octagonal prism

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

Symmetry

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!Name

|Ditetragonal prism

|Ditetragonal trapezoprism

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!Image

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!Symmetry

|D_4h, [2,4], (*422)

|D_4d, [2⁺,8], (2*4)

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!Construction

|tr{4,2} or t{4}×{}, {{CDD|node_1|2|node_1|4|node_1}}

|s₂{2,8}, {{CDD|node_h|2x|node_h|8|node_1}}

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:

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|Truncated square prismatic honeycomb
{{CDD|node_1|4|node_1|4|node|2|node_1|infin|node}}

|Omnitruncated cubic honeycomb
{{CDD|node_1|4|node_1|3|node_1|4|node_1}}

|Runcitruncated cubic honeycomb
{{CDD|node_1|4|node_1|3|node|4|node_1}}

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

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|Runcitruncated tesseract
{{CDD|node_1|4|node_1|3|node|3|node_1}}

|Omnitruncated tesseract
{{CDD|node_1|4|node_1|3|node_1|3|node_1}}

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{{mathworld | urlname = OctagonalPrism | title = Octagonal prism}}
[https://web.archive.org/web/20070711043500/http://polyhedra.org/poly/show/25/octagonal_prism Interactive model of an Octagonal Prism]