Grand quasirhombic prismatotesseract
Jump to navigation
Jump to search
| Grand quasirhombic prismatotesseract | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gaqript |
| Elements | |
| Cells | 24 octagrammic prisms, 8 great rhombihexahedra |
| Faces | 48+96 squares, 48 octagrams |
| Edges | 96+192 |
| Vertices | 96 |
| Vertex figure | Crossed butterfly wedge, edge lengths √2 (6) and √2–√2 (4) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Groh–4–stop: 90° |
| Stop–4–stop: 90° | |
| Groh–8/3–stop: 45° | |
| Related polytopes | |
| Army | Srit, edge length |
| Regiment | Wavitoth |
| Conjugate | Grand rhombic prismatotesseract |
| Convex core | Chamfered tesseract |
| Abstract & topological properties | |
| Flag count | 3840 |
| Euler characteristic | –32 |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Tame |
The grand quasirhombic prismatotesseract, or gaqript, is a nonconvex uniform polychoron that consists of 8 great rhombihexahedra and 24 octagrammic prisms. Two great rhombihexahedra and four octagrammic prisms join at each vertex.
It can be constructed as a blend of three octagrammic duoprisms. In the process half the octagrammic prisms blend into great rhombihexahedra.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the sphenoverted tesseractitesseractihexadecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#225).
- Klitzing, Richard. "gaqript".