Great quasirhombated tesseract
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Great quasirhombated tesseract | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gaqrit |
Coxeter diagram | x4/3x3x3o () |
Elements | |
Cells | 32 triangular prisms, 16 truncated tetrahedra, 8 quasitruncated cuboctahedra |
Faces | 64 triangles, 96 squares, 64 hexagons, 24 octagrams |
Edges | 96+96+192 |
Vertices | 192 |
Vertex figure | Sphenoid, edge lengths 1 (1), √2 (2), √3 (2), and √2–√2 (1) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Quitco–4–trip: |
Quitco–8/3–quitco: 90° | |
Quitco–6–tut: 60° | |
Tut–3–trip: 30° | |
Number of external pieces | 512 |
Level of complexity | 80 |
Related polytopes | |
Army | Semi-uniform Grit, edge lengths (octagons), (triangles) |
Regiment | Gaqrit |
Conjugate | Great rhombated tesseract |
Convex core | Semi-uniform truncated hexadecachoron |
Abstract & topological properties | |
Flag count | 4608 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The great quasirhombated tesseract, or gaqrit, is a nonconvex uniform polychoron that consists of 32 triangular prisms, 16 truncated tetrahedra, and 8 quasitruncated cuboctahedra. 1 triangular prism, 1 truncated tetrahedron, and 2 quasitruncated cuboctahedra join at each vertex. As the name suggests, it can be obtained by quasicantitruncating the tesseract.
Gallery[edit | edit source]
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Vertices and edges
Vertex coordinates[edit | edit source]
The vertices of a great quasirhombated tesseract of edge length 1 are given by all permutations of:
External links[edit | edit source]
- Bowers, Jonathan. "Category 8: Great Rhombates" (#315).
- Klitzing, Richard. "gaqrit".