Tetrasnub antipodic disdecachoron
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| Tetrasnub antipodic disdecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Tesapdid |
| Elements | |
| Cells | 60+120+120 tetrahedra, 40+120 octahedra, 10 icosahedra, 10 great icosahedra |
| Faces | 40+40+40+120+120+120+120+120+120+120+120+120+120+120 triangles |
| Edges | 60+60+120+120+120+120+120+120+120 |
| Vertices | 120 |
| Vertex figure | Blend of pentagonal cuploid and pentagrammic cuploid, edge length 1 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Hypervolume | Undefined |
| Related polytopes | |
| Army | Sosbid |
| Regiment | Tesapdid |
| Conjugate | Tetrasnub antipodic disdecachoron |
| Convex core | Decachoron |
| Topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | A4+×2, order 120 |
| Convex | No |
| Nature | Tame |
The tetrasnub antipodic disdecachoron, or tesapdid, is a nonconvex uniform polychoron that consists of 10 icosahedra, 10 great icosahedra, 40+120 octahedra, and 60+120+120 tetrahedra. 1 icosahedron, 1 great icosahedron, 8 octahedra, and 10 tetrahedra join at each vertex.
This polychoron has ionic decachoric symmetry, with the icosahedra and great icosahedra acting as snub tetrahedra and retrosnub tetrahedra. With all of its cells geometrically regular, it can be considered a semiregular polychoron.
It was discovered on October 17, 2021, and is currently the latest uniform polychoron to be discovered.
- Bowers, Jonathan. "Category 20: Miscellaneous" (#2189).