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Fractal Outline
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Fractals are a very unique branch of math mathematics primarily because each fractal has individual properties that make it unique.
• What is a Fractal? o Fractals have self-similarity. o Most fractals have a definite area but not a definite perimeter. o Most fractals involve complex math. o Fractional Demintional • History of Fractals o Mandelbrot • Mandelbrot was born in Poland on November 20, 1924. • He moved to France in 1936. • He is considered a pioneer in mathematics and fractals. • Mandelbrot Set o Discovery • Exploration of fractals expanded once computers were invented. • Mandelbrot, Koch, Serpinski, Julia • Mandelbrot Set o Benoit Mandelbrot o One of the more famous fractals o Unique properties • Extremely Complicated • Z=Z^2+C • Iterated • Uses the Complex number i. • Koch Snowflake o Swedish mathematician Niels Fabian Helge von Koch. • Discovered In 1904 o Based off the development of the Koch Curve • Essentially one side of the triangle o Perimeter=3*(4/3)^n • Infinite perimeter o Definite area • Applications o Computer Graphics • Compressing video images o Movie Animations ...
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