Apeir octagonal-octagrammic coil

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Apeir octagonal-octagrammic coil
Rank3
Dimension4
TypeRegular
Elements
Faceszigzags
Edges
Vertices
Vertex figureOctagonal-octagrammic coil
Petrie polygonsoctagonal-octagrammic coils
Related polytopes
Petrie dualPetrial apeir octagonal-octagrammic coil
Abstract & topological properties
Schläfli type{∞,8}
Properties
ConvexNo
Dimension vector(0,2,2)

The apeir octagonal-octagrammic coil is a regular skew apeirohedron in 4-dimensional Euclidean space. It can be constructed as the apeir of the octagonal-octagrammic coil or as the blend of the apeir octagon with its conjugate the apeir octagram. It is notable in that it is the blend of two dense polytopes but it is not itself dense.

Vertex coordinates[edit | edit source]

The vertex coordinates of the apeir octagonal-octagrammic coil are the same as those of its Petrial.

Related polytopes[edit | edit source]

8 apeir octagonal-octagrammic coils can be arranged in 4-dimensional space to form the Petrial apeir square duocomb.