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It took one of my teammates and I about 2 hours to wade through some math to eventually find some solution for the angle between hexagons we deemed correct.
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Wow you guys are dedicated. I just found the numbers on the internet. I made little polygons, extruded them, put them together, and spherifyed(sp?) them. I ended up with, in my opinion, an almost photo realistic soccer ball, but I'll let you be the judge of that.
In making this I kind of broke a cardinal rule of animation. In our animation, the ball is a tiny detail. The quality of the model and the texture never really showed, so I made it for nothing. It would've been easier to use bump mapping, and I wouldn't have had to use XRefs to keep my computer from crashing.