Hexadecaoctahemihexadecachoron
Jump to navigation
Jump to search
| Hexadecaoctahemihexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Hohoh |
| Elements | |
| Cells | 8 octahedra, 16 tetrahemihexahedra, 8 cubohemioctahedra |
| Faces | 64 triangles, 48 squares, 16 hexagons |
| Edges | 96 |
| Vertices | 24 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Dichoral angles | Oct–3–thah: 120° |
| Thah–4–cho: 90° | |
| Cho–6–cho: 60° | |
| Number of external pieces | 264 |
| Level of complexity | 17 |
| Related polytopes | |
| Army | Ico |
| Regiment | Ico |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 24 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Wild |
The hexadecaoctahemihexadecachoron, or hohoh, is a nonconvex uniform polychoron. It consists of 8 octahedra, 16 tetrahemihexahedra, and 8 central cubohemioctahedra, with 4 tetrahemihexahedra, 2 octahedra, and 4 cubohemioctahedra 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" (#64).
- Klitzing, Richard. "hohoh".