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Gaston Julia
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Gaston Maurice Julia was a French mathematician who devised the formula for the Julia set. His works were popularized by Benoit Mandelbrot; the Julia and Mandelbrot fractals are closely related. He fo
Gaston Julia (right), with Gustav Herglotz and two dogs
Gaston Julia (right), with Gustav Herglotz and two dogs
Example of a Julia set (C = [0.285, 0.01])
Example of a Julia set (C = [0.285, 0.01])
Mandelbrot set
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The Mandelbrot set is a two-dimensional set. It is defined in the complex plane as the complex numbers c for which the function f c = z 2 + c does not diverge to infinity when iterated starting at z =
Gaston Julia
…Étude sur les formes binaires non quadratiques à indéterminées réelles ou complexes, ou à indéterminées conjuguées, Gauthier-Villars 1917 Mandelbrot set O'Connor, John J.; Robertson, Edmund F., "Gaston Julia", MacTutor History of Mathematics Archive, University of St Andrews…
The Mandelbrot set plotted on the complex plane within a continuously colored environment
The Mandelbrot set plotted on the complex plane within a continuously colored environment
Gap between the "head" and the "body", also called the "seahorse valley"
Gap between the "head" and the "body", also called the "seahorse valley"
Double-spirals on the left, "seahorses" on the right
Double-spirals on the left, "seahorses" on the right