Mandelbrot Curve in Acheron 2.0
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(since Jan 2010)
As almost all fractals curves, the construction of the Mandelbrot curve is
based on a recursive procedure.
All Variations described are available using Acheron 2.0
Born: 20 Nov 1924 in Warsaw, Poland
Benoit Mandelbrot was largely responsible for the present interest in fractal geometry. He showed how fractals can occur in many different places in both mathematics and elsewhere in nature.
Mandelbrot was born in Poland in 1924 into a family with a very academic tradition. Mandelbrot was introduced to mathematics by his two uncles.
Mandelbrot's family emigrated to France in 1936 and his uncle Szolem Mandelbrojt, who was Professor of Mathematics at the Collège de France, took responsibility for his education. Mandelbrot attended the Lycée Rolin in Paris up to the start of World War II. He completed his studies at the Ecole Polytechnique of Paris. The, Mandelbrot went to the Institute for Advanced Study in Princeton where he was sponsored by John von Neumann.
Mandelbrot returned to France in 1955 and worked at the Centre National de la Recherche Scientific. He married Ailette Kagan and shortly after returned to the United States.
In the 1970s, with the aid of computer graphics, Mandelbrot who then worked at IBM's Watson Research Center, was able to show how Julia's work is a source of some of the most beautiful fractals known today. To do this he had to develop not only new mathematical ideas, but also he had to develop some of the first computer programs to print graphics.
His work was first put elaborated in his book Les objets fractals, forms, hasard et dimension (1975) and more fully in The fractal geometry of nature in 1982.
Mandelbrot has received numerous honours and prizes in recognition of his remarkable achievements. In 1985 Mandelbrot was awarded the 'Barnard Medal for Meritorious Service to Science'. The following year he received the Franklin Medal. In 1987 he was honoured with the Alexander von Humboldt Prize, receiving the Steinmetz Medal in 1988 and many more awards including the Nevada Medal in 1991 and the Wolf prize for physics in 1993. In 1999, Mandelbrot received the Honorary Degree of Doctor of Science from the University of St Andrews.