Great invertifrustary tetrishecatonicosihexacosichoron
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Great invertifrustary tetrishecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gifuthix |
Elements | |
Cells | 120 did, 600 oct, 120 gidditdid, 120 sidditdid, 120 idtid |
Faces | 4800 triangles, 1440 pentagons, 1440 pentagrams, 1200 hexagons, 1440 decagons, 1440 decagrams |
Edges | 7200+7200 |
Vertices | 3600 |
Vertex figure | Windowed rectangular frustrum |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Xhi |
Regiment | Affixthi |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | –120 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great invertifrustary tetrishecatonicosihexacosichoron, or gifuthix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 icosidodecatruncated icosidodecahedra. One dodecadodecahedron, one octahedron, two great ditrigonal dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four icosidodecatruncated icosidodecahedra 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" (#716).
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