## Exploring Fractals on the MacintoshThis is an examination of fractals in a way that intends to be accessible to Macintosh users. It enables users to explore the Mandelbrot set, design their own fractal creations and learn about 100 different fractal types as they relate to the scientific field of chaos. It also teaches programmers the intricacies of programming fractal algorithms on the Macintosh and how to incorporate special fractal capabilities in their own applications. Included are fully working versions of the fractal applications FractaSketch and MandelMovie. |

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Interesting book on Fractals.

### Contents

Basics of Fractals | 19 |

Creating Classical Fractals on the Macintosh | 27 |

Calculating Fractal Dimensions | 75 |

Copyright | |

8 other sections not shown

### Common terms and phrases

active set window aggregate algorithm angle backflags basic calculated dimension called Cantor set chaos Chapter choose color complex compression construction copy corresponding create cube cycle default define dialog disk Dragon curve drawlevel equation example explore false false false fractal dimension fractal geometry fractal patterns fractal structure FractaSketch frames grid Henon map infinity Initial values integer invflags iteration bands iteration function Julia set Koch curve Koch snowflake length levels of magnification line segments linear fractals Logistic map look Macintosh Mandelbrot set MandelMovie mathematics MAXITERS Menger sponge movie Newton's method nonlinear fractals numpt objects orbit palette parameters path Peano curve pendulum perimeter phase space pixel plane plot random regions relalst replaced rotation scale screen depth Script seed self-similar sequence shapes Sierpinski triangle similar Software spectrum square Step template transformation tree true true true Zoom