Octagonal prism

From HandWiki
Short description: Prism with an 8-sided base

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 Truncated square prism.png Cantic snub octagonal hosohedron.png
Symmetry D4h, [2,4], (*422) D4d, [2+,8], (2*4)
Construction tr{4,2} or t{4}×{}, CDel node 1.pngCDel 2.pngCDel node 1.pngCDel 4.pngCDel node 1.png s2{2,8}, CDel node h.pngCDel 2x.pngCDel node h.pngCDel 8.pngCDel node 1.png

Images

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

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
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 4.pngCDel node.pngCDel 2.pngCDel node 1.pngCDel infin.pngCDel node.png
Omnitruncated cubic honeycomb
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 4.pngCDel node 1.png
Runcitruncated cubic honeycomb
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 4.pngCDel node 1.png
Truncated square prismatic honeycomb.png Omnitruncated cubic honeycomb.jpg Runcitruncated cubic honeycomb.jpg

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

Runcitruncated tesseract
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node.pngCDel 3.pngCDel node 1.png
Omnitruncated tesseract
CDel node 1.pngCDel 4.pngCDel node 1.pngCDel 3.pngCDel node 1.pngCDel 3.pngCDel node 1.png
4-cube t013.svg 4-cube t0123.svg

Related polyhedra

External links