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A mosaic made by matching Julia sets to their values of c on the complex plane. The Mandelbrot set is a map of connected Julia sets. As a consequence of the definition of the Mandelbrot set, there is a close correspondence between the geometry of the Mandelbrot set at a given point and the structure of the corresponding Julia set. For instance ...
A tricorn, created on a computer in Kalles Fraktaler. Tricorn zoom onto mini-tricorn Multicorns with the power going from 1 to 5. In mathematics, the tricorn, sometimes called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping ¯ + instead of + used for the Mandelbrot set.
The main image in the set is Mandel zoom 00 mandelbrot set.jpg. If you have a different image of similar quality, be sure to upload it using the proper free license tag , add it to a relevant article, and nominate it .
A 4K UHD 3D Mandelbulb video A ray-marched image of the 3D Mandelbulb for the iteration v ↦ v 8 + c. The Mandelbulb is a three-dimensional fractal, constructed for the first time in 1997 by Jules Ruis and further developed in 2009 by Daniel White and Paul Nylander using spherical coordinates.
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]
Media in category "Mandelbrot set (featured picture set)" The following 15 files are in this category, out of 15 total. Mandel zoom 00 mandelbrot set.jpg 2,560 × 1,920; 1.25 MB
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English: This video is comprised of frames illustrating each of the powers of the mandelbrot set from 0.05 to 2, incrementing by 0.05 with each iteration. Date 14 May 2014, 11:41:42
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