Grand quasirhombic dishecatonicosachoron
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Grand quasirhombic dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gaqrady |
Elements | |
Cells | 120 great rhombidodecahedra, 120 great quasitruncated icosidodecahedra |
Faces | 3600 squares, 1200 hexagons, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Crossed butterfly wedge, edge lengths √2 (4), √3 (2), √(5–√5)/2 (4) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Gird–4–gaquatid: 90° |
Gird–10/3–gaquatid: 72° | |
Gaquatid–6–gaquatid: 60° | |
Related polytopes | |
Army | Semi-uniform srix |
Regiment | Gwavathi |
Conjugate | Grand rhombic dishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1200 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The grand quasirhombic dishecatonicosachoron, or gaqrady, is a nonconvex uniform polychoron that consists of 120 great rhombidodecahedra and 120 great quasitruncated icosidodecahedra. Two great rhombidodecahedra 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" (#295).