Small rhombitrioctagonal tiling

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Small rhombitrioctagonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymSrotoct
Coxeter diagramx8o3x ()
Elements
Faces8N triangles, 12N squares, 3N octagons
Edges24N+24N
Vertices24N
Vertex figureIsosceles trapezoid, edge legnths 1, 2, 2+2, 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmySrotoct
RegimentSrotoct
DualDeltoidal trioctagonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[8,3]
ConvexYes

The small rhombitrioctagonal tiling, or simply rhombitrioctagonal tiling, is a uniform tiling of the hyperbolic plane. 1 octagon, 1 triangle, and 2 squares join at each vertex. It can be formed by cantellation of either the octagonal tiling or its dual order-8 triangular tiling, or equivalently by rectification of the trioctagonal tiling.

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