Pentachoric hemiantiprism
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| Pentachoric hemiantiprism | |
|---|---|
| File:Pentachoric hemiantiprism.png | |
| Rank | 5 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Phap |
| Elements | |
| Tera | 2+10 pentachora, 5 tesseractihemioctachora |
| Cells | 10+40 tetrahedra, 10 octahedra |
| Faces | 20+60 triangles |
| Edges | 20+20 |
| Vertices | 10 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Tac |
| Regiment | Tac |
| Conjugate | None |
| Abstract & topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | A4×2×A1+, order 240 |
| Convex | No |
| Nature | Wild |
The pentachoric hemiantiprism, or phap, is a uniform hemipolyteron. It has 2+10 regular pentachora and 5 central tesseractihemioctachora as facets, with 1+5 pentachora and 4 tesseractihemioctachora at each vertex.
It is a faceting of the triacontaditeron, with pentachoric antiprismatic symmetry. The pentachora of the triacontaditeron are arranged in a 1 5 10 10 5 1 arrangement, with the pentachora of the pentachoric hemiantiprism in the 1 and 5 spots.
External links[edit | edit source]
- Bowers, Jonathan. "Category 1: Primary Polytera" (#5).