Fractals & Chaos

Contents

Fractals
Chaos
Glynn Function Gallery

Also see the Fractals and Chaos Section
of the Math Reference Library

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.gif (2621 bytes) Sierpinski Triangle Gasket   Sierpinski triangle, Sierpinski gasket, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion
VonKochSnowflake.gif (1087 bytes) 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.gif (16030 bytes) 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

Glynn Function Study Center Gallery


Updated 14 Jun 2009
Since 1 Nov 1998