Uniform antiprismatic prism

Set of uniform antiprismatic prisms
Type Prismatic uniform 4-polytope
Schläfli symbol s{2,p}×{}
Coxeter diagram
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
Trapezoidal pyramid
Symmetry group [2p,2+,2], order 8p
[(p,2)+,2], order 4p
Properties convex if the base is convex

In 4-dimensional geometry, a uniform antiprismatic prism or antiduoprism is a uniform 4-polytope with two uniform antiprism cells in two parallel 3-space hyperplanes, connected by uniform prisms cells between pairs of faces. The symmetry of a p-gonal antiprismatic prism is [2p,2+,2], order 8p.

A p-gonal antiprismatic prism or p-gonal antiduoprism has 2 p-gonal antiprism, 2 p-gonal prism, and 2p triangular prism cells. It has 4p equilateral triangle, 4p square and 4 regular p-gon faces. It has 10p edges, and 4p vertices.

Example 15-gonal antiprismatic prism

Schlegel diagram

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