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Traditional Soccer Ball (Posted on 2024-06-28) Difficulty: 3 of 5
A traditional soccer ball has 20 regular (spherical) hexagons with 12 regular pentagons situated so each is surrounded by five of the hexagons.

Given such a ball that's 22 cm in diameter, what is the arc length of one side where two polygons meet (penta/hexa or hexa/hexa) in centimeters?

See The Solution Submitted by Charlie    
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re(2): Solution | Comment 4 of 7 |
(In reply to re: Solution by Charlie)

I don't see why not.  It's my solution so the burden of proof is on me, but can you give a counterexample?


If we took a 3-4-5 triangle and puffed it into a 12/pi diameter circle wouldn't the arcs be 1/4, 1/3, 5/12?  Does it work differently in 3d?



  Posted by Jer on 2024-06-29 14:40:57
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