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.

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

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

Family of uniform n-gonal prisms v t e
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												...