# 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 diagrams

Symmetry D8h, [8,2], (*822), order 32
Rotation group D8, [8,2]+, (822), order 16
References U76(f)
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.

## Symmetry

Image Symmetry D4h, [2,4], (*422) D4d, [2+,8], (2*4) tr{4,2} or t{4}×{}, s2{2,8},

## Images

The octagonal prism can also be seen as a tiling on a sphere:

## 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:

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

## Related polyhedra

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

Image

As spherical polyhedra
Image

Dimensional family of omnitruncated polyhedra and tilings: 4.8.2n
Symmetry
*n42
[n,4]
Spherical Euclidean Compact hyperbolic Paracompact
*242
[2,4]
D4h
*342
[3,4]
Oh
*442
[4,4]
P4m
*542
[5,4]
*642
[6,4]
*742
[7,4]
*842
[8,4]...
*∞42
[∞,4]
Omnitruncated
figure

4.8.4

4.8.6

4.8.8

4.8.10

4.8.12

4.8.14

4.8.16

4.8.∞
Coxeter
Schläfli

tr{2,4}

tr{3,4}

tr{4,4}

tr{5,4}

tr{6,4}

tr{7,4}

tr{8,4}

tr{∞,4}
Omnitruncated
duals

V4.8.4

V4.8.6

V4.8.8

V4.8.10

V4.8.12

V4.8.14

V4.8.16

V4.8.∞
Coxeter