donderdag 27 september 2012

Fractal Kitties Illustrate the Endless Possibilities for Julia Sets

Fractal Kitties Illustrate the Endless Possibilities for Julia Sets:
An approximation of author Kathryn Lindsey's cat, Magellan, by the Julia set of a polynomial of degree 301
For decades, scientists have been trying to solve a tough question: if the Internet runs out of cat pictures, can we generate more using advanced mathematics?* A paper posted on the arxiv earlier this month by mathematicians Kathryn Lindsey and the late William Thurston calms fears about “peak cat.” In the paper, they describe a method of approximating the outline of a cat or other object using the Julia sets of polynomials.
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