Gyrated rectified cubic honeycomb

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Gyrated rectified cubic honeycomb
Rank4
TypeScaliform
SpaceEuclidean
Notation
Bowers style acronymGyrich
Elements
CellsN octahedra, N triangular orthobicupolas
FacesN+N+6N triangles, 3N squares
Edges3N+3N+6N
Vertices3N
Vertex figureKite prism, edge lengths 1 and 2
Related polytopes
ArmyGyrich
RegimentGyrich
DualIsosceles trapezoidal tegmatic honeycomb
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryV3❘W2
ConvexYes
NatureTame

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.

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