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  2. XaoS - Wikipedia

    en.wikipedia.org/wiki/XaoS

    XaoS is an interactive fractal zoomer program.It allows the user to continuously zoom in or out of a fractal in real-time. XaoS is licensed under GPL.The program is cross-platform, and is available for a variety of operating systems, including Linux, Windows, Mac OS X, BeOS and others.

  3. Mandelbrot set - Wikipedia

    en.wikipedia.org/wiki/Mandelbrot_set

    The quaternion (4-dimensional) Mandelbrot set is simply a solid of revolution of the 2-dimensional Mandelbrot set (in the j-k plane), and is therefore uninteresting to look at. [43] Taking a 3-dimensional cross section at d = 0 ( q = a + b i + c j + d k ) {\displaystyle d=0\ (q=a+bi+cj+dk)} results in a solid of revolution of the 2-dimensional ...

  4. Plotting algorithms for the Mandelbrot set - Wikipedia

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

    Every pixel that contains a point of the Mandelbrot set is colored black. Every pixel that is colored black is close to the Mandelbrot set. Exterior distance estimate may be used to color whole complement of Mandelbrot set. The upper bound b for the distance estimate of a pixel c (a complex number) from the Mandelbrot set is given by [6] [7] [8]

  5. Connectedness locus - Wikipedia

    en.wikipedia.org/wiki/Connectedness_locus

    Without doubt, the most famous connectedness locus is the Mandelbrot set, which arises from the family of complex quadratic polynomials : f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z^{2}+c\,} The connectedness loci of the higher-degree unicritical families,

  6. Fractal - Wikipedia

    en.wikipedia.org/wiki/Fractal

    SierpiƄski Carpet - Infinite perimeter and zero area Mandelbrot set at islands The Mandelbrot set: its boundary is a fractal curve with Hausdorff dimension 2. (Note that the colored sections of the image are not actually part of the Mandelbrot Set, but rather they are based on how quickly the function that produces it diverges.)

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  8. Misiurewicz point - Wikipedia

    en.wikipedia.org/wiki/Misiurewicz_point

    Misiurewicz points in the context of the Mandelbrot set can be classified based on several criteria. One such criterion is the number of external rays that converge on such a point. [4] Branch points, which can divide the Mandelbrot set into two or more sub-regions, have three or more external arguments (or angles). Non-branch points have ...

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    Get answers to your AOL Mail, login, Desktop Gold, AOL app, password and subscription questions. Find the support options to contact customer care by email, chat, or phone number.