Icositetrahemiicositetrachoron
(Redirected from Ihi)
| Icositetrahemiicositetrachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Ihi |
| Elements | |
| Cells | |
| Faces | |
| Edges | 96 |
| Vertices | 24 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Dichoral angle | Thah–4–co: 90° Thah–3–co: 60° |
| Number of external pieces | 480 |
| Level of complexity | 20 |
| Related polytopes | |
| Army | Ico |
| Regiment | Ico |
| Conjugate | None |
| Abstract & topological properties | |
| Flag count | 2304 |
| Euler characteristic | 60 |
| Orientable | No |
| Properties | |
| Symmetry | F4/2, order 576 |
| Flag orbits | 4 |
| Convex | No |
| Nature | Wild |
The icositetrahemiicositetrachoron, or ihi, is a nonconvex uniform polychoron. It has 24 tetrahemihexahedra and 12 central cuboctahedra, with 6 tetrahemihexahedra and 6 cuboctahedra at each vertex. Its vertex figure is a faceting of the cube with pyritohedral symmetry.
As well as being isogonal, it is also isotoxal.
Gallery[edit | edit source]
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" (#60).
- Klitzing, Richard. "ihi".