Petrial blended hexagonal tiling

Petrial blended hexagonal tiling
Rank	3
Dimension	3
Type	Regular
Notation
Schläfli symbol	$\{6,3\}^{\pi }\#\{\}$
Elements
Faces	$N$ zigzags
Edges	$N\times 3M$
Vertices	$N\times 2M$
Vertex figure	Triangle
Petrie polygons	Skew hexagon
Related polytopes
Petrie dual	Blended hexagonal tiling
Abstract & topological properties
Flag count	$N\times 12M$
Schläfli type	{∞,3}
Orientable	Yes
Genus	∞
Properties
Flag orbits	1
Convex	No

The Petrial blended hexagonal tiling is a regular skew polyhedron in 3D Euclidean space. It can be obtained by taking the Petrial of the blended hexagonal tiling or as the blend of the Petrial hexagonal tiling and the digon. It is abstractly equivalent to the Petrial hexagonal tiling and the Petrial hexagonal tiling can be considered a special case of the Petrial blended hexagonal tiling with skew distance 0.

Vertex coordinates

The vertex coordinates of the Petrial blended hexagonal tiling are the same as those of the blended hexagonal tiling.