Tuesday, March 21, 2006

This drove me batty and I hope it will do the same for you:
It is impossible to have 5 continuous (ie, each area is continuous with itself) areas all touching each other (in one plane). Use any combinations of curves & staight lines. Can't be done. I assume this holds for more than 5 also. This was discovered by people who were trying to pick colors for countries on a map.

4 comments:

Nevermore said...

http://img.photobucket.com/albums/v396/a-man27/wtf-monkey.jpg
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LMO said...

I've determined the actual problem is that you can't have four continuous areas all touching each other with out one being central. Sounds easier to tackle. And if only I could just get that to work... then I can just draw a circle around it!

N said...

I must not understand the problem, because any pie has at least 8 pieces all touching each other. They all touch each other at the center point, and you could have as many of such pieces as you want.

Perhaps you mean share a common boundary line?

SomethingInMyEye said...

sorry danny- I mean touching for any length, as in, part of each's perimeter is alongside part of each of the other's perimeter