Gyrated cuboctahedral-hemitriangular honeycomb
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Gyrated cuboctahedral-hemitriangular honeycomb | |
---|---|
Rank | 4 |
Type | Scaliform |
Space | Euclidean |
Elements | |
Cells | triangular orthobicupolae, apeirogonal antiprisms |
Faces | triangles, squares, apeirogons |
Edges | 3 orbits |
Vertices | 1 orbit |
Vertex figure | Triangular orthobicupola faceting |
Related polytopes | |
Army | Gytoh |
Regiment | Gytoh |
Conjugate | None |
Abstract & topological properties | |
Orientable | No |
Properties | |
Symmetry | V3❘W2 |
Convex | No |
Nature | Feral |
The gyrated cuboctahedral-hemitriangular honeycomb is a nonconvex fissary scaliform honeycomb. 12 triangular orthobicupolae and 6 apeirogonal antiprisms join at each vertex of this honeycomb.
This honeycomb can be formed from the cuboctahedral-hemitriangular honeycomb by gyrating alternate layers of cells along triangular tilings, so that the cuboctahedra become triangular orthobicupolae, some triangular tilings split into apeirogonal antiprisms, and some are removed entirely.