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Encyclopedia > Octagonal prism
Octagonal prism
Octagonal prism
Type Semiregular polyhedra
Faces 2 Hexagons
8 square
Edges 24
Vertices 16
Euler characteristic {{{Euler_characteristic}}}
Vertex configuration 4.4.8
Wythoff symbol 2 8 | 2
Symmetry group D8h
Dual polyhedron Hexagonal_dipyramid
Properties convex, zonohedron
Octagonal prism
Vertex Figure

In geometry, the octagonal prism is the sixth in an infinite set of prisms formed by square sides and two regular polygon caps. Image File history File links Octagonal_prism. ... It has been suggested that the section Semi-regular polyhedra from the article Polyhedron be merged into this article or section. ... A regular hexagon A hexagon is a polygon with six edges and six vertices. ... In plane geometry, a square is a polygon with four equal sides and equal angles. ... In algebraic topology, the Euler characteristic is a topological invariant (in fact, homotopy invariant) defined for a broad class of topological spaces. ... The symmetry group of an object (e. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... In mathematics, an object is convex if for any pair of points within the object, any point on the straight line segment that joins them is also within the object. ... A zonohedron is a convex polyhedron where every face is a polygon with point symmetry, or equivalently, symmetry under rotations through 180°. The regular polygons with such symmetry are those with an even number of sides, so the zonohedra with regular polygons for sides are easily enumerated: Of the Platonic... Image File history File links Octagonal_prism_vertfig. ... Geometry (Greek γεωμετρία; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. ... In geometry, a prism is a polyhedron made of two parallel copies of some polygonal base joined by faces that are rectangles or parallelograms. ...


If faces are all regular, it is a semiregular polyhedron. It has been suggested that the section Semi-regular polyhedra from the article Polyhedron be merged into this article or section. ...


See also


 

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