What is the shortest distance between two opposite points (two vertices separated by 2R) in the surface of a regular icosahedron? The regular icosahedron's edges are 1ft in length.

If two vertices are opposite and R is the radius of the circumsribed sphere, then isn't the question essentially: What is the radius of the circumscribing sphere if the edges are 1 ft.?
Also, does anyone have a good link to a picture of an icosahedron?

Posted by Richard on 2003-12-10 18:22:35