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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Johnson solids | Comment 20 of 24 |
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.

-Jer
  Posted by Jer on 2004-04-15 12:03:24
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