Rectified tesseractihemioctachoron
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| Rectified tesseractihemioctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Ratho |
| Coxeter diagram | (x3o3x3o3/2*a)/2 |
| Elements | |
| Cells | |
| Faces | |
| Edges | 96 |
| Vertices | 24 |
| Vertex figure | Bowtie prism, base edge lengths 1 and √2, side edge length 1 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Dichoral angle | Oct–3–thah: 120° Thah–4–co: 90° Oct–3–co: 60° |
| Number of external pieces | 72 |
| Level of complexity | 14 |
| Related polytopes | |
| Army | Ico |
| Regiment | Ico |
| Conjugate | None |
| Abstract & topological properties | |
| Flag count | 1152 |
| Euler characteristic | –4 |
| Orientable | No |
| Properties | |
| Symmetry | D4, order 192 |
| Flag orbits | 6 |
| Convex | No |
| Nature | Tame |
The rectified tesseractihemioctachoron, or ratho, is a nonconvex uniform polychoron that consists of 8 regular octahedra, 8 tetrahemihexahedra, and 4 cuboctahedra. Two of each type of cell join at each bowtie prismatic vertex. As the name suggests, it can be obtained by rectifying the tesseractihemioctachoron.
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" (#67).
- Klitzing, Richard. "ratho".