The Mandelbrot Set: Ordering the Julia Sets

  • Heinz-Otto Peitgen
  • Hartmut Jürgens
  • Dietmar Saupe


The Mandelbrot set is certainly the most popular fractal, probably the most popular object of contemporary mathematics at all. Some people claim that it is not only the most beautiful but also the most complex object which has been seen, i.e., made visible. Since Mandelbrot made his extraordinary experiment in 1979, it has been duplicated by tens of thousands of amateur scientists around the world.2 They all like to delve into the unlimited variety of pictures which can develop on a computer screen. Sometimes many hours are required for their generation; but this is the price you have to pay for the adventure of finding something new and fantastic where nobody has looked before.
Figure 14.1

Benoit B. Mandelbrot


Field Line Logarithmic Spiral Structural Dichotomy Siegel Disk Small Copy 
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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Heinz-Otto Peitgen
    • 1
    • 2
  • Hartmut Jürgens
    • 3
  • Dietmar Saupe
    • 4
  1. 1.CeVis and MeVisUniversität BremenBremenGermany
  2. 2.Department of MathematicsFlorida Atlantic UniversityBoca RatonUSA
  3. 3.CeVis and MeVisUniversität BremenBremenGermany
  4. 4.Department of Computer ScienceUniversität FreiburgFreiburgGermany

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