
Titan I by Ross Hilbert on Flickr.
A Mobius Pattern IFS fractal formed from a set of Mobius transformations viewed in the context of a 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.
Created using the Fractal Science Kit fractal generator. See www.fractalsciencekit.com/ for details.
The method used to produce the Mobius Pattern is based on information in the book “Indra’s Pearls  The Vision of Felix Klein” by David Mumford, Caroline Series, and David Wright. For additional details, see David Wright’s “Indra’s Pearls” site (klein.math.okstate.edu/IndrasPearls/).
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