Decagonal prism

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Uniform Decagonal prism
TypePrismatic uniform polyhedron
ElementsF = 12, E = 30, V = 20 (χ = 2)
Faces by sides10{4}+2{10}
Schläfli symbolt{2,10} or {10}x{}
Wythoff symbol2 10 | 2
2 2 5 |
Coxeter diagrams


SymmetryD10h, [10,2], (*10.2.2), order 40
Rotation groupD10, [10,2]+, (10.2.2), order 20
ReferencesU76(h)
DualDecagonal dipyramid
Propertiesconvex, zonohedron

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

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

Runcitruncated 120-cell
Omnitruncated 120-cell

Related polyhedra

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















Image
As spherical polyhedra
Image



External links

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