Small tritrigonary trishecatonicosachoron
Jump to navigation
Jump to search
Small tritrigonary trishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Stittathi |
Elements | |
Cells | 120 ditrigonary dodecadodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra |
Faces | 2400 triangles, 1440 pentagons, 1440 pentagrams, 1440 decagons |
Edges | 3600+7200 |
Vertices | 2400 |
Vertex figure | Inverted retrotriangular cupola, edge lengths 1 (top pseudo-triangle), (1+√5)/2 and (√5–1)/2 (base propeller), and √(5+√5)/2 (sides) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Ditdid–5/2–sidditdid: 144° |
Ditdid–5–saddid: 144° | |
Saddid–10–sidditdid: 144° | |
Saddid–3–sidditdid: 120° | |
Related polytopes | |
Army | Semi-uniform sidpixhi, edge lengths (dodecahedra), 1 (tetrahedra) |
Regiment | Stut phiddix |
Conjugate | Great tritrigonary trishecatonicosachoron |
Abstract & topological properties | |
Flag count | 144000 |
Euler characteristic | –2040 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The small tritrigonary trishecatonicosachoron, or stittathi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 small dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. One ditrigonary dodecadodecahedron, three small dodecicosidodecahedra, and three small ditrigonal dodecicosidodecahedra join at each vertex.
It is a blend of a small tritrigonary hecatonicosihexacosidishecatonicosachoron and a small tritrigonary hexacositrishecatonicosachoron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 24: Stut Phiddix Regiment" (#1308).
This article is a stub. You can help Polytope Wiki by expanding it. |