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In
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
, the octagonal prism is the sixth in an infinite set of prisms, formed by rectangular sides and two regular
octagon In geometry, an octagon (from the Greek ὀκτάγωνον ''oktágōnon'', "eight angles") is an eight-sided polygon or 8-gon. A ''regular octagon'' has Schläfli symbol and can also be constructed as a quasiregular truncated square, t, wh ...
caps. If faces are all regular, it is a semiregular polyhedron.


Symmetry


Images

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


Use

In
optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behaviour of visible, ultra ...
, octagonal prisms are used to generate flicker-free images in
movie 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. Mo ...
s.


In uniform honeycombs and 4-polytopes

It is an element of three uniform honeycombs: It is also an element of two four-dimensional uniform 4-polytopes:


Related polyhedra


External links

*
Interactive model of an Octagonal Prism
{{Polyhedron-stub Zonohedra Prismatoid polyhedra