User:Importemps

Newton's cradle

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This user has been on Wikipedia for 13 years, 10 months and 19 days.

Ceci n'est pas une boîte utilisateur.

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Picture of the day

• 
  Initial image of the Mandelbrot set
  (1× magnification)
• 
  "Head and shoulder"
  (6× magnification)
• 
  "Seahorse valley"
  (60× magnification)
• 
  "Seahorse"
  (191× magnification)
• 
  "Seahorse tail"
  (1345× magnification)
• 
  "Tail part"
  (4169× magnification)

The Mandelbrot set is a two-dimensional mathematical set that is defined in the complex plane as the numbers ${\displaystyle c}$ for which the function ${\displaystyle f_{c}(z)=z^{2}+c}$ does not diverge to infinity when iterated starting at ${\displaystyle z=0}$. It was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups, with Benoit Mandelbrot obtaining the first high-quality visualizations of the set two years later. Images of the Mandelbrot set exhibit an infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The Mandelbrot set is well-known outside mathematics and is commonly cited as an example of mathematical beauty. These images, generated by a computer program, show an area of the Mandelbrot set known as "seahorse valley", which is centred on the point ${\displaystyle -0.75+0.1i}$, at increasing levels of magnification.Image credit: Wolfgang Beyer

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