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In geometry, the octagonal prism is the sixth in an infinite set of
Interactive model of an Octagonal Prism
{{Polyhedron-stub Zonohedra Prismatoid polyhedra
prisms
Prism usually refers to:
* Prism (optics), a transparent optical component with flat surfaces that refract light
* Prism (geometry), a kind of polyhedron
Prism may also refer to:
Science and mathematics
* Prism (geology), a type of sedimentar ...
, formed by rectangular sides and two regular octagon caps.
If faces are all regular, it is a semiregular polyhedron
In geometry, the term semiregular polyhedron (or semiregular polytope) is used variously by different authors.
Definitions
In its original definition, it is a polyhedron with regular polygonal faces, and a symmetry group which is transitive on ...
.
Symmetry
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 inmovie projector
A movie projector is an opto-mechanical device for displaying motion picture film by projecting it onto a screen. Most of the optical and mechanical elements, except for the illumination and sound devices, are present in movie cameras. Mod ...
s.
In uniform honeycombs and 4-polytopes
It is an element of threeuniform honeycomb
In geometry, a uniform honeycomb or uniform tessellation or infinite uniform polytope, is a vertex-transitive honeycomb made from uniform polytope facets. All of its vertices are identical and there is the same combination and arrangement of fac ...
s:
It is also an element of two four-dimensional uniform 4-polytope
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.
There are 47 non-prismatic convex uniform 4-polytopes. Ther ...
s:
Related polyhedra
External links
*Interactive model of an Octagonal Prism
{{Polyhedron-stub Zonohedra Prismatoid polyhedra