Great tripesic hecatonicosachoron
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Great tripesic hecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gitphi |
Coxeter diagram | (o5x5/3x5o)/2 |
Elements | |
Cells | 120 quasitruncated small stellated dodecahedra |
Faces | 720 pentagons, 720 decagrams |
Edges | 3600 |
Vertices | 600 |
Vertex figure | Compound of 3 tetragonal disphenoids, edge lengths (1+√5)/2 (base) and √(5–√5)/2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Inradius | |
Hypervolume | |
Dichoral angles | Quit sissid–5–quit sissid: 144° |
Quit sissid–10/3–quit sissid: 36° | |
Related polytopes | |
Army | Hi |
Regiment | Gadtaxady |
Conjugate | Small tripesic hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1680 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great tripesic hecatonicosachoron, or gitphi, is a nonconvex noble fissary uniform polychoron that consists of 120 quasitruncated small stellated dodecahedra as cells. 12 cells join at each vertex.
It is fissary due to having a compound vertex figure, specifically a compound of three disphenoids. It shares its edges with the grand ditetrahedronary hexacosidishecatonicosachoron.
A double cover of this polychoron can be seen as the biquasitruncated great hecatonicosachoron.
Cross sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 7: Bitruncates" (#F2).
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F2).
- Klitzing, Richard. "gitphi".