Removing Tremas with a Rational Function

Year: 2013 Authors: Anne Burns

Core claim

For the family f(z)=z^2+c/z^2, changing the parameter c makes the Julia set become a carpet, a gasket, or other trema-like fractal structures.

Topics

Julia sets, trema removal, Sierpinski carpet, Sierpinski gasket

Domains

complex dynamics, rational maps, topology, fractal geometry, generative art, fractal visualization, color design, scientific imagery

Methods

backward iteration, orbit analysis, parameter variation, topological comparison

Media

complex-valued function, computer-generated images, colored fractal plots

Source status

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