Great retroinverted prismatotetracontoctachoron
Jump to navigation
Jump to search
| Great retroinverted prismatotetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gripic |
| Elements | |
| Cells | 48 quith, 192 trip |
| Faces | 384 triangles, 288 squares, 144 octagrams |
| Edges | 576 |
| Vertices | 144 |
| Vertex figure | Inverted square antiprism, edge lengths 1 (base) and √2–√2 (sides) |
| Edge figure | trip 4 trip 4 trip 3 quith 8/3 quith 8/3 quith 3 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1584 |
| Level of complexity | 35 |
| Related polytopes | |
| Army | Spic |
| Regiment | Giddic |
| Conjugate | Sripic |
| Abstract & topological properties | |
| Euler characteristic | 144 |
| Orientable | No |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Feral |
The great retroinverted prismatotetracontoctachoron, or gripic, is a nonconvex uniform polychoron that consists of 48 quasitruncated hexahedra and 192 triangular prisms. Eight quasitruncated hexahedra and eight triangular prisms join at each vertex.
It also has octahedra as pseudofacets.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#534).
 | This article is a stub. You can help Polytope Wiki by expanding it. |