Octagonal prism

Uniform octagonal prism
File:Octagonal prism.png
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}×{}
Wythoff symbol	2 2 2 4 \|
Coxeter diagrams	Template:CDD Template:CDD Template:CDD Template:CDD
Symmetry	D_8h, [8,2], (*822), order 32
Rotation group	D₈, [8,2]⁺, (822), order 16
References	U_76(f)
Dual	Octagonal dipyramid
Properties	convex, zonohedron
File:Octagonal prism vertfig.png Vertex figure 4.4.8

In geometry, the octagonal prism is a prism comprising eight rectangular sides joining two regular octagon caps.

Symmetry

Name	Ditetragonal prism	Ditetragonal trapezoprism
Image	File:Truncated square prism.png	File:Cantic snub octagonal hosohedron.png
Symmetry	D_4h, [2,4], (*422)	D_4d, [2⁺,8], (2*4)
Construction	tr{4,2} or t{4}×{}, Template:CDD	s₂{2,8}, Template:CDD

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

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

It is an element of three uniform honeycombs:

Truncated square prismatic honeycomb Template:CDD	Omnitruncated cubic honeycomb Template:CDD	Runcitruncated cubic honeycomb Template:CDD
File:Truncated square prismatic honeycomb.png	File:Omnitruncated cubic honeycomb.jpg	File:Runcitruncated cubic honeycomb.jpg

It is also an element of two four-dimensional uniform 4-polytopes:

Runcitruncated tesseract Template:CDD	Omnitruncated tesseract Template:CDD
File:4-cube t013.svg	File:4-cube t0123.svg