Dodecagonal prism
# Dodecagonal prism

Uniform dodecagonal prism :

| Type | Prismatic uniform polyhedron |
| - | - |
| Elements | F = 14, E = 36, V = 24 (χ = 2) |
| Faces by sides | 12{4}+2{12} |
| Schläfli symbol | t{2,12} or {12}× |
| Wythoff symbol | 2 12 | 2 2 2 6 | |
| Coxeter diagrams | |
| Symmetry | $D_{12h},$ [12,2], (*12.2.2), order 48 |
| Rotation group | $D_{12},$ $[12,2]^+,$ (12.2.2), order 24 |
| References | $U_{76(j)}$ |
| Dual | Dodecagonal dipyramid |
| Properties | convex, zonohedron |
| Vertex figure 4.4.12 ||

In geometry, the dodecagonal prism is the tenth in an infinite set of prisms, formed by square sides and two regular dodecagon caps.

If faces are all regular, it is a uniform polyhedron.

## Use

It is used in the construction of two prismatic uniform honeycombs:

| Omnitruncated triangular-hexagonal prismatic honeycomb | Truncated hexagonal prismatic honeycomb |
| - | - |

The new British one pound (£1) coin, which entered circulation in March 2017, is shaped like a dodecagonal prism.

## Related polyhedra

Family of uniform n-gonal prisms vte :

| Prism name | Digonal prism | (Trigonal) Triangular prism | (Tetragonal) Square prism | Pentagonal prism | Hexagonal prism | Heptagonal prism | Octagonal prism | Enneagonal prism | Decagonal prism | Hendecagonal prism | Dodecagonal prism | ... | Apeirogonal prism |
| - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| Polyhedron image | | | | | | | | | | | | ... | |
| Spherical tiling image | | | | | | | | | | | | Plane tiling image | |
| Vertex config. | 2.4.4 | 3.4.4 | 4.4.4 | 5.4.4 | 6.4.4 | 7.4.4 | 8.4.4 | 9.4.4 | 10.4.4 | 11.4.4 | 12.4.4 | ... | ∞.4.4 |
| Coxeter diagram | | | | | | | | | | | | ... | |
