Snub triapeirogonal tiling

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Snub triapeirogonal tiling
Snub triapeirogonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration∞
Schläfli symbol sr{∞,3} or
Wythoff symbol | ∞ 3 2
Coxeter diagram CDel node h.pngCDel infin.pngCDel node h.pngCDel 3.pngCDel node h.png or CDel node h.pngCDel split1-i3.pngCDel nodes hh.png
Symmetry group [∞,3]+, (∞32)
Dual Order-3-infinite floret pentagonal tiling
Properties Vertex-transitive Chiral

In geometry, the snub triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of sr{∞,3}.


Drawn in chiral pairs, with edges missing between black triangles:

H2 snub 23ia.pngH2 snub 23ib.png

The dual tiling:

Order-3-infinite floret pentagonal tiling.png

Related polyhedra and tiling[edit]

This hyperbolic tiling is topologically related as a part of sequence of uniform snub polyhedra with vertex configurations (, and [n,3] Coxeter group symmetry.

See also[edit]


External links[edit]