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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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re: easy way to 7 | Comment 26 of 34 |
(In reply to easy way to 7 by armando)

Sorry armando I fear it doesn't work.

After the first 3 cuts you would have the following


Now cutting the upper , outer part would give


The problem is that if 5 touches 2 (touching on a corner doesn't count), then 7 doesn't touch 1 and the other way around. 

  Posted by Hugo on 2005-04-26 08:13:02
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