The Fractal Geometry of Nature

Book by Benoît Mandelbrot
0-7167-1186-9

The Fractal Geometry of Nature is a 1982 book by the Franco-American mathematician Benoît Mandelbrot.[1][2]

Overview

The Fractal Geometry of Nature is a revised and enlarged version of his 1977 book entitled Fractals: Form, Chance and Dimension, which in turn was a revised, enlarged, and translated version of his 1975 French book, Les Objets Fractals: Forme, Hasard et Dimension. American Scientist put the book in its one hundred books of 20th century science.[3]

As technology has improved, mathematically accurate, computer-drawn fractals have become more detailed. Early drawings were low-resolution black and white; later drawings were higher resolution and in color. Many examples were created by programmers working with Mandelbrot, primarily at IBM Research. These visualizations have added to persuasiveness of the books and their impact on the scientific community.[citation needed]

See also

  • Chaos theory

References

  1. ^ "THE FRACTAL GEOMETRY OF NATURE". us.macmillan.com. Archived from the original on 2018-10-13. Retrieved 12 October 2018.
  2. ^ "The Fractal Geometry of Nature by Benoît B. Mandelbrot". Goodreads. goodreads.com. Retrieved 25 October 2016.
  3. ^ "100 or so Books that shaped a Century of Science » American Scientist". American Scientist. Archived from the original on 28 December 2008.
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Fractals
Characteristics
  • Fractal dimensions
    • Assouad
    • Box-counting
      • Higuchi
    • Correlation
    • Hausdorff
    • Packing
    • Topological
  • Recursion
  • Self-similarity
Iterated function
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