Order-6 pentagonal tiling


In geometry, the order-6 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of.

Uniform coloring

This regular tiling can also be constructed from symmetry alternating two colors of pentagons, represented by t1.

Symmetry

This tiling represents a hyperbolic kaleidoscope of 6 mirrors defining a regular hexagon fundamental domain, and 5 mirrors meeting at a point. This symmetry by orbifold notation is called *33333 with 5 order-3 mirror intersections.

Related polyhedra and tiling

This tiling is topologically related as a part of sequence of regular tilings with order-6 vertices with Schläfli symbol, and Coxeter diagram, progressing to infinity.
reflective symmetry uniform tilings------