Dodecagonal prism

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

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 semiregular polyhedron.

Use

It is used in the construction of two prismatic uniform honeycombs:


Omnitruncated triangular-hexagonal prismatic honeycomb

Truncated hexagonal prismatic honeycomb

Related polyhedra

Family of uniform prisms
Symmetry 3 4 5 6 7 8 9 10 11 12
[2n,2]
[n,2]
[2n,2+]










Image





As spherical polyhedra
Image



External links