Snub apeiroapeirogonal tiling

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Snub apeiroapeirogonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymSazazat
Coxeter diagrams∞s4o ()
Schläfli symbol
Elements
Faces2NM triangles, 4N apeirogons
EdgesNM+4NM
Vertices2NM
Vertex figureFloret pentagon, edge lengths 1, 1, 2, 1, 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmySazazat
RegimentSazazat
DualOrder ∞-∞ floret pentagonal tiling
Abstract & topological properties
SurfaceHyperbolic plane
OrientableYes
Genus0
Properties
Symmetry[∞,∞]+
ChiralYes
ConvexYes

The snub apeiroapeirogonal tiling is a uniform tiling of the hyperbolic plane. 3 triangles and 2 apeirogon join at each vertex. It can be formed by alternation of the great rhombiapeiroapeirogonal tiling, followed by adjustment of edge lengths to be all equal.

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