| Finally, the octahedron inscribed in the Venus-orbit sphere has itself an inscribed sphere, on which the orbit of Mercury lies. |
| The cube, consisting of six square faces, is a common form either alone or in combination with other forms, especially the octahedron. |
| One specimen was covered with small rounded crystal-like projections, similar to cube and octahedron forms. |
| This six-point perspective, with the six vertices of an octahedron serving as the vanishing points, becomes the basis of his spherical paintings. |
| Theaetetus was the first to study the octahedron and the icosahedron and it is believed that Book XIII of Euclid's Elements is based on his work. |
| A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt. |
