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.
Symmetry
| 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},
|
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.
It is an element of three uniform honeycombs:
It is also an element of two four-dimensional uniform 4-polytopes:
External links
