Petrial blended triangular tiling

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Petrial blended triangular tiling
Rank3
TypeRegular
Notation
Schläfli symbol

Elements
FacesN  zigzags
EdgesN×3M 
VerticesN×M 
Vertex figureHexagon
Petrie polygonsSkew triangles
Related polytopes
ArmyHexagonal tiling prism
RegimentBlended triangular tiling
Petrie dualBlended triangular tiling
Abstract & topological properties
Schläfli type{∞,6}
Properties
SymmetryV3×A1
Flag orbits1
ConvexNo

The Petrial blended triangular tiling is a regular skew apeirohedron. It can be constructed as the blend of the Petrial triangular tiling with a digon or as the Petrial of the blended triangular tiling.

Vertex coordinates[edit | edit source]

The vertex coordinates of a {etrial blended triangular tiling are the same as those of the blended triangular tiling. With edge length 1 and height h , the vertex coordinates are given by

where i  and j  range over the integers, and H is (Note that must always be true for H  to be a real number and for the blend to be non-degenerate).

References[edit | edit source]