Strange attractor

Some renders of my explorations on the strange attractors.

The Lorenz Fractal

Strange Attractor

I wanted to create a series of pictures representing mathematical shapes on white background, like a "tribute to mathematics" that I often use in my work. I chose the "strange attractors" for their dynamic forms and "chaotic feel". Because I'm not a mathe…

Strange Attractors fractal exploration

An attracting set that has zero measure in the embedding phase space and has fractal dimension. Trajectories within a strange attractor appear to skip around randomly. A selection of strange attractors for a general quadratic map x_(n+1) = a_1+a_2x_n+a_3x_n^2+a_4x_ny_n+a_5y_n+a_6y_n^2 (1) y_(n+1) = a_7+a_8x_n+a_9x_n^2+a_(10)x_ny_n+a_(11)y_n+a_(12)y_n^2 (2) are illustrated above, where the letters A to Y stand for coefficients of the quadratic from -1.2 to 1.2 in steps of 0.1 (Sprott...

Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.

Some renders of my explorations on the strange attractors.

The Lorenz strange attractor. Built with Houdini, rendered with Blender Cycles.