In geometry, the quarter order-6 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of q{ 4,6}. It is constructed from *3232 orbifold notation, and can be seen as a half symmetry of *443 and *662, and quarter symmetry of *642.

Images

Projections centered on a vertex, triangle and hexagon:

Quarter order-6 square tiling

Related polyhedra and tiling

See also

Square tiling

Tilings of regular polygons

List of uniform planar tilings

List of regular polytopes

References

John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)

Quarter order-6 square tiling

External links

Hyperbolic and Spherical Tiling Gallery

KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings Hyperbolic Planar Tessellations, Don Hatch

Quarter order-6 square tiling

Hyperbolic tilings

Isogonal tilings

Order-6 tilings

Square tilings

Uniform tilings