Petrial order-∞ apeirogonal tiling

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Petrial order-∞ apeirogonal tiling
Rank3
Dimension2
TypeRegular
SpaceHyperbolic
Notation
Schläfli symbol{∞,∞}π
Elements
Faces2N  zigzags
EdgesNM 
Vertices2N 
Vertex figureApeirogon, edge length 2
Petrie polygons2N  apeirogons
Related polytopes
Petrie dualOrder-∞ apeirogonal tiling
Abstract & topological properties
Schläfli type{∞,∞}
OrientableYes
Properties
Symmetry[∞,∞]
ConvexNo

The Petrial order-∞ apeirogonal tiling is a paracompact regular skew tiling of the hyperbolic plane. Infinitely many zigzags join at each vertex. It has the same abstract structure as its Petrial the order-∞ apeirogonal tiling.