Great ditrigonary hexacosihecatonicosiprismatohecatonicosachoron
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Great ditrigonary hexacosihecatonicosiprismatohecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidtixhiphi |
Elements | |
Cells | 120 ditdid, 120 ided, 720 dip, 600 cho |
Faces | 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Sidtixhiphi |
Abstract & topological properties | |
Euler characteristic | 3840 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great ditrigonary hexacosihecatonicosiprismatohecatonicosachoron, or gidtixhiphi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecadodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Two ditrigonary dodecadodecahedra, six icosidodecadodecahedra, twelve decagonal prisms, and six cubohemioctahedra 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" (#1264).
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