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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. 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,

  4. File:Mandel zoom 00 mandelbrot set.jpg - Wikipedia

    en.wikipedia.org/wiki/File:Mandel_zoom_00...

    English: Mandelbrot set. Initial image of a zoom sequence: Mandelbrot set with continuously colored environment. Coordinates of the center: Re(c) = -.7, Im(c) = 0; Horizontal diameter of the image: 3.076,9; Created by Wolfgang Beyer with the program Ultra Fractal 3. Uploaded by the creator.

  5. 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]

  6. 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. [44] 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 ...

  7. Wikipedia : Featured picture candidates/Mandelbrot set 2

    en.wikipedia.org/.../Mandelbrot_set_2

    Support As Set. An amazing set of pictures. Nautica Shad e s 13:51, 11 December 2006 (UTC) Promoted Image:Mandel zoom 00 mandelbrot set.jpg. This is an unusual nom; I'll stick the FP tag on all the images but only put the first one on the FP and FPT pages. I'll also replace Image:Mandelbrot set 2500px.png with this one.

  8. 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". Typical traps are points, lines, circles, flower shapes and even raster ...

  9. Burning Ship fractal - Wikipedia

    en.wikipedia.org/wiki/Burning_Ship_fractal

    The difference between this calculation and that for the Mandelbrot set is that the real and imaginary components are set to their respective absolute values before squaring at each iteration. [1] The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy–Riemann equations. [2]