Questions tagged [platonic-solids]

A Platonic solid is a regular, convex polyhedron with congruent faces of regular polygons and the same number of faces meeting at each vertex.

There are only five Platonic solids: the regular tetrahedron, the cube, the regular octahedron, the regular dodecahedron, and the regular icosahedron.

179 questions

votes

0 answers

Largest platonic solid inscribed in another platonic solid

One platonic solid can be inscribed in another platonic solid in several ways. How to find, in general, the largest platonic solid that can be inscribed in another one? e.g. one way to inscribe a dodecahedron in an icosahedron would be: the 20…

platonic-solids

asked Apr 30 '16 at 17:06

jck

vote

2 answers

Is a solid from 32 congruent regular triangles a Platonic solid?

Imagine a ball (a globe) divided by three circles, rectangular to each over. If one smooth the surface between the circles one get 8 triangles and this is the platonic solid octahedron. Going back to the globe it seems possible to divide each of the…

platonic-solids