Infinite-order hexagonal tiling

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{{{Ui6_2-name}}}
[[image:{{{Ui6_2-image}}}|280px|Infinite-order hexagonal tiling]]
Poincaré disk model of the hyperbolic plane
Type Hyperbolic regular tiling
Vertex figure {{{Ui6_2-vfig}}}
Schläfli symbol {{{Ui6_2-schl}}}
Wythoff symbol {{{Ui6_2-Wythoff}}}
Coxeter diagram {{{Ui6_2-CD}}}
Symmetry group {{{Ui6_2-group}}}
Dual [[{{{Ui6_2-dual}}}]]
Properties Vertex-transitive, edge-transitive, face-transitive {{{Ui6_2-special}}}

In 2-dimensional hyperbolic geometry, the infinite-order hexagonal tiling is a regular tiling. It has Schläfli symbol of {6,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.

Symmetry

There is a half symmetry form, CDel node 1.pngCDel split1-66.pngCDel branch.pngCDel labelinfin.png, seen with alternating colors:

200px

Related polyhedra and tiling

This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (6n).

See also

References

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External links