Grand rhombic dishexadecachoron
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| Grand rhombic dishexadecachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gardoh |
| Elements | |
| Cells | 16 cubohemioctahedra, 16 truncated octahedra |
| Faces | 96 squares, 32+64 hexagons |
| Edges | 288 |
| Vertices | 96 |
| Vertex figure | Crossed butterfly wedge, dege lengths Template:Ardic (4) and √3 (6) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Cho–6–toe: 120° |
| cho–4–toe: 90° | |
| Toe–6–toe: 60° | |
| Related polytopes | |
| Army | Rico |
| Regiment | Rico |
| Conjugate | None |
| Convex core | Hexadecachoron |
| Abstract properties | |
| Euler characteristic | –32 |
| Topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | B4, order 384 |
| Convex | No |
| Nature | Tame |
The grand rhombic dishexadecachoron, or gardoh, is a nonconvex uniform polychoron that consists of 16 cubohemioctahedra and 16 truncated octahedra. Two cubohemioctahedra and four truncated octahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified icositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#149).