Invertofrustary tetrishecatonicosachoron
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Invertofrustary tetrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Ifthi |
Elements | |
Cells | 120 gaddid, 120 gidditdid, 120 saddid, 120 sidditdid |
Faces | 4800 triangles, 1440 pentagons, 1440 pentagrams, 1440 decagons, 1440 decagrams |
Edges | 7200+7200 |
Vertices | 3600 |
Vertex figure | Inverted rectangular frustum, edge lengths 1 (top square), (1+√5)/2 and (√5–1)/2 (base rectangle), and √(5–√5)/2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Xhi |
Regiment | Affixthi |
Conjugate | None |
Abstract & topological properties | |
Euler characteristic | –720 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The invertofrustary tetrishecatonicosachoron, or ifthi, is a nonconvex uniform polychoron that consists of 120 great dodecicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two great dodecicosidodecahedra, two great ditrigonal dodecicosidodecahedra, two small dodecicosidodecahedra, and two small ditrigonal dodecicosidodecahedra 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" (#667).
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