Peter de Jong Attractors

Or "Wonders of Mathematics".

✘ "The changing shapes in the video are called attractors. They are graphical forms of a simple mathematical formula attributed to Peter de Jong. At any given moment the way a single attractor looks depends only on four numbers. A slight variation in these numbers can remarkably change the appearance of an attractor. This is why there are so many different shapes and, while the numbers change continuously during the video, the shapes are so fluid, fleeting and flickering. Every frame of the video consists of 600,000 white points on a sky-blue background.

✘ Peter de Jong formula:
x'=sin(a y)-cos(b x)
y'=sin(c x)-cos(d y)

✘ The code of the video is based on an example from The Wolfram Demonstration Project:
demonstrations.wolfram.com/PeterDeJongAttractors/ "

✘ Original video by Vitaliy Kaurov:
https://vimeo.com/14923758

✘ Edited by Pietro Agnoletto
https://vimeo.com/user14598830

✘ Musical composition is "Geetar" by Mark-Williams
Free downloadable at:
https://soundcloud.com/mark-williams-3/geetar).

Видео Peter de Jong Attractors канала RAD Lab