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A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured."

Basic Description of Fractals

  • General description
    • history, self-similarity, iterating

Further Information

  • History
    • Mandelbrot 1975
  • Self-similarity
  • Iterating
    • complex, z = z^2 + c\,
      • to zero = black
      • infinity - color, how fast is what color
  • Fractal dimension

  • Examples
    • Cantor sets, Sierpinski triangle and carpet, Menger sponge, dragon curve, space-filling curve, Koch curve, Lyapunov fractal, and Kleinian groups.
  • Nature

Links to Other Information


Links to Other Information

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