The Gardens of Atlantis by RossHilbert
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Description
Created using the Fractal Science Kit fractal generator. See http://www.fractalsciencekit.com/ for details.
Comments (6)
peedy
Beautiful! Would love that on my wall. Corrie
farmerC
Shining work and colors.
Glendaw
Wow what a gorgeous image and beautiful design. Awesome colors, lighting and details.
XenoDreamSoftware
Another beauty! I'd be interested to see a few words about the type of formulas and coloring in your posts.
RossHilbert
Thanks! Many of my works are Mandelbrot or Julia based fractals, but I also generate some IFS/Attractor based images, Kleinian Group fractals, or as in this case, the image is based on a [6,4] Hyperbolic Tiling. 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. For example, a [4,5] regular tiling maps 4 sided polygons onto the hyperbolic plane such that 5 polygons meet at each polygon vertex. A regular tiling of the hyperbolic plane exists if and only if (p-2)*(q-2) > 4. So, for example, a [4,5] tiling is possible but a [4,4] tiling is not. I'll try to remember to give a little info about the image in the future, but if I forget, just pose a question and I'll reply when I can. Thanks again!
Hubert
Very beautiful and intricate "bathroom tiles"! ;)
ia-du-lin
very nice design, like the blue color tones