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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
3D model of a uniform dodecagonal prism

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

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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]

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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

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  1. ^ "New 12-sided pound coin to enter circulation in March". BBC News. 2017-01-01. Retrieved 2017-04-20.
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