Truncated ditrigonary dishecatonicosachoron
Jump to navigation
Jump to search
Truncated ditrigonary dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Tidtidohi |
Coxeter diagram | x3x5o3o5/3*b () |
Elements | |
Cells | 120 ditrigonary dodecadodecahedra, 120 truncated icosahedra, 120 truncated great icosahedra |
Faces | 1440 pentagons, 1440 pentagrams, 2400 hexagons |
Edges | 1200+7200 |
Vertices | 2400 |
Vertex figure | Propeller tripod pyramid, base edge lengths (√5–1)/2 and (1+√5)/2, side edge length √3 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Ditdid–5/2–tiggy: 144° |
Ditdid–5–ti: 72° | |
Tiggy–6–ti: 60° | |
Central density | 30 |
Number of external pieces | 67800 |
Level of complexity | 186 |
Related polytopes | |
Army | Semi-uniform Sidpixhi, edge lengths (dodecahedra), (tetrahedra) |
Regiment | Tissidtixhi |
Conjugate | Truncated ditrigonary dishecatonicosachoron |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Flag count | 115200 |
Euler characteristic | –1080 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The truncated ditrigonary dishecatonicosachoron, or tidtidohi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 truncated icosahedra, and 120 truncated great icosahedra. 1 ditrigonary dodecadodecahedron, 3 truncated icosahedra, and 3 truncated great icosahedra join at each vertex. As the name suggests, it can be obtained by truncating the ditrigonary dishecatonicosachoron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the truncated small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 2: Truncates" (#32).
- Klitzing, Richard. "tidtidohi".