Truncated octagonal tiling

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Truncated octagonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymTocat
Coxeter diagramx8x3o ()
Elements
Faces8N triangles, 3N hexadecagons
Edges12N+24N
Vertices24N
Vertex figureIsosceles triangle, edge legnths 1, 2+2+2, 2+2+2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyTocat
RegimentTocat
DualTriakis order-8 triangular tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[8,3]
ConvexYes

The truncated octagonal tiling or tocat is a uniform tiling of the hyperbolic plane. 2 hexadecagons and 1 triangle join at each vertex. It can be formed from the truncation of the octagonal tiling.

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