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.
Chords cut straight across a rose curve at a fixed angular step, folding the smooth petals into a faceted star nobody plotted directly.
Chords cut straight across a rose curve at a fixed angular step, folding the smooth petals into a faceted star nobody plotted directly.
Part of Curve & Field Backgrounds. Runs 12 seconds by default, exports in 16:9, 9:16, 1:1 and 4:5, as MP4 or transparent WebM up to 8K.
A 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.
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.
One strip folded in half over and over, never crossing itself, tiling the plane into a shape that looks designed but is only folding.
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.
Every point in the frame is given a direction by a drifting noise field, and hundreds of short streamlines follow whatever direction they land on.
Equal circles laid on a hexagonal grid overlap into the old six-fold rosette, revealed one ring at a time from the centre out.
A single unbroken line finds its way through every cell of the grid exactly once, and you watch it fill the square as it goes.
Every edge sprouts a smaller spike on every pass, and the outline draws itself around until the snowflake closes on its own start.