Small tristetracosioctacontachoron
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| Small tristetracosioctacontachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Setut |
| Elements | |
| Cells | 480 tetrahedra, 480 triangular prisms, 480 tetrahemihexahedra |
| Faces | 480+480+1440 triangles, 1440 squares |
| Edges | 480+720 |
| Vertices | 120 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Great tristetracosioctacontachoron |
| Abstract & topological properties | |
| Flag count | 51840 |
| Euler characteristic | 1320 |
| Properties | |
| Symmetry | A3●H3, order 1440 |
| Convex | No |
The small tristetracosioctacontachoron, or setut, is a nonconvex uniform polychoron that consists of 480 tetrahedra, 480 triangular prisms, and 480 tetrahemihexahedra. Sixteen tetrahedra, twenty-four triangular prisms, and twenty-four tetrahemihexahedra join at each vertex.
It has the same cell counts as the great tristetracosioctacontachoron, but the tetrahemihexahedra are in different positions.
It was discovered in 2020 by Jonathan Bowers following _Geometer's discovery of sidditsphit and gidditsphit.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 20: Miscellaneous" (#1852).
- Klitzing, Richard. "setut".
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