La théorie du Chaos

A double rod pendulum animation showing chaotic behavior.

Starting the pendulum from a slightly different initial condition would result in a completely different trajectory.

The double rod pendulum is one of the simplest dynamical systems that has chaotic solutions.

A fractal is a never-ending pattern.

Fractals are infinitely complex patterns that are self-similar across different scales.

They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc.