Strange Attractors

Have you ever seen a pendulum swinging over a pit of sand, tracing patterns as it moves? The results can be simple or complex, depending on the forces generating the motion. In a truly chaotic system, a strange attractor represents this final state, and can be visualized using surprisingly simple mathematical equations. Initially inspired by Clifford Pickover’s Chaos in Wonderland, I have been experimenting with chaotic attractors since 2001. I call this series Aesthetic Explorations of Attractor Space. For more technical and mathematical information, view the Tech Notes.

Star Birth

Star Birth

Star birth takes place in a faraway mathematical galaxy, not unlike MG16, the Eagle Nebula, from which I sampled color for this piece.

Butterfly Effect

Butterfly Effect

Besides the fact that this attractor looks like an abstract butterfly, the title of the piece is an homage to Edward Lorenz, a pioneer of chaos theory. Most people have heard of the “butterfly effect” and the idea that the weather is a chaotic system with sensitive dependence on initial conditions, which is what makes it so darn hard to predict ;)

Trefoil

Trefoil

A delicate kite-like form drifts up towards you on unseen mathematical currents…

Alluvial Fan

Alluvial Fan

Part of what inspires me about this form is its resemblance to aerial photographs of river deltas and other geological phenomena. Perhaps it is a minimalistic interpretation of what an alluvial fan looks like from above.

Suspensions

Suspensions

Suspensions is a black & white series created from the Aesthetic Explorations series. Although they are digital, when these images are printed, the resulting effect is one of a detailed pencil or charcoal drawing.