Talk:Icosahedron

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The stellations of the icosahedron are described in University of Toronto Studies Number 6 - The Fifty-Nine Icosahedra - by HSM Coxeter, P Du Val, HT Flather, and JF Petrie - University of Toronto Press 1938 (Derek Locke)

[edit] New stat table

I replace stat table with template version, which uses tricky nested templates as a "database" which allows the same data to be reformatted into multiple locations and formats. See here for more details: User:Tomruen/polyhedron_db_testing

Tom Ruen 00:54, 4 March 2006 (UTC)

[edit] volume vs dodecahedron

(Comment from Trevor: I'd LOVE to see a proof on this. Til then, I don't buy it.) —The preceding unsigned comment was added by Btrevoryoung (talk • contribs) 12:38, 14 June 2006.

If you refer to the table of volumes in Platonic solid it is relatively easy to calculate. R, the circumradius, corresponds to the radius of the sphere that the polyhedron is inscribed in. If you do some calculations you will find that (volume of dodecahedron with circumradius R)/(volume of sphere with radius R) is greater than (volume of icosahedron with circumradius R)/(volume of sphere with radius R). This is an alternative way of explaining what the article states. This may be counter-intuitive to some because it is unlike the similar situation in regards to circles and polygons. I will leave the math to you.

[edit] Proofs for Surface Area and Volume

Proofs for the surface area and volume of an icosahedron can be found here: http://mathworld.wolfram.com/Icosahedron.html David Mitchell 17:19, 31 October 2006 (UTC)