The inexhaustible function z squared plus c

  • Benoit B. Mandelbrot


Allow the very elementary transformation, from z to z2 + c to be repeated indefinitely. The process reveals geometric shapes—fractal attractors, fractal repellers and other fractal sets—that astonish by their number, their variety, and their beauty.


Complex Number Elementary Operation Elementary Transformation Fractal Curve Koch Curve 
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Copyright information

© Benoit B. Mandelbrot 2004

Authors and Affiliations

  • Benoit B. Mandelbrot
    • 1
    • 2
  1. 1.Mathematics DepartmentYale UniversityNew HavenUSA
  2. 2.IBM T.J. Watson Research CenterYorktown HeightsUSA

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