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Structured Chaos: Using Mata and Stata to Draw Fractals

Seth Lirette ()
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Seth Lirette: University of Mississippi Medical Center, Center of Biostatistics and Bioinformatics

2013 Stata Conference from Stata Users Group

Abstract: Fractals are some of the most beloved and recognizable mathematical objects studied. They have been traced as far back as Leibniz, but failed to receive rigorous examination until the mid-twentieth century with the many publications of Benoit Mandelbrot and the advent of the modern computer. The powerful programming environment of Mata, in tandem with Stata’s excellent graphics capabilities, provides a very well-suited setting for generating fractals. My talk will focus on using Mata, combined with Stata, to generate some visually recognizable fractals possibly including, but not limited to: iterated function systems (Barnsley Fern, Koch Snowflake, Gosper Island), escape-time fractals (Mandelbrot Set, Julia Sets, Burning Ship), finite subdivisions (Cantor Set, Sierpinski Triangle), Lindenmayer systems (Dragon Curve, Levy Curve), and strange attractors (Double-scroll, Rossler, Lorenz).

Date: 2013-08-01
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