Tag Archives: Fractals

Fractals are beautiful mathematical objects which look similar at all scales.

Can you glue opposite edges of a square? Relativity 7

April 05, 2016Relativity2501 vuesEdit

Chaos Theory, Meteorology, Navier-Stokes, Wolfram (Hiking in Modern Math 5/7)

February 21, 2016More Hiking in Modern Math World851 vuesEdit

Fractals, Mandelbrot, Pixar (Trek through Math 4/8)

February 01, 2016A Trek through 20th Century Mathematics1200 vuesEdit

The Tortuous Geometry of the Flat Torus

March 09, 2014Article10073 vuesEdit
Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn't figure out. While John Nash did answer yes, he couldn't say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!

Self-Reference, Math Foundations and Gödel’s Incompleteness

November 29, 2012Article3219 vuesEdit
Although highly appreciated by artists, self-reference has been a nightmare for mathematicians. It took one of the greatest, Kurt Gödel, to provide a better understanding of it. This article deals with paradoxes, recursion, fractals and Gödel's incompleteness theorems.

From Britain’s coast to Julia set: an introduction to fractals

May 20, 2012Article2718 vuesEdit
Introduction I could have started this article by showing you beautiful examples of fractals, found in nature or invented by mathematicians, in two or three dimensions, constructed deterministically or not. But I won’t. In fact, you wouldn’t need to read this article to find such examples. I’d rather start by telling you a story. It […]