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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: ( Back to comment list | You must be logged in to post comments.)
re(2): an equation | Comment 5 of 16 |
(In reply to re: an equation by Richard)

I see my recursion formula is wrong.  When a 4th square is added, some of the border regions escape being split (ones directly under the newly added corners).
  Posted by Charlie on 2006-09-06 16:11:28

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