Home Maths Fractals: The Colours of Infinity
Fractals: The Colours of Infinity

Fractals: The Colours of Infinity

Share Button
The Mandelbrot Set. Click to enlarge.

The Mandelbrot Set is perhaps the most beautiful representation of infinity ever discovered. In this rare 1995 documentary Arthur C. Clarke takes us on a psychedelic journey into the depths of the M-Set, discovering that it has no end, it literally goes on for ever. No matter how much you zoom in on it there is new details, apparently random yet self-similar.

The M-Set was discovered in 1980 by the late French mathematician Benoît Mandelbrot, who coined the term fractal geometry to describe this new field of mathematics. Fractals have many parallels with the patterns found in biology, nature, and the wider universe and seem to speak to us in a very fundamental way – Clarke discusses examples of similar patterns that have appeared throughout the ages in art, spiritual and religious paintings, mandalas, through the use of LSD and even the patterns you see when you close your eyes. Clarke then goes on to discuss the possibilities for fractals in computer science, graphics, and the development of our future technologies.

Mandelbrot Zoom
Infinite complexity.

The set emerges from graphing the following simple equation:

The symbol in the middle of the equation simply means that the results of the right hand side of the equation continually feeds back into the left hand side to create the next point on the graph.

And from such humble beginnings emerges a world of staggering beauty and infinite complexity.

This documentary was produced by Gordon Films and includes interviews with Stephen Hawking, Ian Stewart and Benoît Mendelbrot himself.

 Fractals: The Colours of Infinity

Share Button
The Replica Breitling Watch is by far different from the earlier one in replica watches sale that this time round it has additional professional features, such as for the aviation professionals. The new curve on the replica watches sale actually make it more likeable and impressive.The backlight is designed to function in light or dark situations. The rolex replica sale has been noted and has received certification. These is a must have rolex replica watches and it has a water resistance quality. When buying a watch you need to count on a jeweler who will sell the product affordably. One the rolex replica sale are cheap and contain a tag of quality in them. There are many available styles that you get to choose from.