Petrial apeir octahedron

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Petrial apeir octahedron
Rank4
Dimension3
TypeRegular
Elements
Cells4 Petrial helical triangular tilings
Faceszigzags
Edges
Vertices
Vertex figurePetrial octahedron
Related polytopes
ArmyChon
RegimentChon
Petrie dualApeir octahedron
Abstract & topological properties
Schläfli type{∞,6,4}
OrientableNo
Properties
ConvexNo
Dimension vector(0,1,2,2)

The Petrial apeir octahedron, or apeir Petrial octahedron, is a regular skew honeycomb. It can be constructed as the apeir of the Petrial octahedron or as the Petrial of the apeir octahedron.

Vertex coordinates[edit | edit source]

Vertex coodinates for the Petrial apeir octahedron are the same as those of the cubic honeycomb.