Two perpendicular oscillations at whole-number frequencies weave a closed ribbon, and the phase between them drifts so the knot keeps retying itself.
Category
Curve & Field Backgrounds
Parametric curves and wave fields drawn straight from their own equations.
A small wheel rolls inside a larger one and the pen offset slides in and out, so the rosette opens and closes without ever breaking its loop.
Rose Curve
10sA single polar equation sweeps a petal at a time around the centre, and the phase rotation walks the petals round without the shape ever changing size.
One polar equation with seven numbers walks from a rounded blob to a spiked star and back, drawing whatever shape lies between them on the way.
Sand settles along the still lines of a vibrating plate, and as the driving mode swings through zero the whole nodal figure inverts and reforms.
Several ripple sources push against each other and the bright bands fall where their crests agree, sliding as the sources beat in and out of phase.
A two line iterated map is run tens of thousands of times and the points pile up into a fractal cloud that never quite crosses its own path.
Flow Field
15sEvery point in the frame is given a direction by a drifting noise field, and hundreds of short streamlines follow whatever direction they land on.
Seeds are placed one golden angle apart on a widening spiral, the arrangement a sunflower head uses, and the whole disc turns and breathes.
A chain of circles each turn on the rim of the one before, and the pen at the end of the chain traces the closed figure their speeds add up to.