Small rhombitriheptagonal tiling

From Polytope Wiki
Jump to navigation Jump to search
Small rhombitriheptagonal tiling
Rank3
TypeUniform
SpaceHyperbolic
Notation
Bowers style acronymSrothet
Coxeter diagramx7o3x ()
Elements
Faces14N triangles, 21N squares, 6N heptagons
Edges42N+42N
Vertices42N
Vertex figureIsosceles trapezoid, edge lengths 1, 2, 2cos(π/7), 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmySrothet
RegimentSrothet
DualDeltoidal triheptagonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[7,3]
ConvexYes

The small rhombitriheptagonal tiling or srothet, or simply rhombitriheptagonal tiling, is a uniform tiling of the hyperbolic plane. 1 heptagon, 1 triangle and 2 squares join at each vertex. It can be formed by cantellation of either the heptagonal tiling or its dual order-7 triangular tiling, or equivalently by rectification of the triheptagonal tiling.

External links[edit | edit source]