Octagonal prism

Uniform Octagonal prism
TypePrismatic uniform polyhedron
ElementsF = 10, E = 24, V = 16 (χ = 2)
Faces by sides8{4}+2{8}
Schläfli symbolt{2,8} or {8}x{}
Wythoff symbol2 8 | 2
2 2 4 |
Coxeter diagrams

SymmetryD8h, [8,2], (*822), order 32
Rotation groupD8, [8,2]+, (822), order 16
DualOctagonal dipyramid
Propertiesconvex, zonohedron

Vertex figure

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.


Symmetry D4h, [2,4], (*422) D4d, [2+,8], (2*4)
Construction tr{4,2} or t{4}×{}, s2{2,8},


The octagonal prism can also be seen as a tiling on a sphere:


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 prisms
Config. 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

External links

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