Great spinohexacosidishecatonicosachoron
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Great spinohexacosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Ganxady |
Elements | |
Cells | 600 tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 great dodecicosahedron |
Faces | 2400 triangles, 1200 hexagons, 1440 decagrams |
Edges | 3600+3600 |
Vertices | 2400 |
Vertex figure | Triangular crown, edge lengths 1 (top triangle), √(5–√5)/2 (side edges of triangles), and √3 (edges between butterflies) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Giddy–6–giddy: 120° |
Giddy–10/3–quit gissid: 108° | |
Tet–3–quit gissid: | |
Number of external pieces | 27960 |
Level of complexity | 89 |
Related polytopes | |
Army | Semi-uniform Sidpixhi |
Regiment | Gixhidy |
Conjugate | Small spinohexacosidishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –600 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great spinohexacosidishecatonicosachoron, or ganxady, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 quasitruncated great stellated dodecahedra, and 120 great dodecicosahedra. One tetrahedron, three quasitruncated great stellated dodecahedra, and three great dodecicosahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great hexacosihecatonicosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 11: Antipodiumverts" (#480).