Great rhombated cubic honeycomb alterprism
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| Great rhombated cubic honeycomb alterprism | |
|---|---|
| Rank | 5 |
| Type | Scaliform |
| Space | Euclidean |
| Notation | |
| Coxeter diagram | xo4xx3xx4ox&#x |
| Elements | |
| Tera | 2 great rhombated cubic honeycombs truncated octahedron atop great rhombicuboctahedron square cupofastegiums |
| Cells | great rhombicuboctahedra truncated octahedra cubes hexagonal prisms square cupolas tetrahedra triangular prisms |
| Faces | triangles squares of 2 orbits hexagons octagons |
| Edges | 4 orbits |
| Vertices | 1 orbit |
| Vertex figure | Irregular square scalene |
| Measures (edge length 1) | |
| Height | |
| Related polytopes | |
| Army | * |
| Regiment | * |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Convex | Yes |
| Nature | Tame |
The great rhombated cubic honeycomb alterprism is a scaliform slab honeycomb of 4D Euclidean space. It consists of 2 great rhombated cubic honeycombs connected by truncated octahedron atop great rhombicuboctahedron segmentochora and square cupofastegiums. Each vertex joins 1 great rhombated cubic honeycomb, 3 truncated octahedron atop great rhombicuboctahedron segmentochora, and 2 square cupofastegiums.