Octagonal prism

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}x{}
Wythoff symbol	2 8 \| 2 2 2 4 \|
Coxeter diagrams
Symmetry	D_8h, [8,2], (*822), order 32
Rotation group	D₈, [8,2]⁺, (822), order 16
References	U_76(f)
Dual	Octagonal dipyramid
Properties	convex, zonohedron
Vertex figure 4.4.8

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

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.

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

n42 symmetry mutation of omnitruncated tilings: 4.8.2n*
Symmetry *n42 [n,4]	Spherical		Euclidean	Compact hyperbolic				Paracomp.
Symmetry *n42 [n,4]	*242 [2,4]	*342 [3,4]	*442 [4,4]	*542 [5,4]	*642 [6,4]	*742 [7,4]	*842 [8,4]...	*∞42 [∞,4]
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.∞