Small tesseractifaceted cubitesseractihexadecachoron
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| Small tesseractifaceted cubitesseractihexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Stefacoth |
| Elements | |
| Cells | 16 tetrahedra, 24 cubes, 8 small rhombicuboctahedra |
| Faces | 64 triangles, 48+96 squares |
| Edges | 96+96 |
| Vertices | 64 |
| Vertex figure | Irregular triangular hemiantipodium, edge lengths 1 (top triangle) and √2 (base pseudo-triangle and sides) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Sirco–4–cube #1: 90° |
| Sirco–3–tet: 60° | |
| Sirco–4–cube #2: 45° | |
| Number of external pieces | 256 |
| Level of complexity | 24 |
| Related polytopes | |
| Army | Sidpith |
| Regiment | Sidpith |
| Conjugate | Great tesseractifaceted cubitesseractihexadecachoron |
| Abstract & topological properties | |
| Flag count | 3072 |
| Euler characteristic | 32 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Tame |
The small tesseractifaceted cubitesseractihexadecachoron, or stefacoth, is a nonconvex uniform polychoron that consists of 16 tetrahedra, 24 cubes, and 8 small rhombicuboctahedra. One tetrahedron, three cubes, and three small rhombicuboctahedra join at each vertex.
It also has 8 cubes and 32 triangular prisms as pseudofacets.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small disprismatotesseractihexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 11: Antipodiumverts" (#448).
- Klitzing, Richard. "stefacoth".