Cantor and Fatou dusts; self-squared dragons

  • Benoit B. Mandelbrot


Chapter foreword (2003). This chapter reproduces Chapter 19 of M 1982F, with a few additions clearly marked as such: Plate C5 of M 1982F (identical to its jacket) and a paragraph and a few illustrations from M 1985g that fit here better than they would elsewhere in this book.


Fractal Geometry Fractal Curve Peano Curve Rational Boundary Point Fractal Dimension Increase 
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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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