| Pentagonal antiprismatic prism | |
|---|---|
Schlegel diagram |
|
| Type | Uniform antiprismatic prism |
| Schläfli symbol | s{2,5}x{} |
| Coxeter-Dynkin | |
| Cells | 2 (3.3.3.5) 10 (3.4.4) 2 (4.4.5) |
| Faces | 20 {3}, 20 {4}, 4 {5} |
| Edges | 50 |
| Vertices | 20 |
| Vertex figure | irregular quadrilateral pyramid |
| Symmetry group | [(2,5)+,2] |
| Properties | convex |
In geometry, a pentagonal antiprismatic prism is a convex uniform polychoron (four dimensional polytope). It is formed as two parallel pentagonal antiprisms connected by cubes and triangular prisms.
It is the third in an infinite series of uniform antiprismatic hyperprisms. The first is the triangular antiprism prism, which is also an octahedral prism.