Self-Similar Fractal Sets: Theory and Procedure

Authors:
Stephen D. Casey;Nicholas F. Reingold
Affiliations:
-;-
Venue:
IEEE Computer Graphics and Applications
Year:
1994

Citing 3
Cited 4

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Abstract

The presented algorithm generates approximations of self-similar fractal sets. The algorithm is based on a pattern rewriting system that draws a geometric pattern repeatedly after suitable mappings. A program developed from the algorithm reproduces Mandelbrot's self-similar fractals. We begin by discussing fractals and dimension theory, then present the algorithm, and conclude by using fractal set theory to calculate the dimensions of self-similar sets from their generators.