Title: Beltrami Snowflake III Post by: Ross Hilbert on September 09, 2013, 02:46:05 PM Beltrami Snowflake III
(http://nocache-nocookies.digitalgott.com/gallery/14/385_09_09_13_2_46_02.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=14820 A [6,4] Hyperbolic Tiling created with the Fractal Science Kit fractal generator. See http://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. Title: Re: Beltrami Snowflake III Post by: Nahee_Enterprises on September 10, 2013, 05:59:27 AM Beltrami Snowflake III A [6,4] Hyperbolic Tiling created with the Fractal Science Kit fractal generator. See http://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. Definitely has that "snowflake" appearance. Would make a good image for the end of the year holidays (which will be here soon enough). :D Title: Re: Beltrami Snowflake III Post by: Ross Hilbert on September 10, 2013, 02:18:17 PM Thanks Paul! Yeah, looks like I've found this year's Christmas card :-) |