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?
(In reply to easy way to 7
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