Self-Similarity

Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Evan Maletsky, Terry Perciante and Lee Yunker
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Heinz-Otto Peitgen: Universität Bremen, Institut für Dynamische Systeme
Hartmut Jürgens: Universität Bremen, Institut für Dynamische Systeme
Dietmar Saupe: Universität Bremen, Institut für Dynamische Systeme
Evan Maletsky: Montclair State College, Department of Mathematics and Computer Science
Terry Perciante: Wheaton College, Department of Mathematics
Lee Yunker: West Chicago Community High School, Department of Mathematics

Chapter Unit 1 in Fractals for the Classroom: Strategic Activities Volume One, 1991, pp 1-36 from Springer

Abstract: Abstract The activities in this unit show a dynamic interplay between numerical patterns and geometric patterns. The specific details introduced in this chapter develop the notion of self-similarity, a feature that is characteristic of many fractals. Some of the outcomes appear to be generated from completely random procedures. Yet, these random processes can produce surprising results in the form of highly structured patterns exhibiting the beautiful aspects of self-similarity.

Keywords: Cellular Automaton; Strategic Activity; Triangular Array; Number Pattern; Binary Expansion (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4613-9047-3_1

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