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Author Topic: The Gardens of Atlantis  (Read 520 times)
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Ross Hilbert
Fractal Phenom
Posts: 469

« on: February 26, 2015, 09:14:38 PM »

The Gardens of Atlantis


Created with the Fractal Science Kit fractal generator. See http://www.fractalsciencekit.com/ for details.
Kalles Fraktaler
Fractal Senior
Posts: 1458

« Reply #1 on: February 27, 2015, 07:34:35 AM »

All your images are fantastic and beautiful.
You have created a really impressive gallery.
It would be nice to get some insight in what these images are made of, is it Mandelbrot or not, etc.
Anyway, thanks a lot for all the images

Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
Ross Hilbert
Fractal Phenom
Posts: 469

« Reply #2 on: February 27, 2015, 09:32:34 PM »

Thanks Kalles Fraktaler!

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!
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