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.^{[1]}
Related polyhedra
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
- ^ "New 12-sided pound coin to enter circulation in March". BBC News. 2017-01-01. Retrieved 2017-04-20.