Order-5 square tiling

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Order-5 square tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymPesquat
Coxeter diagramo5o4x ()
Schläfli symbol{4,5}
Elements
Faces5N Squares
Edges10N
Vertices4N
Vertex figurePentagon, edge length 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyPesquat
RegimentPesquat
DualPentagonal tiling
HalvingOrder-5 pentagonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[5,4]
ConvexYes

The order-5 square tiling or pesquat is a regular tiling of the hyperbolic plane. 5 squares join at each vertex.

This tiling can be alternated to produce the regular order-5 pentagonal tiling.

Related polytopes[edit | edit source]

It is isomorphic to the universal cover of the medial rhombic triacontahedron.

External links[edit | edit source]