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	File:CDel node.png File:CDel 6.png File:CDel node h.pngFile:CDel node h.png File:CDel node h.pngFile:CDel 2x.pngFile:CDel node h.png
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
File:Dodecagonal prism vf.png 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:

File:Omnitruncated triangular-hexagonal prismatic honeycomb.png Omnitruncated triangular-hexagonal prismatic honeycomb File:CDel 6.pngFile:CDel 3.pngFile:CDel infin.pngFile:CDel node.png

File:Truncated hexagonal prismatic honeycomb.png Truncated hexagonal prismatic honeycomb File:CDel 6.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node.png

The new British one pound (£1) coin, which entered circulation in March 2017, is shaped like a dodecagonal prism.