Order-5 hexagonal tiling

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Order-5 hexagonal tiling
Rank3
TypeRegular
SpaceHyperbolic
Notation
Bowers style acronymPhexat
Coxeter diagramx6o5o ()
Schläfli symbol{6,5}
Elements
Faces6N pentagons
Edges15N
Vertices5N
Vertex figurePentagon, edge length 3
Measures (edge length 1)
Circumradius
Related polytopes
ArmyPhexat
RegimentPhexat
DualOrder-6 pentagonal tiling
Abstract & topological properties
SurfaceSphere
OrientableYes
Genus0
Properties
Symmetry[6,5]
ConvexYes

The order-5 hexagonal tiling is a regular tiling of the hyperbolic plane. 5 hexagons join at each vertex.

Related polytopes[edit | edit source]

It is isomorphic to the universal cover of the medial triambic icosahedron.

External links[edit | edit source]