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Cutting planes with polygons (Posted on 2006-09-06) Difficulty: 3 of 5
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
re: Solution - last paragraph - and irregular polygonsJLo2006-09-21 13:16:23
Solution - last paragraph - and irregular polygonsbrianjn2006-09-21 02:15:13
re(3): Who dares: Not Ibrianjn2006-09-12 01:12:07
re(2): Who dares: Not Ibrianjn2006-09-11 23:32:55
re: Who dares: Not IJer2006-09-11 11:20:23
QuestionWho dares: What if we have general polygons?JLo2006-09-09 07:20:52
Speculationbrianjn2006-09-07 20:58:16
re(2): I agree. Full explanation. Attempted Proofbrianjn2006-09-07 20:47:09
Observationsbrianjn2006-09-07 20:05:27
re: I agree. Full explanation.JLo2006-09-07 13:24:35
SolutionI agree. Full explanation.Jer2006-09-07 11:46:34
re(2): an equationCharlie2006-09-06 16:11:28
re: an equationRichard2006-09-06 15:54:49
Solutionan equationDej Mar2006-09-06 15:08:19
re: First speculationCharlie2006-09-06 14:20:26
First speculationvswitchs2006-09-06 13:24:27
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