Decagonal prism

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Uniform Decagonal prism
Decagonal prism.png
Type Prismatic uniform polyhedron
Elements F = 12, E = 30, V = 20 (χ = 2)
Faces by sides 10{4}+2{10}
Schläfli symbol t{2,10} or {10}x{}
Wythoff symbol 2 10 | 2
2 2 5 |
Coxeter diagrams CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 10.pngCDel node.png
CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 5.pngCDel node 1.png
CDel node 1.pngCDel 2.pngCDel node h.pngCDel 10.pngCDel node h.png
CDel node h.pngCDel 2x.pngCDel node h.pngCDel 10.pngCDel node 1.png
Symmetry D10h, [10,2], (*10.2.2), order 40
Rotation group D10, [10,2]+, (10.2.2), order 20
References U76(h)
Dual Decagonal dipyramid
Properties convex, zonohedron
Decagonal prism vf.png
Vertex figure
4.4.10

In geometry, the decagonal prism is the eighth in the infinite set of prisms, formed by ten square side faces and two regular decagon caps. With twelve faces, it is one of many nonregular dodecahedra. The decagonal prism has 12 faces, 30 edges, and 20 vertices. If faces are all regular, it is a semiregular or prismatic uniform polyhedron.

Uses[edit]

The decagonal prism exists as cells in two four-dimensional uniform 4-polytopes:

Runcitruncated 120-cell
CDel node 1.pngCDel 5.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Omnitruncated 120-cell
CDel node 1.pngCDel 5.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
120-cell t013 H3.png 120-cell t0123 H3.png

Related polyhedra[edit]

Family of uniform prisms
Polyhedron Triangular prism.png Tetragonal prism.png Pentagonal prism.png Hexagonal prism.png Prism 7.png Octagonal prism.png Prism 9.png Decagonal prism.png Hendecagonal prism.png Dodecagonal prism.png
Coxeter CDel node 1.pngCDel 3.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 4.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 5.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 6.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 7.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 8.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 9.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 10.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 11.pngCDel node.pngCDel 2.pngCDel node 1.png CDel node 1.pngCDel 12.pngCDel node.pngCDel 2.pngCDel node 1.png
Tiling Spherical triangular prism.png Spherical square prism.png Spherical pentagonal prism.png Spherical hexagonal prism.png Spherical heptagonal prism.png Spherical octagonal prism.png Spherical decagonal prism.png
Config. 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

External links[edit]