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A flat ball? (Posted on 2004-04-08) Difficulty: 2 of 5
Soccer balls are usually covered with a design based on regular pentagons and hexagons.

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

See The Solution Submitted by Federico Kereki    
Rating: 3.7500 (4 votes)

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re(2): Johnson solids | Comment 22 of 24 |
(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.

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

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