Dodecagonal prism
12-sided box
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In geometry, the dodecagonal prism is the tenth in an infinite set of prisms, formed by square sides and two regular dodecagon caps.
| 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 | D12h, [12,2], (*12.2.2), order 48 |
| Rotation group | D12, [12,2]+, (12.2.2), order 24 |
| References | U76(j) |
| Dual | Dodecagonal dipyramid |
| Properties | convex, zonohedron |
 Vertex figure 4.4.12 | |
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.[1]
Related polyhedra
| Family of uniform n-gonal prisms | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 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 |
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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 |
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