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Author Topic: Beltrami Snowflake III  (Read 452 times)
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Ross Hilbert
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« on: September 09, 2013, 02:46:05 PM »

Beltrami Snowflake III



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.
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Nahee_Enterprises
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« Reply #1 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).     cheesy
 
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Ross Hilbert
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« Reply #2 on: September 10, 2013, 02:18:17 PM »

Thanks Paul! Yeah, looks like I've found this year's Christmas card :-)
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