Order-6 apeirogonal tiling

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Order-6 apeirogonal tiling
Rank3
TypeRegular, paracompact
SpaceHyperbolichttps://polytope.miraheze.org/w/index.php?title=Order-6_apeirogonal_tiling&action=edit
Notation
Bowers style acronymHazat
Coxeter diagramx∞o6o ()
Schläfli symbol{∞,6}
Elements
Faces6N apeirogons
Edges3NM
VerticesNM
Vertex figureHexagon, edge length 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHazat
RegimentHazat
DualOrder-∞ hexagonal tiling
φ 2 Order-3 apeirogonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[∞,6]
ConvexYes


The order-6 apeirogonal tiling is a paracompact regular tiling of the hyperbolic plane. 6 apeirogons join at each vertex.

Representations[edit | edit source]

The order-6 apeirogonal tiling has the following Coxeter diagrams:

  • x∞o6o () (full symmetry)
  • o3o∞x∞*a () (apeirogons of two types)

External links[edit | edit source]