title: Dodecagonal prism
text: # 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 | |
  | Symmetry | $D_{12h},$ [12,2], (*12.2.2), order 48 |
  | Rotation group | $D_{12},$ $[12,2]^+,$ (12.2.2), order 24 |
  | References | $U_{76(j)}$ |
  | Dual | Dodecagonal dipyramid |
  | Properties | convex, 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 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.
  
  ## Related polyhedra
  
  Family of uniform n-gonal prisms vte :
  
  | 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 | | | | | | | | | | | | ... | |
  