Snub trioctagonal tiling

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Snub trioctagonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymSnatoct
Coxeter diagrams8s3s ()
Elements
Faces8N+24N triangles, 3N octagons
Edges12N+24N+24N
Vertices24N
Vertex figureFloret pentagon, edge lengths 1, 1, 1, 1, 2+2
Measures (edge length 1)
Circumradius≈ 2.02276 i
Related polytopes
ArmySnatoct
RegimentSnatoct
Dual8-3 floret pentagonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[8,3]+
ConvexYes

The snub trioctagonal tiling' or snatoct, also called the snub octagonal tiling, is a uniform tiling of the hyperbolic plane. 4 triangles and 1 octagon join at each vertex. It can be formed by alternation of the great rhombitrioctagonal tiling, followed by adjustment of edge lengths to be all equal.

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