Great hecatonicosihecatonicosihexacosichoron
Jump to navigation
Jump to search
Great hecatonicosihecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gohihix |
Coxeter diagram | o3o3/2x3x5*b () |
Elements | |
Cells | 600 tetrahedra, 120 dodecahedra, 120 great icosicosidodecahedra |
Faces | 2400 triangles, 1440 pentagons, 1200 hexagons |
Edges | 3600+3600 |
Vertices | 2400 |
Vertex figure | Crossed triangular frustum, edge lengths 1 (small base), (1+√5)/2 (large base), and √3 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Giid–6–giid: 120° |
Giid–5–doe: 72° | |
Giid–3–tet: | |
Related polytopes | |
Army | Semi-uniform Sidpixhi |
Regiment | Gixhidy |
Conjugate | Small hecatonicosihecatonicosihexacosichoron |
Abstract & topological properties | |
Euler characteristic | –600 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great hecatonicosihecatonicosihexacosichoron, or gohihix, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 regular dodecahedra, and 120 great icosicosidodecahedra. 1 tetrahedron, 1 dodecahedron, and 3 great icosicosidodecahedra 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" (#478).
- Klitzing, Richard. "gohihix".