Decagonal prism

Uniform decagonal prism

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}×{}
Wythoff symbol	2 10 \| 2 2 2 5 \|
Coxeter diagrams
Symmetry	D_10h, [10,2], (*10.2.2), order 40
Rotation group	D₁₀, [10,2]⁺, (10.2.2), order 20
References	U_76(h)
Dual	Decagonal dipyramid
Properties	convex, 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, so, it is a dodecahedron (while the term is usually applied to regular dodecahedron or rhombic dodecahedron.). 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 4-polytopes:

Runcitruncated 120-cell	Omnitruncated 120-cell

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