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Dividing a donut (Posted on 2005-04-23) Difficulty: 3 of 5
I want to divide the surface of a donut into as many different regions as possible. The regions can be any shape, as long as they are each in one piece. Each region must touch each of the other regions (touching on a corner doesn't count). How many regions can I make?

See The Solution Submitted by Tristan    
Rating: 4.0000 (5 votes)

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Solution | Comment 3 of 34 |
  • Read carefully:  divide MANY DIFFERENT REGIONS as possible.
  • A clear cut: one could create as many regions as possible.  How many regions are considered as many?  This depends upon the size of the cake.

Edited on April 23, 2005, 3:41 pm

Edited on April 23, 2005, 3:43 pm
  Posted by Jonathan Chang on 2005-04-23 15:37:56

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