Small hexadecahemihexadecachoron
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| Small hexadecahemihexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Shahoh |
| Elements | |
| Cells | 16 octahedra, 8 octahemioctahedra |
| Faces | 32+64 triangles, 16 hexagons |
| Edges | 96 |
| Vertices | 24 |
| Vertex figure | Inverted square prism, edge lengths 1 (base and sides of prism) and √2 (diagonal side edges) |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Hypervolume | |
| Dichoral angles | Oct–3–oct: 120° |
| Oho–6–oho: 120° | |
| Oct–3–oho: 60° | |
| Number of external pieces | 80 |
| Level of complexity | 6 |
| Related polytopes | |
| Army | Ico |
| Regiment | Ico |
| Conjugate | None |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | B4, order 38 |
| Convex | No |
| Nature | Tame |
The small hexadecahemihexadecachoron, or shahoh, is a nonconvex uniform polychoron. It consists of 16 octahedra and 8 central octahemioctahedra, with 4 octahedra and 4 octahemioctahedra at each vertex.
As well as being isogonal, it is also isotoxal.
Gallery[edit | edit source]
Cross-sections
One of each cell
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the icositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 4: Ico Regiment" (#62).
- Klitzing, Richard. "shahoh".