Hexadecintercepted tesseract
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| Hexadecintercepted tesseract | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Hinnit |
| Elements | |
| Cells | 16 truncated tetrahedra, 8 cuboctahedra |
| Faces | 64 triangles, 24 squares, 32 hexagons |
| Edges | 96 |
| Vertices | 32 |
| Vertex figure | Triangular toroprism, edge lengths 1 (base edges), √2 (sides of rectangles), and √3 (sides of triangles) |
| Edge figure | co 4 co 3 tut 6 tut 6 tut 3 |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | |
| Dichoral angles | Co–4–co: 90° |
| Co–3–tut: 60° | |
| Tut–6–tut: 60° | |
| Central density | 5 |
| Number of pieces | 72 |
| Level of complexity | 6 |
| Related polytopes | |
| Army | Rit |
| Regiment | Rit |
| Conjugate | None |
| Convex core | Hexadecachoron |
| Abstract properties | |
| Euler characteristic | 32 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Wild |
The hexadecintercepted tesseract, or hinnit, is a nonconvex uniform polychoron that consists of 8 cuboctahedra and 16 truncated tetrahedra. 3 cuboctahedra and 6 truncated tetrahedra join at each vertex.
It is wild because it has cuboctahedra intercepted by hexagons.
It also has 16 tetrahedra as pseudofacets.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified tesseract.
External links[edit | edit source]
- Bowers, Jonathan. "Category 3: Triangular Rectates" (#44).
- Klitzing, Richard. "hinnit".