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  2. Plotting algorithms for the Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Plotting_algorithms_for...

    Once b is found, by the Koebe 1/4-theorem, we know that there is no point of the Mandelbrot set with distance from c smaller than b/4. The distance estimation can be used for drawing of the boundary of the Mandelbrot set, see the article Julia set. In this approach, pixels that are sufficiently close to M are drawn using a different color.

  3. Fractint - Wikipedia

    en.wikipedia.org/wiki/Fractint

    A Mandelbrot fractal with Fractint's colour palette editor (version 20.0 in DOSBOX 0.72) One portion of the Mandelbrot set at extreme magnification, showing how the set contains near copies of itself Fractint originally appeared in 1988 as FRACT386, a computer program for rendering fractals very quickly on the Intel 80386 processor using ...

  4. Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Mandelbrot_set

    Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The "style" of this recursive detail depends on the region of the set boundary being examined.

  5. Fractal-generating software - Wikipedia

    en.wikipedia.org/wiki/Fractal-generating_software

    The development of the first fractal generating software originated in Benoit Mandelbrot's pursuit of a generalized function for a class of shapes known as Julia sets. In 1979, Mandelbrot discovered that one image of the complex plane could be created by iteration .

  6. Kalles Fraktaler - Wikipedia

    en.wikipedia.org/wiki/Kalles_Fraktaler

    A couple fractals, like the Burning ship and Perpendicular Mandelbrot fractals, have very stretched areas that require stretching of one's own to view. However, the fork has moved the Skew feature to Transformations. Fractals can be stretched by minimizing the Kalles Fraktaler window, hitting CTRL + T, and using right-click to stretch the fractal.

  7. Orbit trap - Wikipedia

    en.wikipedia.org/wiki/Orbit_trap

    Mandelbrot set rendered using a combination of cross and point shaped orbit traps. In mathematics , an orbit trap is a method of colouring fractal images based upon how close an iterative function , used to create the fractal, approaches a geometric shape, called a "trap".

  8. The Fractal Geometry of Nature - Wikipedia

    en.wikipedia.org/wiki/The_Fractal_Geometry_of_Nature

    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]

  9. Pickover stalk - Wikipedia

    en.wikipedia.org/wiki/Pickover_stalk

    Example of Pickover stalks in a detail of the Mandelbrot set Pickover stalks are certain kinds of details to be found empirically in the Mandelbrot set , in the study of fractal geometry . [ 1 ] They are so named after the researcher Clifford Pickover , whose "epsilon cross" method was instrumental in their discovery.