the butterfly effect

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The Lorenz Attractor is a solution to a set of differential equations originally developed to model small scale atmospheric behavior. Plotted, the results of the system produce unusual visualizations of deterministic chaos.

Typically, a point is moved through three dimensional space by a system of three transforming equations. Regardless of where the point begins, it always falls into the pattern as approximated above.


figure a. alternate perspective of the Lorenz Attractor looking down the z-axis

figure b. another view from the same direction as figure a, yet starting from a slightly different position


This implementation processes only the first 1500 iterations of the Lorenz Attractor. The Lorenz Attractor is often attributed to Ed. Lorenz, who presented a paper to the New York Academy of Science in 1963 as the butterfly effect.

There is no user interaction.

march 10, 2001

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