Uniform antiprismatic prism
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.
| 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 |
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.
Schlegel diagram |
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