Invertifrustary pentishecatonicosidishexacosichoron
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Invertifrustary pentishecatonicosidishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Ifophiddix |
Elements | |
Cells | 120 did, 600 oct, 120 gaddid 120 giid, 120 sird, 120 quitdid, 600 toe |
Faces | 4800 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagons, 1440 decagrams |
Edges | 7200+7200 |
Vertices | 3600 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Xhi |
Regiment | Affixthi |
Conjugate | Rifdixophi |
Abstract & topological properties | |
Euler characteristic | 6960 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The invertifrustary pentishecatonicosidishexacosichoron, or ifophiddix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great dodecicosidodecahedra, 120 great icosicosidodecahedra, 120 small rhombidodecahedra, 120 quasitruncated dodecadodecahedra, and 600 truncated octahedra. One dodecadodecahedron, one octahedron, two great dodecicosidodecahedra, two great icosicosidodecahedra, two small rhombidodecahedra, four quasitruncated dodecadodecahedra, and four truncated octahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 16: Affixthi Regiment" (#749).
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