Helical square tiling

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Helical square tiling
Rank3
Dimension3
TypeRegular
Notation
Schläfli symbol{4,4}#{∞}
Elements
FacesSquare helices
Vertex figureSkew square
Petrie polygonszigzags
Related polytopes
Petrie dualPetrial helical square tiling
Abstract & topological properties
Schläfli type{∞,4}
OrientableYes
Genus
Properties
ConvexNo

The helical square tiling is a regular skew apeirohedron in 3-dimensional Euclidean space. It can be made as the blend of the square tiling with an apeirogon.

External links[edit | edit source]

Bibliography[edit | edit source]

  • McMullen, Peter; Schulte, Egon (1997). "Regular Polytopes in Ordinary Space" (PDF). Discrete Computational Geometry (47): 449–478. doi:10.1007/PL00009304.