What is the length of the edge of the hexagon on a soccer ball compared to the diameter of the soccer ball?
I haven't been able to find this particular relationship on the web.
A quick answer might be to find the various models that people built several years ago (was it back in comp.cad.soldiworks?) and measure the edge and the diameter. Since I can't remember much about when, where, who, what or why, I'm not going to be much help.
I pieced together an answer from a wikipedia on regular icosahedron that gave the ratio of the edge to the radius as .951... and then another wikipedia that said the truncated icosahedron with 5 and 6 sides was 1/3 of the regular icosahedron. So I got an answer that seems to work.
thanks, though. I do remember that discussion. I may look it up just to see if it helps with some other questions I don't have yet.
Thanks again, Jer.
If anyone is interested, the ratio of the diameter of a soccer ball to the length of one side of a pent/hex agon is approximately 4.9545. The side of the polygon is measured as a straight distance from vertex to vertex, not as an arclength.
Yeah, I know no one is interested, but I just want to feel like the last 3 hours of my life counted for something.
Matt, you do realize that the past two World Cups have used a different kind of ball. No longer do we see the 5 and 6 sided polygons making the shape. There was a lot of concern form the goal keepers about how this new ball flew thru the air and the strikers had concerns as well because of the way it felt on thier foot. What a beautiful game.
aw, geez, I hate progress.
The ball is still round though, I see, so no one had any really creative ideas.
I was modeling another part, not really a soccer ball, and "truncated icosahedron" for all its syllables is still just a general class of geometry, not anything specific. Even Buckyball could be lots of different stuff in the end. So even though it might have been technically incorrect, I went for the dated and nation-specific "soccer ball" term, since it seemed like my best bet to get my point across. Oh well.
Thanks to everyone for the input.
One of the SW guys did a blog post/twitter/whatever with a link to the long version, but here is the short version of "how it's made" for the Ju.m... whatever it's called:
Thanks, Matt. I'll sleep much better tonight knowing that!
PS. Notice the complete absence of purple prose.
For those interested, since I sent it to Matt, here is a SolidWorks model I did a while ago:
but we already discussed this before: https://forum.solidworks.com/message/147023#147023
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