Grand hecatonicosintercepted trishecatonicosachoron
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Grand hecatonicosintercepted trishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gahinathi |
Elements | |
Cells | 120 dodecadodecahedra, 120 quasitruncated small stellated dodecahedra, 120 quasirhombicosidodecahedra, 120 great quasitruncated icosidodecahedra |
Faces | 1200 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Windowed wedge, edge lengths 1 (1), √2 (4), (1+√5)/2 (2), (√5–1)/2 (2), √3 (2), and √(5–√5)/2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Qrid–3–qrid: 120° |
Did–5–quit sissid: 108° | |
Qrid–4–gaquatid: 90° | |
Qrid–5/2–did: 72° | |
Gaquatid–6–gaquatid: 60° | |
Quit sissd–10/3–gaquatid: 36° | |
Related polytopes | |
Army | Semi-uniform srix |
Regiment | Gwavathi |
Conjugate | Small dishecatonicosintercepted dishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 2640 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The grand hecatonicosintercepted trishecatonicosachoron, or gahinathi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 quasirhombicosidodecahedra, 120 quasitruncated small stellated dodecahedra, and 120 great quasitruncated icosidodecahedra. One dodecadodecahedron, two quasirhombicosidodecahedra, two quasitruncated small stellated dodecahedra, and four great quasitruncated icosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the great sphenoverted trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#297).