Octagonal prism

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Template:Short description Template:Prism even polyhedron stat table 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 D4h, [2,4], (*422) D4d, [2+,8], (2*4)
Construction tr{4,2} or t{4}×{}, Template:CDD s2{2,8}, Template:CDD

Images

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

File:Spherical octagonal prism.svg

Use

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

In uniform honeycombs and 4-polytopes

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

Related polyhedra

Template:UniformPrisms

Template:Omnitruncated4 table

External links

Template:Asbox