Fractals & Chaos

Contents

Note:  If you have a fast machine (233 MHz Pentium II or faster), 
you'll likely need a patch to run TP 7 programs on this page.
See this fix for "Runtime Error 200."

Fractals

Program	Description	Files	Keywords
Evolution of the MandelbrotSet			Mandelbrot Set
	Fractal Discovery Lab: Art Gallery, Microscope, Movies, Tools, Library
	Fractals Show 2		Fractals, Chaos, Mandelbrot Set, Julia Set, Biomorph, Rainbow, WavelengthToRGB, pf32bit, Delphi
	Sierpinski Triangle Gasket		Sierpinski triangle, Sierpinski gasket, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion
	von Koch Snowflake		von Koch curve, von Koch snowflake, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion

Chaos

Program	Description	Files	Keywords
	Iterated Function System to create four ferns (Also see, Mathematical Recreations, Scientific American, "How to transform flights of fancy into fractal flora or fauna," May 1990)	Fern.ZIP (TP 7 Source and EXE)	IFS
	Lyapunov Exponents:  how to compute and display the Lyapunov exponents of the logistic map with periodic forcing (and to compute and display some very interesting graphics images).		Lyapunov Exponent, Logistic Map, Logistic Equation, Chaos, Fractals. Rainbow, WavelengthToRGB, pf32bit, IEEE single
	Strange Attractors: Mathematical Curiosities Originally developed for the Maryland Science Center.	Strange.ZIP TP 7 Source: TP7Strng.ZIP	Lorenz, Rössler, Hénon, Ikeda, Strange Attractors

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