Mandlebrot

“Fractal Universe” by Nathan Benmargi
Our study of the Universe reveals an underlying distribution of recursive fractal geometries. Dynamic patterns unfold across an infinite range of scales and dimensions. Holographic in nature, our local sector of the universe mirrors the entire cosmos within each part of itself. Seemingly chaotic but grounded by stable natural laws, these flowing fractals hold the cosmos in a dancing embrace.

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Winners and Losers:  Mathematics Edition

So your team didn’t win the Super Bowl.  Maybe your team didn’t even play the Super Bowl…  Did your team get knocked out of March Madness by a low seed, ruining your entire bracket?  There are always winners and losers in life, and the brutal world of mathematics is no different.  In 1918, Algerian-French mathematician Gaston Maurice Julia (born on February 3, 1893, died on this day on March 19, 1978) published a 199 page treatise called Mémoire sur l'itération des fonctions rationnelles, in which he described the way a rational function would see large or small changes, known today as a Julia Set.  He had just returned from his service in the Great War where he suffered a terrible and disfiguring injury, losing his nose.  

His paper, however, would earn him almost instant and universal acclaim-he was recognized world wide, not only among mathematicians but in the general public as well.  His fame rapidly faded however, and Julia taught mathematics for years.  His most famous student was none other than Benoit Mandebrot, who popularized fractals and brought the Julia set back into math.  History, of course, only remembers Mandelbrot–the student really did succeed the teacher.  Fractals are found everywhere, from screen savers to college dorm posters to underwear and carpet patterns.  

Gaston Maurice Julia-we remember you today!

Image of a Julia Set generated by me at www.easyfractalgenerator.com.  Yes, there really is a website for everything!