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Cutting planes with polygons (Posted on 2006-09-06)

Into how many regions can you partition the plane with m n-sided regular polygons?

For example, with two squares you can achieve up to 10 regions by choosing the right size and position of your squares.

See The Solution Submitted by JLo

Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2022-06-26 01:25:42
re: Solution - last paragraph - and irregular polygons	JLo	2006-09-21 13:16:23
Solution - last paragraph - and irregular polygons	brianjn	2006-09-21 02:15:13
re(3): Who dares: Not I	brianjn	2006-09-12 01:12:07
re(2): Who dares: Not I	brianjn	2006-09-11 23:32:55
re: Who dares: Not I	Jer	2006-09-11 11:20:23
Who dares: What if we have general polygons?	JLo	2006-09-09 07:20:52
Speculation	brianjn	2006-09-07 20:58:16
re(2): I agree. Full explanation. Attempted Proof	brianjn	2006-09-07 20:47:09
Observations	brianjn	2006-09-07 20:05:27
re: I agree. Full explanation.	JLo	2006-09-07 13:24:35
I agree. Full explanation.	Jer	2006-09-07 11:46:34
re(2): an equation	Charlie	2006-09-06 16:11:28
re: an equation	Richard	2006-09-06 15:54:49
an equation	Dej Mar	2006-09-06 15:08:19
re: First speculation	Charlie	2006-09-06 14:20:26
First speculation	vswitchs	2006-09-06 13:24:27

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