Soccer balls are usually covered with a design based on regular pentagons and hexagons.
How many pentagons/hexagons MUST there be, and why?
Although it is true that there is no hexagon and pentagon Johnson solid, this doesn't rule out the possibility of a non-convex shape.
Not that it would make a very good soccer ball.
Posted by Jer
on 2004-04-15 12:03:24