Octagonal prism
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| Uniform Octagonal prism | |
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| 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}x{} |
| Wythoff symbol | 2 8 | 2 2 2 4 | |
| Coxeter-Dynkin |      |
| Symmetry | D8h, [8,2], (*88) |
| References | U76(e) |
| Dual | Octagonal dipyramid |
| Properties | convex, zonohedron |
 Vertex figure 4.4.8 |
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In geometry, the octagonal prism is the sixth in an infinite set of prisms, formed by square sides and two regular octagon caps.
If faces are all regular, it is a semiregular polyhedron.
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[edit] Use
In optics, octagonal prisms are used to generate flicker-free images in movie projectors.
[edit] In uniform honeycombs and polychora
It is an element of three uniform honeycombs:
Truncated square prismatic honeycomb |
Omnitruncated cubic honeycomb |
Runcitruncated cubic honeycomb |
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It is also an element of two four-dimensional uniform polychora:
| Runcitruncated tesseract |
Omnitruncated tesseract |
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[edit] See also
- Set of prisms
- Triangular prism
- Cube (square-capped prism)
- Pentagonal prism
- Hexagonal prism
[edit] External links
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