Strange Attractors

The Lorenz Attractor

In 1963, Edward Lorenz was modelling atmospheric convection when he discovered something unexpected — a system of three differential equations that never repeats, yet stays forever bounded within a finite region of phase space.

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Reaction Diffusion

Gray-Scott and the Patterns of Life

The spots on a cheetah, the stripes on a zebrafish, the branching of lung tissue — all arise from the same mathematical mechanism: two chemicals competing for space via reaction and diffusion.

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Harmonic Geometry

Why Lissajous Figures Are Everywhere

Lissajous figures appear wherever two harmonic oscillations interact at right angles — oscilloscopes, pendulum tables, seismic sensors. The simplest ratios produce the most elegant forms.

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Fractal Series

The Edge of the Mandelbrot Set

The boundary of the Mandelbrot set has infinite complexity. At every scale, new structures emerge — seahorses, elephants, spirals within spirals. We explore what lives at the edge.

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Wave Patterns

Interference and Moiré

When two wave patterns overlap slightly out of phase, they create a third pattern — larger, slower, more complex than either source. Moiré patterns are interference made visible.

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