Soccer balls are usually covered with a design based on regular pentagons and hexagons.

How many pentagons/hexagons MUST there be, and why?

(In reply to re: Johnson solids by Thalamus)

This is true, but not what I was getting at. My point was that the fact that no Johnson solid is composed of pentagons and hexagons doesn't rule out a nonconvex shape made of pentagons and hexagons.

There could even be a surface with holes in it.

This would make an even worse soccer ball.

-Jer

Posted by Jer on 2004-04-27 14:24:22