Live Pieces

Murmurationlive

Sine-warped density advected along one slowly veering heading condenses into silver filaments — ten thousand starlings implied by flow alone.

ruleiterated sine-warp advected along one shared, slowly veering heading

Criticalitylive

A field held at its critical point — domains flicker and merge at every scale, their fractal coastlines traced in teal and slow-burning ember.

ruleseven octaves of drifting noise, thresholded at zero — walls glow where the field hesitates

Golden Fieldlive

One angle — 137.5°, repeated without end — grows a living galaxy of golden beads whose Fibonacci counter-spirals assemble themselves.

ruleone angle, 137.5°, repeated forever; radius grows as √n

Attractorlive

One circle, folded by three slow sines and wound with a braided pair of filaments, becomes a strange ribbon of smoke-light orbiting in blackness.

rulea raymarched glow around a curve folded by rotation after rotation

Deep Latticelive

One cell splits into nine, and each of the nine splits again — a lattice falling forever into its own structure.

ruleone cell splits into nine, survivors split again — three times deeper every twelve seconds

Phantom Trafficlive

Sixteen lanes of streaming quanta obey one compression rule, and jams no one caused condense and roll backward against the flow as slow amber shockwaves.

rulebeads stream forward; the jam is a wave that travels backward

Contourslive

A survey map of ground that will not hold still.

ruleDraw every level of a smooth landscape that keeps moving, and make every fifth line heavier.

Traced Currentlive

Every line is a path the current takes; the gold one is the path through a single point.

ruleThe flow is the curl of one smooth field, so nothing can pile up anywhere: every line drawn is a path the current follows, and the lines crowd where it runs fast.

Moirélive

Two plain gratings, one pattern neither of them contains.

ruleTwo sets of evenly spaced circles are printed one over the other, and every spoke you see is where their lines fall in and out of step; no spoke is drawn.

Needleslive

A field of clocks, each drawn toward its neighbours; agreement travels as a wave.

ruleEach needle is an oscillator whose angle is its phase. They all turn at one rate, and each shows teal just as it passes phase zero. The phase field is written in closed form: a spiral wave, a travelling wave and in-step patches added together. Where one of the three dominates, needles agree; where they cancel, needles shorten into defects.

Ruled Zeroslive

The zeros of zeta, found live by the Riemann–Siegel sum; the ruling of the page bends to meet each one.

ruleEvery pixel is coloured by the phase of the Riemann–Siegel Z function, taken a little way off the critical line. Lines of equal phase come in from both margins as an even ruling and can meet only at a zero of zeta. So each gold bead is a real zero, and the beads keep their distance from one another the way the eigenvalues of a random matrix do.

sharedThe rule is the one the Repulsion instrument is built on: the zeros of zeta, located with the same Riemann–Siegel Z function its list of zeros was computed with, and the same spacing between them. The instrument is where that spacing is measured; this piece only draws it. Open Repulsion →

Brancheslive

A weak random landscape is enough to gather straight rays into branches.

ruleRays leave one point and cross a gentle random landscape; where the landscape bends neighbouring rays together, the ray density rises, and the ink is that density.

sharedThe rule is the one the Branch instrument is built on: rays through weak, smooth disorder focus into branches instead of blurring, and the folds are caustics. The instrument is where that is traced and measured; this piece only inks the density. Open Branch →