Lorenz Attractor

A grayscale plot of the Lorenz attractor, forming two overlapping spiral lobes in a butterfly shape.

A plot of the Lorenz attractor — the trajectory of the Lorenz system, three differential equations Edward Lorenz published in 1963 from a simplified model of atmospheric convection. The path settles into two lobes without ever repeating or crossing itself, forming the butterfly shape associated with chaotic systems.