Dodecagonal prism
 | This article includes a list of general references, but it lacks sufficient corresponding inline citations. (August 2025) |
| 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 | |
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
[edit]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
[edit]| 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 |
| 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 |
|
|
|
|
|
|
|
|
|
|
|
... |
|
References
[edit]- ^ "New 12-sided pound coin to enter circulation in March". BBC News. 2017-01-01. Retrieved 2017-04-20.
External links
[edit] | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |