I would not say your math was lousy you just did not have the right formula.

You did a lot better than I would have based on the information given.
"Keith Young" wrote in message
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guess my math is lousey
"DJ Delorie" wrote in message
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According to my math, and http://en.wikipedia.org/wiki/Icosahedron,
for a sphere of outer radius R you need triangles with edge length
1.323*R
and bevel angle 20.905 degrees.
The minimum thickness of the wood must be 0.26 * R, any extra thickness
becomes the thickness of the resulting sphere.
Thus, for a sphere of radius 3 7/8, you want triangles with edges
5.127" long and wood (1+T)" thick (T = thickness of sphere wall).