Dodecagonal prism

Summary

Uniform dodecagonal prism
Dodecagonal prism.png
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 CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 12.pngCDel node.png
CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 6.pngCDel node 1.png
CDel node 1.pngCDel 2.pngCDel node h.pngCDel 12.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 12.pngCDel node 1.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
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.

UseEdit

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 polyhedraEdit

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                                                                   ...      

ReferencesEdit

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

External linksEdit