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
A seond step? by Hugo)
This may work and it would give 8 regions..
Use Armando's solution to get 4 parts.
One parts surface can be unfolded and it would be a rectangle.
Cut the upper two halves (above the horizontal cut) along the line AB, the two lower ones along line CD.
___________________________________
| C |
|A |
| |
| B|
|_________________________D_________|
|
Posted by Hugo
on 2005-04-23 16:01:34 |