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Convergence in the Lorenz Attractor
Most visualizations of the Lorenz attractor are of a long history of a single point after convergence to the attractor has occurred. I was interested in what the surrounding space looked like, so I randomly selected 20,000 starting points from a three dimensional Gaussian distribution with a standard deviation of 100. Each point was iterated, [...]
Color Cycled Lorenz Attractor
Another visualisation of the Lorenz attractor discussed in Lorenz and the Butterfly Effect, color cycled between green and blue. A path of one million points, newer values are green, older values are blue. I’ve also produced some higher resolution stills with better antialiasing. Built with Processing.
Lorenz and the Butterfly Effect
In 1962, Edward Lorenz was studying a simplified model of convection flow in the atmosphere and discovered something that wasn’t simple at all.
