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A fractal is generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity...
 Wikipedia philosophy mathematics fractal nature
It tends to be taken for granted that the Mandelbrot is too calculation-intensive to be done without computers. What we have to remember is the sheer devotion of the monastic life. This was a labour of faith, and Udo was prepared to work for years. Some slowly-converging pixels must have taken weeks.
An open letter to the wizards of Wall Street from Benoît Mandelbrot, father of the fractal.


So, basically, our idea is this: it is possible to plot a complex path, tracing connections through both clinical and critical theory, towards a new kind of science — a de-centered, non-hierarchical science, capable of grasping and bridging the ruptures between cybernetics, language and society.
 philosophy fractal science
The researchers discovered in their study that the bacteria’s game theory decision making process is far more advanced than the well-known game theory problem known as the Prisoner's Dilemma. Scientists studying how bacteria under stress collectively weigh and initiate different survival strategies say they have gained new insights into how humans make strategic decisions that affect their health, wealth and the fate of others in...


 bacteria complexity intelligence network game theory mathematics decision fractal economy politics speed time social
Scientists have worked out just what a perfectly designed gill mushroom would look like.


 mushroom mycology shape fractal toread
Under the right conditions, a bursting bubble on a liquid surface does not simply vanish, but creates a perfect ring of tiny "daughter bubbles"...


 bubble physics burst drop time moment fractal
Benoit Mandelbrot, who discovered mathematical shapes known as fractals, has died of cancer at the age of 85. Mandelbrot, who had joint French and US nationality, developed fractals as a mathematical way of understanding the infinite complexity of nature.


 fractal mathematics Benoit Mandelbrot geometry complexity