Great retrohecatonicosihexacosihecatonicosachoron
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Great retrohecatonicosihexacosihecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Girhixhi |
Elements | |
Cells | 600 truncated tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 icosidodecatruncated icosidodecahedra |
Faces | 2400 triangles, 2400 hexagons, 720 decagons, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Isosceles triangular retroprism, edge lengths 1 (2), √3 (4), √(5+√5)/2 (2), and √(5–√5)/2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Idtid–6–tut: |
Idtid–10/3–quit gissid: 72° | |
Idtid–10–idtid: 36° | |
Quit gissid–3–tut: | |
Related polytopes | |
Army | Semi-uniform Srahi |
Regiment | Gwav ditathi |
Conjugate | Small retrohecatonicosihexacosihecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1080 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great retrohecatonicosihexacosihecatonicosachoron, or girhixhi, is a nonconvex uniform polychoron that consists of 120 quasitruncated great stellated dodecahedra, 600 truncated tetrahedra, and 120 icosidodecatruncated icosidodecahedra. Two quasitruncated great stellated dodecahedra, two truncated tetrahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the great sphenoverted ditrigonal trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#252).