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}×{} |
| Wythoff symbol | 2 8 | 2 2 2 4 | |
| Coxeter diagrams |       
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| 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 a prism comprising eight rectangular sides joining two regular octagon caps.
Symmetry
[edit]| Name | Ditetragonal prism | Ditetragonal trapezoprism |
|---|---|---|
| Image | 
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| Symmetry | D4h, [2,4], (*422) | D4d, [2+,8], (2*4) |
| Construction | tr{4,2} or t{4}×{},
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s2{2,8},
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Images
[edit]The octagonal prism can also be seen as a tiling on a sphere:
Use
[edit]In optics, octagonal prisms are used to generate flicker-free images in movie projectors.
In uniform honeycombs and 4-polytopes
[edit]It is an element of three uniform honeycombs:
Truncated square prismatic honeycomb
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Omnitruncated cubic honeycomb
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Runcitruncated cubic honeycomb
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It is also an element of two four-dimensional uniform 4-polytopes:
| Runcitruncated tesseract
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Omnitruncated tesseract
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Related polyhedra
[edit]| Family of uniform n-gonal prisms |
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| *n42 symmetry mutation of omnitruncated tilings: 4.8.2n |
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External links
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