Hexadecahedron


A hexadecahedron is a polyhedron with 16 faces. No hexadecahedron is regular; hence, the name is ambiguous. There are numerous topologically distinct forms of a hexadecahedron, for example the pentadecagonal pyramid, tetradecagonal prism and heptagonal antiprism.

Convex hexadecahedra

There are 387,591,510,244 topologically distinct convex hexadecahedra, excluding mirror images, having at least 10 vertices.

Self-dual hexadecahedra

There are 302,404 self-dual hexadecahedron, 1476 with at least order 2 symmetry. The high symmetry self-dual has chiral tetrahedral symmetry, and can be seen topologically by removing 4 of 20 vertices of a regular dodecahedron and is called a tetrahedrally diminished dodecahedron.

Examples

The following list gives examples of hexadecahedra.