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
TypePrismatic uniform polyhedron
ElementsF = 14, E = 36, V = 24 (χ = 2)
Faces by sides12{4}+2{12}
Schläfli symbolt{2,12} or {12}x{}
Wythoff symbol2 12 | 2
2 2 6 |
Coxeter diagrams


SymmetryD12h, [12,2], (*12.2.2), order 48
Rotation groupD12, [12,2]+, (12.2.2), order 24
ReferencesU76(j)
DualDodecagonal dipyramid
Propertiesconvex, zonohedron

Vertex figure
4.4.12

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

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

References

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