Quasirhombated tesseract
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Quasirhombated tesseract | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Qrit |
Coxeter diagram | x4/3o3x3o () |
Elements | |
Cells | 16 octahedra, 32 triangular prisms, 8 quasirhombicuboctahedra |
Faces | 64+64 triangles, 24+96 squares |
Edges | 96+192 |
Vertices | 96 |
Vertex figure | Crossed wedge, edge lengths 1 (base square) and √2 (top and side edges) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Querco–4–querco: 90° |
Querco–3–oct: 60° | |
Querco–4–trip: | |
Oct–3–trip: 30° | |
Related polytopes | |
Army | Srit, edge length |
Regiment | Wavitoth |
Conjugate | Small rhombated tesseract |
Convex core | Joined tesseract |
Abstract & topological properties | |
Flag count | 3456 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The quasirhombated tesseract, or qrit, is a nonconvex uniform polychoron that consists of 16 regular octahedra, 32 triangular prisms, and 8 quasirhombicuboctahedra. 1 octahedron, 2 triangular prisms, and 2 quasirhombicuboctahedra join at each vertex. It can be obtained by quasicantellating the tesseract.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the sphenoverted tesseractitesseractihexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#222).
- Klitzing, Richard. "qrit".