Order-7 triangular tiling

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Order-7 triangular tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymHetrat
Coxeter diagramo7o3x ()
Schläfli symbol{3,7}
Elements
Faces14N Triangles
Edges21N
Vertices6N
Vertex figureHeptagon, edge length 1
Holes6N Heptagons
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHetrat
RegimentHetrat
DualHeptagonal tiling
φ 2 Order-7/2 heptagonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[7,3]
ConvexYes

The order-7 triangular tiling or hetrat is a regular tiling of the hyperbolic plane. 7 triangles join at each vertex.

It is the first regular tiling of triangles to be hyperbolic, rather than spherical or Euclidean.

Related polytopes[edit | edit source]

This tiling shares its edges with the great heptagonal tiling.

External links[edit | edit source]