===Local connectivity=== ===Self-similarity=== The Mandelbrot set in general is not strictly self-similar but it is quasi-self-similar, as small slightly different versions of itself can be found at arbitrarily small scales. The little copies of the Mandelbrot set are all slightly different, mostly because of the thin threads connecting them to th...
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http://en.wikipedia.org/wiki/Mandelbrot_set
(from the article `Mandelbrot, Benoit`) ...of precise conjectures about this set and helped to generate a substantial and continuing interest in the subject. Many of these conjectures have ...
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http://www.britannica.com/eb/a-z/m/24
The best known fractal and one of the most complex and beautiful mathematical objects known. It was discovered by Benoît Mandelbrot in 1980 and named after him by Adrien Douady and J. Hubbard in 1982. The set is produced by the incredibly simple iteration formula: z
n+1 = z&l...
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http://www.daviddarling.info/encyclopedia/M/Mandelbrot_set.html
An extremely complex fractal that is related to Julia sets in the way that it is constructed and by the fact that it acts as a sort of index to the Julia sets. Like the Julia sets, the Mandelbrot set is calculated via an iterative procedure. Starting conditions that do not diverge after an infinite number of iterations are considered to be inside t...
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http://www.encyclo.co.uk/local/20090
[
n] - a set of complex numbers that has a highly convoluted fractal boundary when plotted
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http://www.webdictionary.co.uk/definition.php?query=Mandelbrot%20set
The most famous fractal, named after Benoit Mandelbrot. It is created by iterating an equation many times.'If the entire Mandelbrot set were placed on an ordinary sheet of paper, the tiny sections of boundary we examine would not fill the width of a hydrogen atom. Physicists think about such tiny objects; only mathematicians have microscopes fine e...
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https://www.encyclo.co.uk/local/20687
noun a set of complex numbers that has a highly convoluted fractal boundary when plotted; the set of all points in the complex plane that are bounded under a certain mathematical iteration
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https://www.encyclo.co.uk/local/20974
a set of points in the complex plane, the boundary of which forms a fractal, based on all the possible c points and Julia sets of a function of the form z2 + c (where c is a complex parameter)
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https://www.storyofmathematics.com/glossary.html
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