Small tesseractitesseractihexadecachoron
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Small tesseractitesseractihexadecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Steth |
Coxeter diagram | o3o3x4x4/3*b () |
Elements | |
Cells | 16 tetrahedra, 8 cubes, 8 small cubicuboctahedra |
Faces | 64 triangles, 48 squares, 24 octagons |
Edges | 96+96 |
Vertices | 64 |
Vertex figure | Crossed triangular frustum, edge lengths 1 (small base), √2 (large base), and √2+√2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Socco–8–socco: 90° |
Socco–4–cube: 90° | |
Socco–3–tet: 60° | |
Central density | 3 |
Number of external pieces | 136 |
Level of complexity | 12 |
Related polytopes | |
Army | Sidpith |
Regiment | Sidpith |
Conjugate | Great tesseractitesseractihexadecachoron |
Abstract & topological properties | |
Flag count | 2304 |
Euler characteristic | –24 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The small tesseractitesseractihexadecachoron, or steth, is a nonconvex uniform polychoron that consists of 16 regular tetrahedra, 8 cubes, and 8 small cubicuboctahedra. 1 tetrahedron, 1 cube, and 3 small cubicuboctahedra join at each vertex.
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" (#450).
- Klitzing, Richard. "steth".