Great ditetrahedronary dishecatonicosachoron
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Great ditetrahedronary dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Giddatady |
Coxeter diagram | o3o3o3/2x5*b () |
Elements | |
Cells | 120 dodecahedra, 120 great ditrigonary icosidodecahedra |
Faces | 1200 triangles, 1440 pentagons |
Edges | 3600 |
Vertices | 600 |
Vertex figure | Hypertruncated tetrahedron, edge lengths (1+√5)/2 (triangle edges) and 1 (other edges) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Gidtid–3–gidtid: 120° |
Gidtid–5–doe: 72° | |
Central density | –39 |
Number of external pieces | 22920 |
Level of complexity | 85 |
Related polytopes | |
Army | Hi, edge length |
Regiment | Dattady |
Conjugate | Ditetrahedronary dishecatonicosachoron |
Abstract & topological properties | |
Flag count | 43200 |
Euler characteristic | –600 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great ditetrahedronary dishecatonicosachoron, or giddatady, is a nonconvex uniform polychoron that consists of 120 regular dodecahedra and 120 great ditrigonary icosidodecahedra. 4 great ditrigonary icosidodecahedra and 4 dodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#817).
- Klitzing, Richard. "giddatady".