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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.)
Puzzle Answer Comment 17 of 17 |
The required number of regions is:
  nm(m-1)
 --------------  + 2
       2

Edited on June 26, 2022, 1:26 am
  Posted by K Sengupta on 2022-06-26 01:25:42

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