Octagonal prism
In today's world, Octagonal prism has become a topic of great relevance and interest to a wide range of people. With its impact on society and everyday life, Octagonal prism has sparked debates and generated countless divergent opinions. Since its emergence, Octagonal prism has captured the attention of academics, scientists, technology experts, political leaders, activists, and ordinary citizens alike. In this article, we will thoroughly explore the phenomenon of Octagonal prism, analyzing its ramifications in different areas and exposing varied perspectives on this controversial topic.
| 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, , (*822), order 32 |
| Rotation group | D8, +, (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
| Name | Ditetragonal prism | Ditetragonal trapezoprism |
|---|---|---|
| Image | 
|
|
| Symmetry | D4h, , (*422) | D4d, , (2*4) |
| Construction | tr{4,2} or t{4}×{},
|
s2{2,8},
|
Images
The octagonal prism can also be seen as a tiling on a sphere:
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
|
Omnitruncated cubic honeycomb
|
Runcitruncated cubic honeycomb
|
|
|
|
It is also an element of two four-dimensional uniform 4-polytopes:
| Runcitruncated tesseract
|
Omnitruncated tesseract
|
|
|
Related polyhedra
| Family of uniform n-gonal prisms | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Prism name | Digonal prism | (Trigonal) Triangular prism |
(Tetragonal) Square prism |
Pentagonal prism | Hexagonal prism | Heptagonal prism | Octagonal prism | Enneagonal prism | Decagonal prism | Hendecagonal prism | Dodecagonal prism | ... | Apeirogonal prism |
| Polyhedron image | 
|
|
|
|
|
|
|
|
|
|
|
... | |
| Spherical tiling image | 
|
|
|
|
|
|
|
|
Plane tiling image | 
| |||
| Vertex config. | 2.4.4 | 3.4.4 | 4.4.4 | 5.4.4 | 6.4.4 | 7.4.4 | 8.4.4 | 9.4.4 | 10.4.4 | 11.4.4 | 12.4.4 | ... | ∞.4.4 |
| Coxeter diagram |
|
|
|
|
|
|
|
|
|
|
|
... |
|
| *n42 symmetry mutation of omnitruncated tilings: 4.8.2n | ||||||||
|---|---|---|---|---|---|---|---|---|
| Symmetry *n42 |
Spherical | Euclidean | Compact hyperbolic | Paracomp. | ||||
| *242 |
*342 |
*442 |
*542 |
*642 |
*742 |
*842 ... |
*∞42 | |
| Omnitruncated figure |
 4.8.4 |
 4.8.6 |
 4.8.8 |
 4.8.10 |
 4.8.12 |
 4.8.14 |
 4.8.16 |
 4.8.∞ |
| Omnitruncated duals |
 V4.8.4 |
 V4.8.6 |
 V4.8.8 |
 V4.8.10 |
 V4.8.12 |
 V4.8.14 |
 V4.8.16 |
 V4.8.∞ |
External links
 | This polyhedron-related article is a stub. You can help Wikipedia by expanding it. |