Publication Date


Document Type


First Advisor

Beachy, John A.

Degree Name

B.S. (Bachelor of Science)

Legacy Department

Department of Mathematical Sciences


The first section, entitled “Introduction and Applications,” is self-descriptive. The paper begins by introducing and defining the new terms “fractals” and “fractal geometry.” At the same time, Benoit B. Mandelbrot is accredited for having developed this new field. The introduction is followed by simple examples. This section is completed with a number of practical applications involving a variety of sciences. Section 2 consists of the background mathematics necessary to understand the Mandelbrot set and the computer program illustrating it. To fully understand the section, some prior knowledge of complex analysis is necessary. Sections 3 and 4 are the program description and documentation, respectively. These sections are included to give any reader with some computer programming experience a complete understanding of the program. The paper is completed with the output from the program. This consists of computer-generated pictures of the Mandelbrot set and portions of the Mandelbrot set.


Includes bibliographical references.


34 pages




Northern Illinois University

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