Grand ditetrahedronary dishecatonicosachoron
(Redirected from Gadatady)
Grand ditetrahedronary dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gadatady |
Coxeter diagram | o3o3o5x5/3*b () |
Elements | |
Cells | 120 great stellated dodecahedra, 120 ditrigonary dodecadodecahedra |
Faces | 720 pentagons, 1440 pentagrams |
Edges | 3600 |
Vertices | 600 |
Vertex figure | Antitruncated tetrahedron, edge lengths (√5–1)/2 (triangle edges) and (1+√5)/2 (other edges) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Ditdid–5–ditdid: 72° |
Ditdid–5/2–gissid: 72° | |
Central density | 115 |
Number of external pieces | 60120 |
Level of complexity | 233 |
Related polytopes | |
Army | Hi |
Regiment | Gadtaxady |
Conjugate | Small ditetrahedronary dishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1080 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The grand ditetrahedronary dishecatonicosachoron, or gadatady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra and 120 ditrigonary dodecadodecahedra. 4 ditrigonary dodecadodecahedra and 4 great stellated dodecahedra join at each vertex.
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 18: Ditetrahedrals" (#855).
- Klitzing, Richard. "gadatady".