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EXPERIMENT 001 / LISSAJOUS ORBITS

Shape the
impossible.

Two simple waves can create surprising order. Change their relationship and watch a new form emerge.

Interactive Lissajous orbit

LIVE SYSTEMORBIT 03·05
CONTROL PANEL

Change the
relationship.

Whole-number frequency ratios create symmetry. Try nearby numbers and look for repeating structures.

EXPLORE THE COLLECTION

Four ways to see
mathematics move.

EXPERIMENT 002

Fractal
explorer.

The Mandelbrot set turns one compact rule into an infinitely detailed boundary. Click the image to recenter, then zoom deeper.

Scale 1.00×
zₙ₊₁ = zₙ² + c
EXPERIMENT 003

Chaos
pendulum.

Deterministic equations can still become unpredictable. Two nearly identical pendulums begin together and slowly disagree.

sensitivity to initial conditions
EXPERIMENT 004

Prime
constellations.

Place the integers on a square spiral and mark only the primes. Diagonal structures appear where randomness was expected.

Ulam spiral / primes only