 dimensional cubes, they can be arranged to fill a 3 dimensional space.
914	05/16/2006	20:19:08	20:19:17	137	chat	And that structure's 4 dimensional?	[1] Reference to message No. 913 (Text: If you use 3 dimensional cubes, they can be arranged to fill a 3 dimensional space. )
915	05/16/2006	20:18:56	20:19:25	qwertyuiop	chat	If you have hypercubes, they can be arranged to fill a 4 dimensional "hyperspace"
916	05/16/2006	20:19:32	20:19:36	qwertyuiop	chat	what's 4D?	[1] Reference to message No. 914 (Text: And that structure's 4 dimensional? )
	05/16/2006	20:19:37	20:19:40	137		[137 has fully erased the chat message]
917	05/16/2006	20:19:45	20:19:46	137	chat	?	[1] Reference to message No. 916 (Text: what's 4D? )
918	05/16/2006	20:19:43	20:20:04	nan	chat	you may want to make your ideas available on the wiki before you go
919	05/16/2006	20:20:06	20:20:09	nan	chat	which may take some time
920	05/16/2006	20:20:15	20:20:24	137	chat	Actually, I only have around 10 minutes left.	[1] Reference to message No. 919 (Text: which may take some time )
921	05/16/2006	20:19:51	20:20:29	qwertyuiop	chat	you say "and that structure's 4 dimensional?" -what's "that"	[1] Reference to message No. 914 (Text: And that structure's 4 dimensional? )
922	05/16/2006	20:20:33	20:20:34	nan	chat	oh	[1] Reference to message No. 920 (Text: Actually, I only have around 10 minutes left. )
923	05/16/2006		20:20:35	137	chat		[1] Reference to message No. 921 (Text: you say "and that structure's 4 dimensional?" -what's "that" )
924	05/16/2006	20:20:36	20:20:43	137	chat	The hypercube
	05/16/2006	20:20:43	20:20:46	qwertyuiop		[qwertyuiop has fully erased the chat message]
925	05/16/2006	20:20:50	20:20:50	qwertyuiop	chat	yes	[1] Reference to message No. 924 (Text: The hypercube )
926	05/16/2006	20:21:00	20:21:02	137	chat	Um...
927	05/16/2006	20:20:58	20:21:09	qwertyuiop	chat	I have homework to do, too...	[1] Reference to message No. 920 (Text: Actually, I only have around 10 minutes left. )
928	05/16/2006	20:21:03	20:21:33	137	chat	So how the heck are we supposed to calculate the number of four-dimentional figures?
929	05/16/2006	20:21:32	20:21:42	nan	chat	do you want to stop here and start putting ideas on wiki?
930	05/16/2006	20:21:47	20:21:47	qwertyuiop	chat	ok
	05/16/2006	20:21:44	20:21:48	137		[137 has fully erased the chat message]
931	05/16/2006	20:21:51	20:21:52	137	chat	Sure.	[1] Reference to message No. 929 (Text: do you want to stop here and start putting ideas on wiki? )
932	05/16/2006	20:22:02	20:22:09	qwertyuiop	chat	resume from here next time?	[1] Reference to message No. 928 (Text: So how the heck are we supposed to calculate the number of four-dimentional figures? )
	05/16/2006		20:22:13	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:15	137	wb	[137 moved some object/s ]
933	05/16/2006	20:22:16	20:22:17	nan	chat	sure
934	05/16/2006	20:22:18	20:22:19	137	chat	Ya.
	05/16/2006		20:22:22	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:29	137	wb	[137 moved some object/s ]
	05/16/2006	20:22:29	20:22:29	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006	20:22:31	20:22:32	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		20:22:36	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:38	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:40	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:41	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:45	137	wb	[137 moved some object/s ]
935	05/16/2006	20:22:32	20:22:48	qwertyuiop	chat	We have the 2 hexagon equations to put on the wiki.
	05/16/2006		20:22:48	137	wb	[137 moved some object/s ]
	05/16/2006		20:22:58	137	wb	[137 moved some object/s ]
936	05/16/2006	20:23:04	20:23:04	137	chat	Right.	[1] Reference to message No. 935 (Text: We have the 2 hexagon equations to put on the wiki. )
	05/16/2006		20:23:08	137	wb	[137 moved some object/s ]
	05/16/2006	20:23:11	20:23:11	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/16/2006		20:23:11	137	wb	[137 resized some objects ]
	05/16/2006		20:23:13	137	wb	[137 moved some object/s ]
937	05/16/2006	20:23:11	20:23:18	qwertyuiop	chat	Where's the wiki again?
	05/16/2006		20:23:19	137	wb	[137 created a line ]
938	05/16/2006	20:23:27	20:23:30	nan	chat	open "view topic"	[1] Reference to message No. 937 (Text: Where's the wiki again? )
939	05/16/2006	20:23:23	20:23:31	137	chat	Somewhere in the View topic button
	05/16/2006		20:23:37	137	wb	[137 created a line ]
940	05/16/2006	20:23:39	20:23:41	nan	chat	there's link
941	05/16/2006	20:23:53	20:23:54	qwertyuiop	chat	I see it.
942	05/16/2006		20:24:28	137	leaves	leaves the room
	05/16/2006		20:24:43	qwertyuiop	START:TextEditing
943	05/16/2006	20:24:57	20:25:02	qwertyuiop	chat	i'll write it.
	05/16/2006		20:25:05	qwertyuiop	END:TextEditing
944	05/16/2006		20:25:05	qwertyuiop	leaves	leaves the room
	05/16/2006	20:25:07	20:25:08	nan		[nan has fully erased the chat message]
	05/16/2006		20:25:13	nan	START:isTyping	[]
945	05/16/2006		20:25:19	nan	leaves	leaves the room
946	05/17/2006		13:53:58	nan	joins	joins the room
947	05/17/2006		14:01:24	nan	leaves	leaves the room
948	05/17/2006		14:04:11	nan	joins	joins the room
949	05/17/2006		14:06:44	nan	leaves	leaves the room
950	05/18/2006		13:49:15	nan	joins	joins the room
	05/18/2006		13:57:27	nan	wb	[nan moved some object/s ]
951	05/18/2006		15:34:23	tutor	joins	joins the room
952	05/18/2006		15:38:04	nan	leaves	leaves the room
953	05/18/2006		15:46:26	tutor	leaves	leaves the room
954	05/18/2006		18:07:07	jsarmi	joins	joins the room
	05/18/2006		18:08:15	jsarmi	wb	[jsarmi resized some objects ]
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	05/18/2006		18:08:27	jsarmi	START:TextEditing
	05/18/2006		18:09:40	jsarmi	END:TextEditing
	05/18/2006		18:09:40	jsarmi	wb	[jsarmi created a textbox ]
	05/18/2006		18:09:46	jsarmi	wb	[jsarmi changed layout ]
955	05/18/2006	18:10:00	18:10:21	jsarmi	chat	Team C, here are some thoughts about your last ession.	[1] Reference to whiteboard (ImageStuff-1147393216750-15165386)
956	05/18/2006		18:10:41	jsarmi	leaves	leaves the room
957	05/18/2006		18:32:26	Gerry	joins	joins the room
958	05/18/2006		18:34:26	tutor	joins	joins the room
	05/18/2006		18:35:01	Gerry	START:TextEditing
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959	05/18/2006		18:35:15	Gerry	leaves	leaves the room
960	05/18/2006		18:53:05	Cynthia	joins	joins the room
961	05/18/2006		18:56:56	Jason	joins	joins the room
962	05/18/2006		18:58:43	qwertyuiop	joins	joins the room
963	05/18/2006		18:59:18	tutor	leaves	leaves the room
964	05/18/2006	19:00:36	19:00:46	Cynthia	chat	Hi Jason and qwe
965	05/18/2006	19:01:15	19:01:15	qwertyuiop	chat	hi
	05/18/2006	19:01:25	19:01:26	Cynthia		[Cynthia has fully erased the chat message]
	05/18/2006	19:01:27	19:01:52	Cynthia		[Cynthia has fully erased the chat message]
966	05/18/2006	19:01:52	19:01:59	Cynthia	chat	do you all know if others are coming tonight
967	05/18/2006	19:02:10	19:02:12	qwertyuiop	chat	i don't
968	05/18/2006	19:02:08	19:02:17	Jason	chat	ssjnish should be here soon if he can overcome some technical difficulties
969	05/18/2006	19:02:27	19:02:30	Jason	chat	he's here
	05/18/2006	19:02:29	19:02:35	Cynthia		[Cynthia has fully erased the chat message]
970	05/18/2006	19:02:38	19:02:40	Cynthia	chat	yes	[1] Reference to message No. 969 (Text: he's here )
971	05/18/2006		19:03:27	137	joins	joins the room
972	05/18/2006		19:03:41	ssjnish	joins	joins the room
	05/18/2006	19:03:41	19:03:43	Cynthia		[Cynthia has fully erased the chat message]
	05/18/2006		19:04:24	ssjnish	wb	[ssjnish moved some object/s ]
	05/18/2006	19:03:45	19:04:24	Cynthia		[Cynthia has fully erased the chat message]
973	05/18/2006	19:04:44	19:04:50	Cynthia	chat	so glad to see ya'll
974	05/18/2006	19:05:06	19:05:08	Cynthia	chat	have fun
975	05/18/2006	19:05:13	19:05:14	Jason	chat	alright
976	05/18/2006	19:05:14	19:05:18	Jason	chat	should we get started?
977	05/18/2006	19:05:22	19:05:32	qwertyuiop	chat	has everyone read the textbox?
978	05/18/2006	19:05:36	19:05:37	137	chat	Yeah.
979	05/18/2006	19:05:44	19:05:46	ssjnish	chat	yup
	05/18/2006		19:05:51	137	wb	[137 moved some object/s ]
	05/18/2006		19:05:53	137	wb	[137 moved some object/s ]
	05/18/2006		19:05:58	137	wb	[137 resized some objects ]
	05/18/2006		19:06:01	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:03	137	wb	[137 resized some objects ]
	05/18/2006		19:06:05	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:07	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:09	137	wb	[137 resized some objects ]
	05/18/2006		19:06:12	137	wb	[137 resized some objects ]
	05/18/2006		19:06:13	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:16	137	wb	[137 moved some object/s ]
980	05/18/2006	19:05:49	19:06:22	qwertyuiop	chat	do we want to keep thinking about the hexagon thing or start on the hypercube?
	05/18/2006		19:06:25	137	wb	[137 resized some objects ]
	05/18/2006		19:06:26	ssjnish	wb	[ssjnish moved some object/s ]
	05/18/2006		19:06:27	137	wb	[137 resized some objects ]
	05/18/2006		19:06:35	ssjnish	wb	[ssjnish resized some objects ]
	05/18/2006		19:06:41	ssjnish	wb	[ssjnish resized some objects ]
	05/18/2006		19:06:41	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:43	137	wb	[137 moved some object/s ]
981	05/18/2006	19:06:28	19:06:43	Jason	chat	well if we want to start on the hypercube i'll need to first fully understand the concept of the fourth dimension
	05/18/2006		19:06:44	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:47	137	wb	[137 moved some object/s ]
	05/18/2006		19:06:57	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:00	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:02	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:04	137	wb	[137 moved some object/s ]
982	05/18/2006	19:06:56	19:07:05	qwertyuiop	chat	what needs clairifying?
	05/18/2006		19:07:08	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:09	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:10	ssjnish	wb	[ssjnish moved some object/s ]
	05/18/2006		19:07:11	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:12	137	wb	[137 moved some object/s ]
983	05/18/2006	19:07:09	19:07:12	Jason	chat	everything, pretty much
	05/18/2006		19:07:14	137	wb	[137 resized some objects ]
	05/18/2006		19:07:16	137	wb	[137 moved some object/s ]
984	05/18/2006	19:07:17	19:07:19	ssjnish	chat	same here
985	05/18/2006	19:07:17	19:07:30	qwertyuiop	chat	ok... imagine a cube
	05/18/2006		19:07:35	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:39	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:41	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:43	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:46	137	wb	[137 resized some objects ]
	05/18/2006		19:07:47	137	wb	[137 moved some object/s ]
	05/18/2006		19:07:50	137	wb	[137 moved some object/s ]
986	05/18/2006	19:07:31	19:07:56	qwertyuiop	chat	it tessalates in a grid to fill a 2 dimensional plane
	05/18/2006	19:08:00	19:08:03	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/18/2006		19:08:13	137	wb	[137 resized some objects ]
	05/18/2006		19:08:15	137	wb	[137 locked some object/s ]
	05/18/2006		19:08:17	137	wb	[137 locked some object/s ]
	05/18/2006		19:08:20	137	wb	[137 resized some objects ]
	05/18/2006		19:08:22	137	wb	[137 resized some objects ]
	05/18/2006		19:08:27	137	wb	[137 moved some object/s ]
	05/18/2006		19:08:28	137	wb	[137 moved some object/s ]
	05/18/2006		19:08:30	137	wb	[137 moved some object/s ]
	05/18/2006		19:08:33	137	wb	[137 moved some object/s ]
	05/18/2006		19:08:34	137	wb	[137 moved some object/s ]
987	05/18/2006	19:08:03	19:08:39	qwertyuiop	chat	it's made of 4 parts (sides) of one dimension lower than itself (1 dimensional lines)
	05/18/2006		19:08:44	137	wb	[137 moved some object/s ]
	05/18/2006		19:08:48	137	wb	[137 moved some object/s ]
988	05/18/2006	19:08:41	19:08:49	qwertyuiop	chat	does that make sense so far?
	05/18/2006		19:08:52	137	wb	[137 resized some objects ]
	05/18/2006		19:08:54	137	wb	[137 resized some objects ]
	05/18/2006		19:08:59	137	wb	[137 resized some objects ]
989	05/18/2006	19:09:06	19:09:08	137	chat	Yeah.
	05/18/2006		19:09:13	137	wb	[137 resized some objects ]
	05/18/2006		19:09:14	137	wb	[137 resized some objects ]
	05/18/2006		19:09:16	137	wb	[137 resized some objects ]
	05/18/2006		19:09:21	137	wb	[137 changed layout ]
	05/18/2006		19:09:25	137	wb	[137 changed layout ]
	05/18/2006		19:09:26	137	wb	[137 resized some objects ]
	05/18/2006		19:09:39	137	wb	[137 created a scribble ]
	05/18/2006		19:09:41	137	wb	[137 created a scribble ]
990	05/18/2006	19:09:40	19:09:42	Jason	chat	hmm
	05/18/2006		19:09:45	137	wb	[137 created a scribble ]
991	05/18/2006	19:09:13	19:10:01	qwertyuiop	chat	a cube is made of 6 parts one dimension lower than itself (6 2 dimensional faces) and can be arranged to fill a 3 dimensional space
992	05/18/2006	19:09:43	19:10:03	Jason	chat	well u guys can go ahead with the hypercube if you want, i probably wont be able to contribute much though
993	05/18/2006	19:10:14	19:10:20	137	chat	Neither will I.	[1] Reference to message No. 992 (Text: well u guys can go ahead with the hypercube if you want, i probably wont be able to contribute much though )
994	05/18/2006	19:10:30	19:10:36	qwertyuiop	chat	we could just do a cube
995	05/18/2006	19:10:40	19:10:45	Jason	chat	ok, that'll probably be a bit easier :-)
996	05/18/2006	19:10:53	19:11:01	qwertyuiop	chat	i'll start drawing
	05/18/2006		19:11:10	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:11:16	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:11:25	137	wb	[137 moved some object/s ]
	05/18/2006		19:11:26	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:28	137	wb	[137 moved some object/s ]
	05/18/2006		19:11:29	137	wb	[137 moved some object/s ]
	05/18/2006		19:11:33	137	wb	[137 moved some object/s ]
	05/18/2006		19:11:35	137	wb	[137 moved some object/s ]
	05/18/2006		19:11:36	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:44	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:50	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:53	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:56	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:58	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:11:59	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:04	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:06	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:07	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:19	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:22	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:27	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:30	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:35	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:37	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:42	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:43	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:48	qwertyuiop	wb	[qwertyuiop created a line ]
	05/18/2006		19:12:54	qwertyuiop	wb	[qwertyuiop resized some objects ]
997	05/18/2006	19:12:57	19:13:10	qwertyuiop	chat	there's a cube on a 3-D graph
	05/18/2006		19:13:46	137	wb	[137 changed layout ]
	05/18/2006		19:13:56	137	wb	[137 created a line ]
	05/18/2006		19:14:02	137	wb	[137 resized some objects ]
	05/18/2006		19:14:04	137	wb	[137 moved some object/s ]
	05/18/2006		19:14:05	137	wb	[137 moved some object/s ]
998	05/18/2006	19:13:18	19:14:09	qwertyuiop	chat	on the first problem, the pattern continued in 2 dimensions (up and left) so this should continue in 3 (along each axis)
999	05/18/2006	19:14:14	19:14:18	qwertyuiop	chat	does that make sense?
1000	05/18/2006	19:14:28	19:14:31	Jason	chat	yea
1001	05/18/2006	19:14:30	19:14:32	137	chat	Yes.
1002	05/18/2006	19:14:42	19:14:58	qwertyuiop	chat	i'm not sure how to draw that in an inteligable way...
	05/18/2006		19:15:15	137	wb	[137 created a line ]
	05/18/2006		19:15:17	137	wb	[137 created a line ]
	05/18/2006		19:15:18	137	wb	[137 created a line ]
	05/18/2006		19:15:20	137	wb	[137 created a line ]
	05/18/2006		19:15:22	137	wb	[137 created a line ]
	05/18/2006		19:15:24	137	wb	[137 created a line ]
	05/18/2006		19:15:26	137	wb	[137 created a line ]
	05/18/2006		19:15:27	137	wb	[137 created a line ]
	05/18/2006		19:15:28	137	wb	[137 created a line ]
1003	05/18/2006	19:15:38	19:15:42	137	chat	That kinda works...
1004	05/18/2006	19:15:49	19:16:34	qwertyuiop	chat	i wonder if the first method of assigning each square (or cube) to certain vertecies (or mabey faces) will work
	05/18/2006	19:18:09	19:18:10	qwertyuiop		[qwertyuiop has fully erased the chat message]
1005	05/18/2006	19:18:09	19:18:12	Jason	chat	hmm
1006	05/18/2006	19:18:11	19:18:23	qwertyuiop	chat	I have an idea that might make this easier-one min.
1007	05/18/2006	19:18:13	19:18:38	Jason	chat	since this has three dimensions maybe it would be necessary to derive the formula from something relating to cubes (as in ^3, to the third power)
1008	05/18/2006	19:18:42	19:18:52	Jason	chat	so if there is a "height" of 2
1009	05/18/2006	19:18:55	19:18:59	Jason	chat	then there would be 4 squares
1010	05/18/2006	19:19:11	19:19:25	Jason	chat	a height of 3 -- er, i cant visualize that too well in my head
	05/18/2006	19:19:39	19:19:40	qwertyuiop		[qwertyuiop has fully erased the chat message]
1011	05/18/2006	19:19:41	19:19:52	qwertyuiop	chat	Do you know of "Wings3D"?
1012	05/18/2006	19:20:03	19:20:04	137	chat	No...
1013	05/18/2006	19:20:11	19:20:15	ssjnish	chat	isnt that a design program
1014	05/18/2006	19:20:17	19:20:19	ssjnish	chat	for airplanes
1015	05/18/2006	19:20:20	19:20:22	ssjnish	chat	or sumthin
1016	05/18/2006	19:20:09	19:20:31	137	chat	I think we should just look at it in 3 groups of parallel lines like last time.
1017	05/18/2006	19:20:07	19:20:46	qwertyuiop	chat	It's a simple 3D modler I have. It might be easier to visualize that way. I'll paste something
1018	05/18/2006	19:21:17	19:21:17	Jason	chat	ok
	05/18/2006		19:21:18	qwertyuiop	wb	[qwertyuiop created a image ]
	05/18/2006		19:21:22	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/18/2006		19:21:25	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/18/2006	19:21:28	19:21:28	Jason		[Jason has fully erased the chat message]
1019	05/18/2006	19:21:34	19:21:37	Jason	chat	alright
	05/18/2006		19:21:37	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/18/2006		19:21:39	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006	19:21:39	19:21:39	Jason		[Jason has fully erased the chat message]
	05/18/2006		19:21:41	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:21:43	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:21:44	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
1020	05/18/2006	19:21:40	19:21:44	Jason	chat	should there be another cube there or no
	05/18/2006		19:21:47	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
1021	05/18/2006	19:21:45	19:21:49	Jason	chat	so that the height will always be 2
	05/18/2006		19:21:55	qwertyuiop	wb	[qwertyuiop moved some object/s ]
1022	05/18/2006	19:21:51	19:21:56	Jason	chat	no matter which axis ur looking from
	05/18/2006	19:22:12	19:22:14	qwertyuiop		[qwertyuiop has fully erased the chat message]
1023	05/18/2006	19:22:20	19:22:21	qwertyuiop	chat	hm?	[1] Reference to message No. 1020 (Text: should there be another cube there or no )
1024	05/18/2006	19:22:25	19:22:33	137	chat	As in fill it so there is a big cube?
	05/18/2006	19:22:55	19:23:02	Jason		[Jason has fully erased the chat message]
1025	05/18/2006	19:23:02	19:23:03	Jason	chat	oh wait nvm
1026	05/18/2006	19:23:04	19:23:07	Jason	chat	there's 4 cubes there
1027	05/18/2006	19:23:08	19:23:12	Jason	chat	heh, i miscounted :-)
1028	05/18/2006	19:25:50	19:26:05	qwertyuiop	chat	so this would be a continuation of it...
1029	05/18/2006	19:26:21	19:26:22	Jason	chat	yeah
	05/18/2006	19:26:22	19:26:23	Jason		[Jason has fully erased the chat message]
1030	05/18/2006	19:26:25	19:26:29	Jason	chat	can you get the next level for these cubes
1031	05/18/2006	19:26:31	19:26:38	Jason	chat	then we might be able to start seeing a pattern
	05/18/2006		19:26:40	qwertyuiop	wb	[qwertyuiop created a image ]
	05/18/2006		19:26:43	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/18/2006		19:26:48	qwertyuiop	wb	[qwertyuiop resized some objects ]
	05/18/2006		19:26:50	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/18/2006		19:26:59	qwertyuiop	wb	[qwertyuiop resized some objects ]
1032	05/18/2006	19:27:13	19:27:20	qwertyuiop	chat	I think that's n=4.
1033	05/18/2006	19:27:14	19:27:34	137	chat	The number of cubes is the sum of n consecutive triangular numbers...
1034	05/18/2006	19:27:45	19:27:49	qwertyuiop	chat	triangular?	[1] Reference to message No. 1033 (Text: The number of cubes is the sum of n consecutive triangular numbers... )
1035	05/18/2006		19:27:49	qwertyuiop	chat
1036	05/18/2006	19:27:56	19:27:57	Jason	chat	woah
1037	05/18/2006	19:28:10	19:28:15	Jason	chat	(reacting to the diagram i mean)
1038	05/18/2006	19:28:06	19:28:22	137	chat	Numbers that are the sum of counstecutibe numbers starting from 1...	[1] Reference to message No. 1034 (Text: triangular? )
	05/18/2006	19:28:28	19:28:37	Jason		[Jason has fully erased the chat message]
1039	05/18/2006	19:28:37	19:28:43	Jason	chat	how many cubes are in that diagram that you just posted?
1040	05/18/2006	19:28:34	19:28:45	qwertyuiop	chat	counstecutible?	[1] Reference to message No. 1038 (Text: Numbers that are the sum of counstecutibe numbers starting from 1... )
1041	05/18/2006	19:28:52	19:28:57	137	chat	consecutive.
	05/18/2006	19:29:01	19:29:03	137		[137 has fully erased the chat message]
1042	05/18/2006	19:29:06	19:29:07	137	chat	Sry.
1043	05/18/2006	19:29:07	19:29:09	qwertyuiop	chat	1 min	[1] Reference to message No. 1039 (Text: how many cubes are in that diagram that you just posted? )
1044	05/18/2006	19:29:27	19:29:34	137	chat	10+6+3+1=20.
1045	05/18/2006	19:29:38	19:29:40	Jason	chat	1, 4, 20, ...
	05/18/2006		19:29:46	137	wb	[137 moved some object/s ]
	05/18/2006	19:29:45	19:29:48	Jason		[Jason has fully erased the chat message]
1046	05/18/2006	19:29:48	19:29:53	137	chat	YOu missed the 3-sided ones.
1047	05/18/2006	19:29:49	19:29:53	Jason	chat	so multiply by one more number each time?
1048	05/18/2006	19:29:54	19:29:56	Jason	chat	1*4 = 4
1049	05/18/2006	19:29:57	19:30:01	Jason	chat	4*5 = 20
1050	05/18/2006	19:30:02	19:30:09	Jason	chat	projected: 5*6 = 30?
1051	05/18/2006	19:30:13	19:30:18	Jason	chat	sry 20*6 = 120?
1052	05/18/2006	19:30:10	19:30:29	137	chat	Side length 3 should have 6+3+1...
1053	05/18/2006	19:30:32	19:30:36	137	chat	So 1,4,10,20.
1054	05/18/2006	19:30:46	19:30:50	qwertyuiop	chat	counting...	[1] Reference to message No. 1053 (Text: So 1,4,10,20. )
1055	05/18/2006	19:30:57	19:31:11	Jason	chat	isn't it 1, 4, 20, 120 ... not 10 before 20?	[1] Reference to message No. 1053 (Text: So 1,4,10,20. )
1056	05/18/2006	19:31:18	19:31:22	qwertyuiop	chat	n=4 is 20
1057	05/18/2006	19:31:18	19:31:27	137	chat	Those are side lengths 1,2, and 4.
	05/18/2006	19:31:27	19:31:28	137		[137 has fully erased the chat message]
1058	05/18/2006	19:31:28	19:31:31	137	chat	You missed n=3.
1059	05/18/2006	19:32:02	19:32:02	137	chat	You missed n=3
	05/18/2006		19:32:03	137	START:TextEditing
	05/18/2006		19:32:06	137	END:TextEditing
1060	05/18/2006	19:32:18	19:32:19	Jason	chat	oh ok
1061	05/18/2006	19:32:20	19:32:25	Jason	chat	then i guess my pattern is void then
	05/18/2006	19:32:26	19:32:51	Jason		[Jason has fully erased the chat message]
1062	05/18/2006		19:32:52	Jason	chat
1063	05/18/2006	19:32:53	19:32:54	Jason	chat	oops sry
1064	05/18/2006	19:32:56	19:33:05	qwertyuiop	chat	yes, that's right	[1] Reference to message No. 1033 (Text: The number of cubes is the sum of n consecutive triangular numbers... )
1065	05/18/2006	19:32:55	19:33:07	Jason	chat	i was going to say that it seems the change in the change in the change is constant
1066	05/18/2006	19:33:08	19:33:16	Jason	chat	so the formula should include something to the third power
1067	05/18/2006	19:33:19	19:33:20	Jason	chat	3x change	[1] Reference to message No. 1065 (Text: i was going to say that it seems the change in the change in the change is constant )
1068	05/18/2006	19:33:28	19:33:43	137	chat	It should be... um... 1+3+...n(n+1)/2
1069	05/18/2006	19:33:59	19:33:59	Jason	chat	oh
1070	05/18/2006	19:33:47	19:34:04	137	chat	so f(x)=f(x-1)+x(x+1)/2
1071	05/18/2006	19:34:29	19:34:34	Jason	chat	have you checked that for sure
1072	05/18/2006	19:34:35	19:34:35	Jason	chat	?
1073	05/18/2006	19:34:41	19:34:44	137	chat	No...
1074	05/18/2006	19:34:45	19:34:48	137	chat	I'm trying right now.
1075	05/18/2006	19:34:59	19:35:03	137	chat	It works so far.
1076	05/18/2006	19:35:53	19:36:02	137	chat	Am I lagging or is noone posting?
1077	05/18/2006	19:36:16	19:36:19	qwertyuiop	chat	no one is posting
1078	05/18/2006	19:36:20	19:36:33	qwertyuiop	chat	i'll type the equation with the others
	05/18/2006		19:36:36	qwertyuiop	START:TextEditing
	05/18/2006		19:37:25	qwertyuiop	END:TextEditing
	05/18/2006		19:37:25	qwertyuiop	wb	[qwertyuiop changed the text to: SIDES: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon w/ triangles 6n^2 cubes: f(n)=f(n-1)+x(X+1)/2 ]
	05/18/2006		19:37:38	137	START:TextEditing
	05/18/2006		19:37:42	137	END:TextEditing
	05/18/2006		19:37:42	137	wb	[137 changed the text to: SIDES: square: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon w/ triangles 6n^2 cubes: f(n)=f(n-1)+x(X+1)/2 ]
	05/18/2006	19:37:44	19:37:49	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/18/2006		19:37:58	137	START:TextEditing
	05/18/2006		19:37:58	Jason	START:TextEditing
1079	05/18/2006	19:37:50	19:38:01	qwertyuiop	chat	Shall we do number of verticies now?
	05/18/2006		19:38:04	Jason	END:TextEditing
	05/18/2006		19:38:04	Jason	wb	[Jason changed the text to: SIDES: square: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon w/ triangles 6n^2 CUBES: f(n)=f(n-1)+x(X+1)/2 ]
	05/18/2006		19:38:05	137	END:TextEditing
	05/18/2006		19:38:05	137	wb	[137 changed the text to: SIDES: square: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon w/ triangles 6n^2 cubes in pyramid shape: f(n)=f(n-1)+x(X+1)/2 ]
1080	05/18/2006	19:38:08	19:38:15	137	chat	Number of edges?
1081	05/18/2006	19:38:11	19:38:17	Jason	chat	ok, the equation seems correct to me
	05/18/2006	19:38:18	19:38:23	Jason		[Jason has fully erased the chat message]
1082	05/18/2006	19:38:28	19:38:37	Jason	chat	except, isnt it recursive
1083	05/18/2006	19:38:22	19:38:39	qwertyuiop	chat	yeah, that's what i meant. sry	[1] Reference to message No. 1080 (Text: Number of edges? )
1084	05/18/2006	19:38:39	19:38:44	Jason	chat	and there is no f(0)
1085	05/18/2006	19:38:46	19:38:56	Jason	chat	(if you plug in f=1)
	05/18/2006		19:39:16	qwertyuiop	START:TextEditing
	05/18/2006		19:39:20	qwertyuiop	END:TextEditing
	05/18/2006		19:39:20	qwertyuiop	wb	[qwertyuiop changed the text to: SIDES: square: N(N+3) diamond: (n^2+(n-1)^2)*2+n*3-2 hexagon w/ triangles: 9n(n+1)-6n POLYHEDRA: square n(n-1)/2 diamond: n^2+(n-1)^2 hexagon w/ triangles 6n^2 cubes in pyramid shape: f(n)=f(n-1)+n(n+1)/2 ]
	05/18/2006	19:39:35	19:39:38	137		[137 has fully erased the chat message]
1086	05/18/2006	19:39:38	19:39:41	137	chat	f(0)=0?
1087	05/18/2006	19:39:52	19:39:57	Jason	chat	oh yeah, i forgot
1088	05/18/2006	19:39:57	19:39:59	Jason	chat	heh
	05/18/2006	19:40:58	19:41:00	qwertyuiop		[qwertyuiop has fully erased the chat message]
1089	05/18/2006	19:41:02	19:41:05	qwertyuiop	chat	edges?
1090	05/18/2006	19:41:07	19:41:25	qwertyuiop	chat	or do we want to put that function in a different form?
1091	05/18/2006	19:41:33	19:41:35	Jason	chat	i think that form is good
	05/18/2006	19:41:35	19:41:36	137		[137 has fully erased the chat message]
1092	05/18/2006	19:41:36	19:41:49	Jason	chat	like we said earlier, recursiveness=easy to track pattern of growth
1093	05/18/2006	19:41:49	19:41:52	137	chat	Wouldn't this work?	[1] Reference to message No. 1016 (Text: I think we should just look at it in 3 groups of parallel lines like last time. )
1094	05/18/2006	19:41:57	19:42:06	137	chat	Each cube has 2 pointing each direction.
1095	05/18/2006	19:42:10	19:42:11	137	chat	Wait.
1096	05/18/2006	19:42:12	19:42:13	137	chat	4.
1097	05/18/2006	19:42:26	19:42:28	qwertyuiop	chat	i think so	[1] Reference to message No. 1093 (Text: Wouldn't this work? )
1098	05/18/2006	19:43:04	19:43:38	qwertyuiop	chat	the overlap is different depending on wether the cube is on the outside of the shape or on the inside
1099	05/18/2006	19:43:47	19:43:48	137	chat	?	[1] Reference to message No. 1098 (Text: the overlap is different depending on wether the cube is on the outside of the shape or on the inside )
1100	05/18/2006	19:43:57	19:43:57	137	chat	Oh.
	05/18/2006	19:43:58	19:43:59	137		[137 has fully erased the chat message]
1101	05/18/2006	19:44:00	19:44:01	137	chat	I see.
1102	05/18/2006	19:43:57	19:45:02	qwertyuiop	chat	Take the cube at the very top. 4 of its edges overlap with other cubes. Take the cube just below it. Only 1 of its edges doesn't overlap with any other cube.	[1] Reference to message No. 1099 (Text: ? )
1103	05/18/2006	19:45:38	19:45:54	qwertyuiop	chat	that would stil have to acount for the overlap that way	[1] Reference to message No. 1093 (Text: Wouldn't this work? )
1104	05/18/2006	19:45:36	19:46:03	Jason	chat	so are you thinking about a function that first takes into account how many verticies there are total, including overlaps, and then subtracting how many overlaps there are based on another formula
1105	05/18/2006	19:46:18	19:46:42	qwertyuiop	chat	or the sum of different formulas for cubes in different places	[1] Reference to message No. 1104 (Text: so are you thinking about a function that first takes into account how many verticies there are total, including overlaps, and then subtracting how many overlaps there are based on another formula )
	05/18/2006	19:46:39	19:46:43	137		[137 has fully erased the chat message]
1106	05/18/2006	19:47:44	19:47:48	Jason	chat	that would work too i guess
1107	05/18/2006	19:47:14	19:48:21	qwertyuiop	chat	an idea: Each cube is assigned to 3 edges. Then add the edges on the diagonalish face.
1108	05/18/2006	19:48:36	19:48:44	qwertyuiop	chat	does that make sense?
	05/18/2006	19:48:49	19:48:54	137		[137 has fully erased the chat message]
1109	05/18/2006	19:48:55	19:48:58	137	chat	Not really...	[1] Reference to message No. 1105 (Text: or the sum of different formulas for cubes in different places )
1110	05/18/2006	19:49:03	19:49:13	qwertyuiop	chat	let me think how to explain it...
1111	05/18/2006	19:49:11	19:49:13	Jason	chat	well some would be the same	[1] Reference to message No. 1109 (Text: Not really... )
	05/18/2006		19:51:17	qwertyuiop	wb	[qwertyuiop created a image ]
	05/18/2006		19:51:28	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/18/2006		19:51:33	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
1112	05/18/2006	19:51:35	19:51:36	qwertyuiop	chat	oops
	05/18/2006		19:52:15	qwertyuiop	wb	[qwertyuiop created a image ]
1113	05/18/2006	19:52:23	19:52:44	qwertyuiop	chat	see those 3 highlighted edges?	[1] Reference to whiteboard (ImageStuff-1147996557562-1133717)
1114	05/18/2006	19:53:32	19:53:32	Jason	chat	yeah
1115	05/18/2006	19:53:34	19:53:37	Jason	chat	theyre in red
	05/18/2006	19:53:37	19:53:38	Jason		[Jason has fully erased the chat message]
1116	05/18/2006	19:53:38	19:54:09	qwertyuiop	chat	those would be the edges assigned to that cube (the cube at the bottom corner)
1117	05/18/2006	19:54:10	19:54:15	qwertyuiop	chat	still make sense?
1118	05/18/2006	19:54:41	19:54:42	Jason	chat	so far, yesh
1119	05/18/2006	19:54:43	19:54:43	Jason	chat	yes*
	05/18/2006		19:55:09	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:55:10	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:55:10	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
1120	05/18/2006	19:54:34	19:55:13	qwertyuiop	chat	oops	[1] Reference to whiteboard (ImageStuff-1147996557562-1133717)
	05/18/2006		19:55:19	qwertyuiop	wb	[qwertyuiop moved some object/s ]
	05/18/2006		19:55:20	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006		19:55:26	qwertyuiop	wb	[qwertyuiop created a image ]
1121	05/18/2006	19:55:30	19:56:06	qwertyuiop	chat	Now I've highlighted the edges corisponding to the cube just above that one.	[1] Reference to whiteboard (ImageStuff-1147996750218-5853817)
1122	05/18/2006	19:56:52	19:56:52	Jason	chat	ok
	05/18/2006		19:57:04	qwertyuiop	wb	[qwertyuiop deleted some object/s ]
	05/18/2006	19:57:08	19:57:10	137		[137 has fully erased the chat message]
	05/18/2006		19:57:56	qwertyuiop	wb	[qwertyuiop created a image ]
1123	05/18/2006	19:57:06	19:57:59	qwertyuiop	chat	you could assign each cube to 3 lines that way and get all the lines except these
1124	05/18/2006	19:58:06	19:58:24	qwertyuiop	chat	you would need to add in a different equation for those
1125	05/18/2006	19:58:27	19:58:55	qwertyuiop	chat	all together it would account for overlap, as each cubes 3 lines doesn't overlap with any other
1126	05/18/2006	19:59:30	19:59:30	137	chat	?	[1] Reference to message No. 1123 (Text: you could assign each cube to 3 lines that way and get all the lines except these )
1127	05/18/2006	19:59:21	19:59:32	qwertyuiop	chat	137 and ssjnish?
1128	05/18/2006	19:59:51	19:59:53	Jason	chat	i think this makes sense
1129	05/18/2006	19:59:44	20:00:00	qwertyuiop	chat	the assigning or the "except these" part
1130	05/18/2006	20:00:06	20:00:07	qwertyuiop	chat	?
1131	05/18/2006	19:59:57	20:00:09	Jason	chat	at first i thought there was going to be some overlap in the front of the cube (this current view)
1132	05/18/2006	20:00:15	20:00:17	Jason	chat	i think i get it
	05/18/2006	20:00:23	20:00:25	qwertyuiop		[qwertyuiop has fully erased the chat message]
1133	05/18/2006	20:00:25	20:00:33	qwertyuiop	chat	Which part doesn't make sense?	[1] Reference to message No. 1126 (Text: ? )
	05/18/2006	20:00:41	20:00:45	137		[137 has fully erased the chat message]
1134	05/18/2006	20:00:45	20:00:51	137	chat	Which parts aren't accounted for?
1135	05/18/2006	20:00:55	20:01:09	qwertyuiop	chat	the ones highlighted in the current picture
1136	05/18/2006	20:01:13	20:01:15	137	chat	THe red?
1137	05/18/2006	20:01:17	20:01:18	qwertyuiop	chat	yes
1138	05/18/2006	20:01:21	20:01:23	137	chat	Oh.
1139	05/18/2006	20:01:24	20:01:28	137	chat	Howbout the yellow?
	05/18/2006	20:01:28	20:01:31	qwertyuiop		[qwertyuiop has fully erased the chat message]
1140	05/18/2006	20:01:33	20:01:44	qwertyuiop	chat	that was a mistake. It should be red.
1141	05/18/2006	20:01:43	20:01:44	ssjnish	chat	i g2g
1142	05/18/2006	20:01:45	20:01:46	ssjnish	chat	bye
1143	05/18/2006		20:01:48	ssjnish	leaves	leaves the room
1144	05/18/2006	20:01:48	20:01:49	qwertyuiop	chat	bye
1145	05/18/2006	20:01:57	20:01:59	137	chat	Oh.
	05/18/2006		20:02:23	qwertyuiop	wb	[qwertyuiop moved some object/s ]
1146	05/18/2006	20:02:24	20:02:49	qwertyuiop	chat	so the first part of the equation would be 3 times the number of cubes
1147	05/18/2006	20:02:54	20:03:12	qwertyuiop	chat	I cn't think how to get the other part, though.
	05/18/2006		20:03:33	137	wb	[137 created a line ]
1148	05/18/2006	20:02:46	20:03:34	Cynthia	chat	excuse me, i hate to interrupt, but does anyone else need to leave because we wanted to talk to you all a bit about the project overall
1149	05/18/2006	20:03:41	20:03:53	137	chat	I need to go at 5:10...
1150	05/18/2006	20:03:59	20:04:03	Jason	chat	i can stay for as long as necessary
	05/18/2006	20:03:54	20:04:07	Cynthia		[Cynthia has fully erased the chat message]
1151	05/18/2006	20:03:57	20:04:09	qwertyuiop	chat	I still have homework to do...	[1] Reference to message No. 1148 (Text: excuse me, i hate to interrupt, but does anyone else need to leave because we wanted to talk to you all a bit about the project overall )
1152	05/18/2006	20:04:18	20:04:38	Cynthia	chat	so maybe we should talk and then folks that want to keep working can after? How's that?
	05/18/2006		20:04:43	137	wb	[137 changed layout ]
1153	05/18/2006	20:04:45	20:04:45	137	chat	Sure.
1154	05/18/2006	20:04:46	20:04:46	Jason	chat	sure
1155	05/18/2006	20:04:46	20:04:47	qwertyuiop	chat	ok
	05/18/2006		20:04:50	137	wb	[137 changed layout ]
	05/18/2006		20:04:55	137	wb	[137 created a line ]
	05/18/2006		20:04:57	137	wb	[137 created a line ]
	05/18/2006		20:05:00	137	wb	[137 created a line ]
	05/18/2006		20:05:04	137	wb	[137 created a line ]
	05/18/2006	20:05:10	20:05:13	Cynthia		[Cynthia has fully erased the chat message]
1156	05/18/2006	20:05:14	20:05:19	Cynthia	chat	http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html
	05/18/2006	20:05:35	20:05:37	Jason		[Jason has fully erased the chat message]
1157	05/18/2006	20:05:33	20:05:44	Cynthia	chat	ignore that for now, but that's a great cube building site
1158	05/18/2006	20:05:55	20:05:56	Jason	chat	thanks :-)	[1] Reference to message No. 1156 (Text: http://www.fi.uu.nl/toepassingen/02015/toepassing_wisweb.en.html )
1159	05/18/2006	20:05:48	20:06:02	Cynthia	chat	So here's the first question: Would you like to continue working with your team after tonight?
	05/18/2006	20:06:02	20:06:05	137		[137 has fully erased the chat message]
1160	05/18/2006	20:06:17	20:06:20	Jason	chat	sure, i would love to
1161	05/18/2006	20:06:23	20:06:26	137	chat	Same.	[1] Reference to message No. 1160 (Text: sure, i would love to )
1162	05/18/2006	20:06:29	20:06:30	qwertyuiop	chat	i would
1163	05/18/2006	20:06:38	20:06:43	Cynthia	chat	So What did you notice during these session that seems most interesting to you as far as doing math in a group?
1164	05/18/2006	20:07:03	20:07:10	Jason	chat	the fact that we could explore our own questions as a group
	05/18/2006		20:07:16	137	wb	[137 created a line ]
	05/18/2006		20:07:22	137	wb	[137 created a line ]
	05/18/2006		20:07:25	137	wb	[137 created a line ]
1165	05/18/2006	20:07:39	20:07:43	qwertyuiop	chat	thinking...
1166	05/18/2006	20:07:57	20:08:04	137	chat	We can help each other...
1167	05/18/2006	20:08:41	20:09:15	qwertyuiop	chat	Usually when I work in a group, I don't do much. Here, I had a lot more to say.
	05/18/2006	20:08:32	20:09:36	Cynthia		[Cynthia has fully erased the chat message]
1168	05/18/2006	20:09:36	20:09:38	Cynthia	chat	What did you do well in these chats that help you work as a team?
	05/18/2006	20:09:36	20:09:41	Jason		[Jason has fully erased the chat message]
1169	05/18/2006		20:09:48	137	chat
	05/18/2006	20:09:48	20:09:54	Jason		[Jason has fully erased the chat message]
1170	05/18/2006	20:09:54	20:09:59	Jason	chat	helping to find formulas, mostly	[1] Reference to message No. 1168 (Text: What did you do well in these chats that help you work as a team? )
	05/18/2006	20:09:57	20:10:02	qwertyuiop		[qwertyuiop has fully erased the chat message]
1171	05/18/2006	20:09:59	20:10:04	137	chat	I have to go...
1172	05/18/2006	20:10:08	20:10:13	Cynthia	chat	see ya, and thanks
1173	05/18/2006		20:10:21	137	leaves	leaves the room
1174	05/18/2006	20:10:13	20:10:29	qwertyuiop	chat	I found the ability to paste pictures very usefull.	[1] Reference to message No. 1168 (Text: What did you do well in these chats that help you work as a team? )
1175	05/18/2006	20:10:57	20:11:01	Cynthia	chat	So was it fun?
1176	05/18/2006	20:11:10	20:11:13	Cynthia	chat	doing math here?
1177	05/18/2006	20:11:10	20:11:14	qwertyuiop	chat	Yes.
1178	05/18/2006	20:11:12	20:11:15	Jason	chat	definitely
1179	05/18/2006	20:11:19	20:11:30	Cynthia	chat	What aspects were the most fun?
1180	05/18/2006	20:11:43	20:11:47	Jason	chat	just the idea of working with math online i guess
1181	05/18/2006	20:11:56	20:11:58	Jason	chat	working online with others
	05/18/2006	20:11:57	20:11:59	qwertyuiop		[qwertyuiop has fully erased the chat message]
	05/18/2006	20:12:03	20:12:04	qwertyuiop		[qwertyuiop has fully erased the chat message]
1182	05/18/2006	20:12:11	20:12:32	qwertyuiop	chat	Putting different people's ideas together and thinking visually.
1183	05/18/2006	20:12:40	20:12:42	Cynthia	chat	Do you have any suggestions for the programmers who are developing this chat system? Are there things you like a lot in it? Confusing features? Things you would add?
1184	05/18/2006	20:13:20	20:13:36	Jason	chat	well i would like the ability to post links to other Web sites, but this is a minor thing and the overall experience is not affected by it
1185	05/18/2006	20:14:08	20:14:16	qwertyuiop	chat	I can't think of anything.
1186	05/18/2006	20:14:48	20:14:58	Cynthia	chat	great Well, thank you very much for participating in the VMT Spring Fest. As we said at the beginning, we offered these sessions to give students the chance to do interesting math in teams via the Internet. A number of groups have participated and engaged actively in discussing everyone's ideas, formulating interesting math questions and exploring them
1187	05/18/2006	20:15:10	20:15:13	Jason	chat	what about the prizes? :-)
1188	05/18/2006	20:15:27	20:15:28	Cynthia	chat	We are going to review all of these sessions and select the most collaborative "Virtual Math Teams." We will be in touch with your teachers to inform you of the results. Do you have any questions?
1189	05/18/2006	20:15:42	20:15:43	qwertyuiop	chat	no
1190	05/18/2006	20:15:47	20:15:52	Jason	chat	when will these results be announced?
1191	05/18/2006	20:15:49	20:16:02	Cynthia	chat	So be sure to look at that link that i posted. It's a nice applet
	05/18/2006	20:16:05	20:16:33	Cynthia		[Cynthia has fully erased the chat message]
1192	05/18/2006	20:16:35	20:16:49	Cynthia	chat	so thanks a lot. I really enjoyed listening to you guys do math.
1193	05/18/2006	20:17:03	20:17:09	qwertyuiop	chat	okay. bye.
1194	05/18/2006		20:17:12	qwertyuiop	leaves	leaves the room
1195	05/18/2006	20:17:14	20:17:18	Cynthia	chat	bye
1196	05/18/2006	20:17:29	20:17:30	Jason	chat	goodbye
1197	05/18/2006	20:17:30	20:17:38	Cynthia	chat	I'm not sure	[1] Reference to message No. 1190 (Text: when will these results be announced? )
1198	05/18/2006	20:17:43	20:18:00	Cynthia	chat	But they'll let your teacher know soon, I'm sure
1199	05/18/2006	20:18:08	20:18:09	Jason	chat	ok, thank you
1200	05/18/2006	20:18:10	20:18:10	Jason	chat	bye
1201	05/18/2006		20:18:12	Jason	leaves	leaves the room
1202	05/18/2006		20:18:21	Cynthia	leaves	leaves the room