Gyrated rectified cubic honeycomb
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Gyrated rectified cubic honeycomb | |
---|---|
Rank | 4 |
Type | Scaliform |
Space | Euclidean |
Notation | |
Bowers style acronym | Gyrich |
Elements | |
Cells | N octahedra, N triangular orthobicupolas |
Faces | N+N+6N triangles, 3N squares |
Edges | 3N+3N+6N |
Vertices | 3N |
Vertex figure | Kite prism, edge lengths 1 and √2 |
Related polytopes | |
Army | Gyrich |
Regiment | Gyrich |
Dual | Isosceles trapezoidal tegmatic honeycomb |
Conjugate | None |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | V3❘W2 |
Convex | Yes |
Nature | Tame |
The gyrated rectified cubic honeycomb or gyrich is a convex scaliform honeycomb. 4 triangular orthobicupolas and 2 octahedra join at each vertex of this honeycomb.
This honeycomb can be formed from the rectified cubic honeycomb by gyrating the triangular cupolas contained within the cuboctahedra, so that all the cuboctahedra become triangular orthobicupolas.
External links[edit | edit source]
- Klitzing, Richard. "gyrich".