Ross Hilbert
Beltrami Snowflake III
A [6,4] Hyperbolic Tiling created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com for details.
A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk. A [p,q] regular tiling of the hyperbolic plane maps a hyperbolic polygon with p sides over the hyperbolic plane such that q polygons meet at each polygon vertex.
Beltrami Snowflake III
A [6,4] Hyperbolic Tiling created with the Fractal Science Kit fractal generator. See www.fractalsciencekit.com for details.
A Hyperbolic Tiling replicates a polygon over the hyperbolic plane represented by the Poincare disk in such a way as to form a hyperbolic tiling pattern. The Poincare disk is a model for hyperbolic geometry that maps the hyperbolic plane onto the unit disk. A [p,q] regular tiling of the hyperbolic plane maps a hyperbolic polygon with p sides over the hyperbolic plane such that q polygons meet at each polygon vertex.