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 |       
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| 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 |
|---|
References
[edit]- ^ "New 12-sided pound coin to enter circulation in March". BBC News. 2017-01-01. Retrieved 2017-04-20.
External links
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