Tesseractihexadecaquasitruncated tesseractihexadecachoron
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Tesseractihexadecaquasitruncated tesseractihexadecachoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Thaquitoth |
Coxeter diagram | o3x3x4x4/3*b () |
Elements | |
Cells | 16 truncated tetrahedra, 8 quasitruncated hexahedra, 8 cuboctatruncated cuboctahedra |
Faces | 64 triangles, 64 hexagons, 24 octagons, 48 octagrams |
Edges | 96+96+192 |
Vertices | 192 |
Vertex figure | Sphenoid, edge lengths 1 (1), √3 (2), √2+√2 (1), and √2–√2 (2) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Tut–3–quith: 120° |
Cotco–8/3–quith: 90° | |
Cotco–8–cotco: 90° | |
Cotco–6–tut: 60° | |
Number of external pieces | 392 |
Level of complexity | 70 |
Related polytopes | |
Army | Semi-uniform Prit, edge lengths (small rhombicuboctahedra), 1 (sides of square prisms) |
Regiment | Thaquitoth |
Conjugate | Tesseractihexadecatruncated tesseractihexadecachoron |
Convex core | Tesseract |
Abstract & topological properties | |
Flag count | 4608 |
Euler characteristic | –24 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Tame |
The tesseractihexadecaquasitruncated tesseractihexadecachoron, or thaquitoth, is a nonconvex uniform polychoron that consists of 16 truncated tetrahedra, 8 quasitruncated hexahedra, and 8 cuboctatruncated cuboctahedra. 1 truncated tetrahedron, 1 quasitruncated hexahedron, and 2 cuboctatruncated cuboctahedra join at each vertex.
Gallery[edit | edit source]
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A series of slices
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The vertices and edges of the thaquitoth regiment.
Vertex coordinates[edit | edit source]
The vertices of a tesseractihexadecaquasitruncated tesseractihexadecachoron of edge length 1 are given by all permutations of:
External links[edit | edit source]
- Bowers, Jonathan. "Category 8: Great Rhombates" (#323).
- Klitzing, Richard. "thaquitoth".