Octagonal prism
Prism with an 8-sided base
| 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 | |
| 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.
01Symmetry
| Name | Ditetragonal prism | Ditetragonal trapezoprism |
|---|---|---|
| Image | ||
| Symmetry | D4h, [2,4], (*422) | D4d, [2+,8], (2*4) |
| Construction | tr{4,2} or t{4}×{}, | s2{2,8}, |
02Images
The octagonal prism can also be seen as a tiling on a sphere:
03Use
In optics, octagonal prisms are used to generate flicker-free images in movie projectors.
04In uniform honeycombs and 4-polytopes
It is an element of three uniform honeycombs:
It is also an element of two four-dimensional uniform 4-polytopes:
Sources and credits
This article is adapted from the Wikipedia article “Octagonal prism”, written by its contributors and licensed under CC BY-SA 4.0. Fathomly has changed the layout, removed citation markers, navigation and maintenance notices, and adjusted punctuation. This adapted version is shared under the same license. For references, see the original article.
Images, from Wikimedia Commons:
- Octagonal prism.png by Tomruen, Attribution
- Octagonal prism.stl by TilmannR, Public domain
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