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Spherical Worlds

I first saw a description of spherical fractals in a blog by Samuel Monnier (algorithmic-worlds.net/blog/blog.php?Post=20120316). These Juliasets are constructed using Möbius-transforms. They fit naturally on a sphere. Here I've depicted them on a plane, together with their stereographic projection onto a Riemann sphere.

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Uploaded on March 20, 2012