Great spinoprismatotesseractioctachoron
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| Great spinoprismatotesseractioctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gnipto |
| Elements | |
| Cells | 8+24 cubes, 8 great rhombihexahedra |
| Faces | 48+96 squares, 24 octagrams |
| Edges | 96+96 |
| Vertices | 64 |
| Vertex figure | Triangular podic crown, edge lengths √2 (top triangle and side edges of triangles) and √2–√2 (edges between butterflies) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Groh–8/3–groh: 90° |
| Groh–4–cube: 90° | |
| Cube–4–cube: 45° | |
| Number of external pieces | 5592 |
| Level of complexity | 559 |
| Related polytopes | |
| Army | Tat |
| Regiment | Gittith |
| Conjugate | Small spinoprismatotesseractioctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Wild |
The great spinoprismatotesseractioctachoron, or gnipto, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra and 32 cubes. Three great rhombihexahedra and four cubes join at each vertex.
It can be constructed as a blend of six square-octagrammic duoprisms. In the process some of the cubes blend out, while the octagrammic prisms blend into great rhombihexahedra.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great tesseractitesseractihexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 12: Podiumverts" (#490).