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}x{} |
| 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 semiregular polyhedron.
Use
It is used in the construction of two prismatic uniform honeycombs:
![]() Omnitruncated triangular-hexagonal prismatic honeycomb |
![]() Truncated hexagonal prismatic honeycomb |
Related polyhedra
| Polyhedron | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Coxeter | ||||||||||
| Tiling | ||||||||||
| Config. | 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 |
External links
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