Apeir dodecagonal-dodecagrammic coil

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Apeir dodecagonal-dodecagrammic coil
Rank3
Dimension4
TypeRegular
Elements
Faceszigzags
Edges
Vertices
Vertex figureDodecagonal-dodecagrammic coil
Petrie polygonsDodecagonal-dodecagrammic coils
Related polytopes
Petrie dualPetrial apeir dodecagonal-dodecagrammic coil
ConjugateApeir dodecagonal-dodecagrammic coil
Abstract & topological properties
Flag count
Schläfli type{∞,12}
Properties
Flag orbits1
ConvexNo
Dimension vector(0,2,2)

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

It is its own κ 1 .

Vertex coordinates[edit | edit source]

Related polytopes[edit | edit source]

6 apeir dodecagonal-dodecagrammic coil can be made to tile 4-dimensional Euclidean space as the Petrial apeir hexagonal duocomb.