The father of fractals, Benoit Mandelbrot, is dead
The mathematician Benoît Mandelbrot who developed the geometrical shapes, fractal, died at the age of 85 years.
The French and American nationality, Mandelbrot, named and developed the fractal theory as a mathematical way to capture the infinite complexity of nature.
Fractals are used for measuring natural phenomena, that were regarded as non-measurable, such as clouds or coastlines. These discoveries have applications in many fields such as geology, medicine, astronomy, mechanical engineering, but also economics and anatomy.
According to his family, Benoît Mandelbrot died in Cambridge, Massachusetts from pancreatic cancer.
French President Nicolas Sarkozy in a statement paid tribute to the great mathematician, “a strong spirit, authentic, never hesitated to make innovations and to fight against established views.
Benoît Mandelbrot was born in Warsaw on November 20, 1924, in a Jewish family of Lithuanian origin. To escape the Nazi threat fled to France with his family, and then moved to the United States after the Second World War.
————————————————————————————————————————————————————————————–
A very good video about fractals and Mandelbrot
http://video.google.com/googleplayer.swf?docid=8570098277666323857&hl=en&fs=true
↔
Life
http://en.wikipedia.org/wiki/Beno%C3%AEt_Mandelbrot
“He Gave Us Order Out of Chaos” — R.I.P. Benoît Mandelbrot, 1924-2010
http://en.wikivisual.com/index.php/Mandelbrot_set
Benoit Mandelbrot on Risk, Efficient Markets, and Bachelier
Interviews
Benoit Mandelbrot: Fractals and the art of roughness
Mandelbrot Set
Introduction to the Mandelbrot Set
Mandelbrot Set
Mandelbrot Set Zoom
The Mandelbrot Set
Mu-Ency – The Encyclopedia of the Mandelbrot Set
3D Mandelbrot fractal
Mandelbrot set Tools
Julia and Mandelbrot Set Explorer
Mandelbrot Applet
The Mandelbrot Set
Zoomable Mandelbrot Fractal
Mandelbrot Explorer
Mandelbrot
Mandelbrot
Studying Mandelbrot Fractals
iFractal
Books
DVDs on Mandelbrot set










I’ve been searching for years (on and off, of course) for a simple way to teach algebra students about fractals. My students know about imaginary numbers, which, in my limited understanding of fractals, I read are part of creating fractals. If there an algebra activity anywhere that kids can do to create a fractal- albeit simple!- on graph paper?
Actually I would assume that IFS is a superset of all the others, but then again that is just an opinion…
IFS?
Iterated function System, http://en.wikipedia.org/wiki/Iterated_function_system
If you are not into maths, the whole idea of making fractals is to feed the output of a process back to the process as input. This is the idea of iteration and if you repeat that many times you have a ‘chaotic’ behavior. The process should not be very very simple (what mathematicians call linear).
Great collection of references! Btw, I’ve found a poll here (http://wotasa.com/cpage.php?id=50) that divides fractals in “types”. But is speaking of clusters and types correct in this case?
[…] As Benoit Mandelbrot wrote in his late book about the Stock Market “The (mis)behavior of the Stock Market” the challenge is to predict the misbehavior of the market in the days of the crisis… RIPhttps://e1saman.wordpress.com/2010/10/17/the-father-of-fractals-benoit-mandelbrot-is-dead/ […]