Pentagonal prism

Uniform Pentagonal prism
Type	Prismatic uniform polyhedron
Elements	F = 7, E = 15 V = 10 (χ = 2)
Faces by sides	5{4}+2{5}
Schläfli symbol	t{2,5}
Wythoff symbol	2 5 | 2
Coxeter-Dynkin
Symmetry	D5h
References	U76(c)
Dual	Pentagonal dipyramid
Properties	convex
Vertex figure 4.4.5

In geometry, the pentagonal prism is a prism with a pentagonal base. It is a type of heptahedron.

If faces are all regular, the pentagonal prism is a semiregular polyhedron, and the third in an infinite set of prisms formed by square sides and two regular polygon caps.

A pentagonal prism has 7 faces, and 10 vertices, and 15 edges.

As in most prisms, the volume is found by taking the area of the base, with a side length of a, and multiplying it by the height h.

Use

It is an element of four 4-dimensional uniform polychora: cantellated 600-cell, cantitruncated 600-cell, runcinated 600-cell and runcitruncated 600-cell.

External links

• Weisstein, Eric W., "Pentagonal prism" from MathWorld.
• Pentagonal Prism Polyhedron Model -- works in your web browser

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