Petrial triangular tiling
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|Petrial triangular tiling|
|Vertex figure||Hexagon, edge length 1|
|Petrie dual||Triangular tiling|
The petrial triangular tiling is one of three regular skew tilings of the Euclidean plane. Six zigzags meet at a vertex and it is the Petrie dual of the triangular tiling.
Vertex coordinates[edit | edit source]
The vertex coordinates of a petrial triangular tiling with edge length one are the same as the triangular tiling, being
where i and j range over the integers.
Related polyhedra[edit | edit source]
The rectification of the petrial triangular tiling is the hexagonal-hemiapeirogonal tiling, which is a uniform tiling.