DocumentCode
1064094
Title
Self-similar fractal sets: theory and procedure
Author
Casey, Stephen D. ; Reingold, Nicholas F.
Author_Institution
Dept. of Math. & Stat., American Univ., Washington, DC, USA
Volume
14
Issue
3
fYear
1994
fDate
5/1/1994 12:00:00 AM
Firstpage
73
Lastpage
82
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.<>
Keywords
computational geometry; computer graphics; fractals; Mandelbrot´s set; dimension theory; fractal set theory; generators; geometric pattern; mappings; pattern rewriting system; self-similar fractal sets; Bibliographies; Books; Calculus; Collaboration; Encoding; Fractals; Geometry; Mathematics; Set theory; Topology;
fLanguage
English
Journal_Title
Computer Graphics and Applications, IEEE
Publisher
ieee
ISSN
0272-1716
Type
jour
DOI
10.1109/38.279048
Filename
279048
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