Uniform antiprismatic prism

Set of uniform antiprismatic prisms Example square antiprismatic prism Schlegel diagram
Type	Prismatic uniform polychoron
Schläfli symbol	s{p,2}x{}
Coxeter-Dynkin
Cells	2 p-gonal antiprisms, 2 p-gonal prisms and 2p triangular prisms
Faces	4p {3}, 4p {4} and 4 {p}
Edges	10p
Vertices	4p
Vertex figure	irregular quadrilateral pyramid (Example for square antiprismmic prism)
Symmetry group	[2p] x [ ]
Properties	convex if the base is convex
(Example net for square antiprismatic prism)

In 4-dimensional geometry, a uniform antiprismatic prism is a uniform polychoron with two uniform antiprism cells in two parallel 3-space hyperplanes, connected by uniform prisms cells between pairs of faces.

A p-gonal antiprismatic prism has 4p triangle, 4p square and 4 p-gon faces. It has 10p edges, and 4p vertices.

The convex set includes:

Triangular antiprismatic prism - - 2 octahedra connected by 8 triangular prisms (same as the octahedral prism)
Square antiprismatic prism - - 2 square antiprisms connected by 2 cubes and 8 triangular prisms
Pentagonal antiprismatic prism - - 2 pentagonal antiprisms connected by 2 pentagonal prisms and 10 triangular prisms
Hexagonal antiprismatic prism - - 2 hexagonal antiprisms connected by 2 hexagonal prisms and 12 triangular prisms
Heptagonal antiprismatic prism - - 2 heptagonal antiprisms connected by 2 heptagonal prisms and 14 triangular prisms
Octagonal antiprismatic prism - - 2 octagonal antiprisms connected by 2 octagonal prisms and 16 triangular prisms
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