Octahexadecahemihexadecachoron
The octahexadecahemihexadecachoron, or ohuhoh, is a nonconvex uniform polychoron. It consists of 8 octahedra, 16 tetrahemihexahedra, and 8 central cuboctahedra, with 4 tetrahemihexahedra, 2 octahedra, and 4 cuboctahedra at each vertex.
| Octahexadecahemihexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Ohuhoh |
| Elements | |
| Cells | |
| Faces | |
| Edges | 96 |
| Vertices | 24 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Dichoral angle | Thah–3–thah: 120° Thah–4–co: 90° Oct–3–co: 60° |
| Number of external pieces | 328 |
| Level of complexity | 21 |
| Related polytopes | |
| Army | Ico |
| Regiment | Ico |
| Conjugate | None |
| Abstract & topological properties | |
| Flag count | 1920 |
| Euler characteristic | 40 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Flag orbits | 5 |
| Convex | No |
| Nature | Wild |
Gallery edit
-
Cross-sections -
One of each cell
Vertex coordinates edit
Its vertices are the same as those of its regiment colonel, the icositetrachoron.
External links edit
- Bowers, Jonathan. "Category 4: Ico Regiment" (#65).
- Klitzing, Richard. "ohuhoh".