| These are the distances from the center of the polyhedron to the vertices, edge midpoints, and face centers respectively. |
| The faces of the polyhedron appear to consist of two equilateral triangles and six somewhat irregular pentagons. |
| A cube is a regular polyhedron because all of its faces are congruent regular polygons. |
| Designed as a casing for a technical duct, this mosaic in glass paste is produced on a polyhedron. |
| The fifth regular polyhedron, the dodecahedron, was left over, so Plato proposed rather lamely that the god used it up for decorating the universe. |
| The points thus obtained are evidently the vertices of a polyhedron with plane faces. |
