Quarter order-6 square tilingPoincaré disk model of the hyperbolic planeTypeHyperbolic uniform tilingVertex figure3.4.6.6.4Schläfli symbolq{4,6}Coxeter diagram = = = or or or Dual ?PropertiesVertex-transitive 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:
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-Strauss, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)
External links
Hyperbolic and Spherical Tiling Gallery KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings Hyperbolic Planar Tessellations, Don Hatch