Octagonal prism

Uniform Octagonal prism
Type	Prismatic uniform polyhedron
Elements	F = 10, E = 24, V = 16 (χ = 2)
Faces by sides	8{4}+2{8}
Schläfli symbol	t{2,8} or {8}x{}
Wythoff symbol	2 8 | 2 2 2 4 |
Coxeter-Dynkin
Symmetry	D8h, [8,2], (*88)
References	U76(e)
Dual	Octagonal dipyramid
Properties	convex, zonohedron
Vertex figure 4.4.8

In geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by square sides and two regular octagon caps.

If faces are all regular, it is a semiregular polyhedron.

Use

In optics, octagonal prisms are used to generate flicker-free images in movie projectors.

In uniform honeycombs and polychora

It is an element of three uniform honeycombs:

Truncated square prismatic honeycomb	Omnitruncated cubic honeycomb	Runcitruncated cubic honeycomb

It is also an element of two four-dimensional uniform polychora:

Runcitruncated tesseract	Omnitruncated tesseract

See also

• Set of prisms
• Triangular prism
• Cube (square-capped prism)
• Pentagonal prism
• Hexagonal prism

External links

• Weisstein, Eric W., "Prism" from MathWorld.
• Interactive model of an Octagonal Prism

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