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The Chaos Game

In: Fractals for the Classroom: Strategic Activities Volume One

Author

Listed:
  • Heinz-Otto Peitgen

    (Universität Bremen, Institut für Dynamische Systeme
    University of California, Department of Mathematics)

  • 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)

Abstract

The activities in this unit connect the chaos game to the Sierpinski triangle. Trees are used to tie addresses for finite sequences of plays in the chaos game to addresses for locations of subtriangles in related stages of the Sierpinski triangle. Infinite strings are eventually considered, and the Cantor set is related to fully grown trees.

Suggested Citation

  • Heinz-Otto Peitgen & Hartmut Jürgens & Dietmar Saupe & Evan Maletsky & Terry Perciante & Lee Yunker, 1991. "The Chaos Game," Springer Books, in: Fractals for the Classroom: Strategic Activities Volume One, chapter 0, pages 37-68, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-9047-3_2
    DOI: 10.1007/978-1-4613-9047-3_2
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