Grand ditrigonary hexacositrishecatonicosachoron
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Grand ditrigonary hexacositrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadtixthi |
Elements | |
Cells | 120 ditdid, 120 gidditdid, 120 siid, 600 oho |
Faces | 4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Midtixthi |
Abstract & topological properties | |
Euler characteristic | 3840 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The grand ditrigonary hexacositrishecatonicosachoron, or gadtixthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 600 octahemioctahedra. Two ditrigonary dodecadodecahedra, six great ditrigonal dodecicosidodecahedra, six small icosicosidodecahedra, and six octahemioctahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1227).
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