Small rhombic dishecatonicosachoron
Jump to navigation
Jump to search
Small rhombic dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sirdhi |
Elements | |
Cells | 1200 triangular prisms, 120 truncated dodecahedra, 120 small rhombidodecahedra |
Faces | 2400 triangles, 3600 squares, 1440 decagons |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Butterfly wedge, edge lengths 1 (base), √2 (sides of outer triangles), and √(5+√5)/2 (sides of inner triangles) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Sird–4–trip: |
Tid–3–trip: 150° | |
Sird–10–tid: 144° | |
Related polytopes | |
Army | Srahi |
Regiment | Srahi |
Conjugate | Great rhombic dishecatonicosachoron |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Flag count | 144000 |
Euler characteristic | –1200 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The small rhombic dishecatonicosachoron, or sirdhi, is a nonconvex uniform polychoron that consists of 120 truncated dodecahedra, 120 small rhombidodecahedra, and 1200 triangular prisms. 2 of each type of cell join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#160).