Grand quasirhombic disicositetrachoron
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| Grand quasirhombic disicositetrachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gaquerdy |
| Elements | |
| Cells | 24 great rhombihexahedra, 24 quasitruncated cuboctahedra |
| Faces | 288 squares, 96 hexagons, 144 octagrams |
| Edges | 288+576 |
| Vertices | 288 |
| Vertex figure | Crossed butterfly wedge, edge lengths √2 (4), √3 (2), and √2–√2 (4) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Groh–4–quitco: 90° |
| Quitco–6–quitco: 60° | |
| Groh–8/3–quitco: 45° | |
| Related polytopes | |
| Army | Srico |
| Regiment | Wavaty |
| Conjugate | Grand rhombic disicositetrachoron |
| Convex core | Icositetrachoron |
| Abstract & topological properties | |
| Euler characteristic | –96 |
| Orientable | No |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | No |
| Nature | Tame |
The grand quasirhombic disicositetrachoron, or gaquerdy, is a nonconvex uniform polychoron that consists of 24 great rhombihexahedra and 24 quasitruncated cuboctahedra. Two great rhombihexahedra and four quasitruncated cuboctahedra join at each vertex.
It can be constructed as the blend of 3 great rhombiprismic tesseractihexadecachora. In the process the cubohemioctahedron cells blend out and the octagrammic prisms blending into great rhombihexahedra.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the sphenoverted trisicositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#232).