Tetraapeirogonal tiling

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Tetraapeirogonal tiling
Rank3
TypeUniform, paracompact
SpaceHyperbolic
Notation
Bowers style acronymTezt
Coxeter diagramo∞x4o ()
Elements
FacesNM squares, 4N Apeirogons
Edges4NM
Vertices2NM
Vertex figureRectangle, edge lengths 2 and 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyTezt
RegimentTezt
Dual∞-4 rhombille tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[∞,4]
ConvexYes

The tetraapeirogonal tiling, or tezt, is a paracompact uniform tiling of the hyperbolic plane. 2 apeirogons and 2 squares join at each vertex. It can be formed from the rectification of either the order-4 apeirogonal tiling or its dual order-∞ square tiling.

Representations[edit | edit source]

The tetraapeirogonal tiling has the following Coxeter diagrams:

External links[edit | edit source]