diff --git a/paths.js b/paths.js
index c783855..774409d 100644
--- a/paths.js
+++ b/paths.js
@@ -72,48 +72,96 @@ export function turningFunctionToPoints(turning, samples = 14) {
     return pts;
 }
 
+// A path plus the motion that is its own: where it sits, how it
+// spins, how it drifts, how fast it traces itself in. Every rate is
+// an integer number of cycles so the field loops seamlessly at t = 1.
 export function makePaths(seed, count, stops = 10) {
     const rand = mulberry32(seed);
     const paths = [];
     for (let i = 0; i < count; i++) {
-        paths.push(turningFunctionToPoints(createTurningFunction(rand, stops)));
+        const pts = turningFunctionToPoints(createTurningFunction(rand, stops));
+        let cx = 0, cy = 0;
+        for (let k = 0; k < pts.length; k += 2) { cx += pts[k]; cy += pts[k + 1]; }
+        cx /= pts.length / 2;
+        cy /= pts.length / 2;
+        const sign = rand() > 0.5 ? 1 : -1;
+        paths.push({
+            pts,
+            cx,
+            cy,
+            // own turns per cycle: a third sit still, the rest turn one
+            // or two full turns either way over the cycle
+            spin: rand() < 0.33 ? 0 : sign * (1 + Math.floor(rand() * 2)),
+            // slow orbit around its own place, radius in frame units
+            driftR: 0.01 + rand() * 0.03,
+            driftK: 1 + Math.floor(rand() * 3),
+            driftPhase: rand() * Math.PI * 2,
+            // its own wave along the line
+            waveF: 4 + rand() * 6,
+            waveK: 1 + Math.floor(rand() * 2),
+            waveA: 0.004 + rand() * 0.008,
+            // tracing tempo: how many times it redraws itself per cycle
+            tempo: 1 + Math.floor(rand() * 2),
+            phase: rand(),
+        });
     }
     return paths;
 }
 
-// t in [0, 1) is the animation phase. Each path traces itself in over
-// one cycle, offset by its index so the field is always mid-draw, and
-// fades as it completes; the whole field drifts slowly and a soft
-// wave runs through every line. `colors` is [accent, dim] - the
-// palette comes from the page's own custom properties either way.
+// t in [0, 1) is the animation phase. Each path traces itself in at
+// its own tempo and phase, fades as it completes, turns at its own
+// rate about its own center and drifts on its own small orbit; a wave
+// with its own frequency runs along it. The tip is interpolated
+// between samples so a trace glides instead of stepping. `colors` is
+// [accent, dim] - the palette comes from the page's custom properties.
+const smooth = (u) => u * u * (3 - 2 * u);
+
 export function drawPaths(ctx, width, height, paths, t, colors) {
     ctx.clearRect(0, 0, width, height);
     const s = Math.min(width, height) * 0.9;
     ctx.save();
     ctx.translate(width / 2, height / 2);
-    ctx.rotate(t * Math.PI * 2 * 0.08);
     ctx.lineWidth = 1;
     ctx.lineCap = 'round';
     ctx.lineJoin = 'round';
-    const n = paths.length;
-    const wave = t * Math.PI * 2;
-    for (let i = 0; i < n; i++) {
-        const pts = paths[i];
-        const phase = (t + i / n) % 1;
-        // ease: quick to appear, long to complete
-        const progress = Math.min(1, phase * 1.35);
-        const count = Math.max(2, Math.floor((pts.length / 2) * progress));
+    const TAU = Math.PI * 2;
+    for (let i = 0; i < paths.length; i++) {
+        const p = paths[i];
+        const phase = (t * p.tempo + p.phase) % 1;
+        // ease: quick to appear, long to complete, then fade
+        const progress = smooth(Math.min(1, phase * 1.35));
         const alpha = phase < 0.85 ? 0.75 : 0.75 * (1 - (phase - 0.85) / 0.15);
+        const total = p.pts.length / 2;
+        const tip = 1 + (total - 1) * progress; // fractional sample index
+        const whole = Math.floor(tip);
+        const frac = tip - whole;
+
+        const angle = p.spin * TAU * t;
+        const dx = Math.cos(p.driftPhase + p.driftK * TAU * t) * p.driftR;
+        const dy = Math.sin(p.driftPhase + p.driftK * TAU * t) * p.driftR;
+        const wave = p.waveK * TAU * t;
+
+        ctx.save();
+        ctx.translate((p.cx + dx) * s, (p.cy + dy) * s);
+        ctx.rotate(angle);
         ctx.strokeStyle = i % 3 === 0 ? colors[0] : colors[1];
         ctx.globalAlpha = alpha * (i % 3 === 0 ? 1 : 0.55);
         ctx.beginPath();
-        for (let k = 0; k < count; k++) {
-            const x = pts[k * 2], y = pts[k * 2 + 1];
-            const wy = y + Math.sin(x * 7 + wave + i) * 0.008;
-            if (k === 0) ctx.moveTo(x * s, wy * s);
-            else ctx.lineTo(x * s, wy * s);
+        const at = (k) => {
+            const x = p.pts[k * 2] - p.cx, y = p.pts[k * 2 + 1] - p.cy;
+            return [x, y + Math.sin(x * p.waveF + wave) * p.waveA];
+        };
+        for (let k = 0; k <= Math.min(whole, total - 1); k++) {
+            const [x, y] = at(k);
+            if (k === 0) ctx.moveTo(x * s, y * s);
+            else ctx.lineTo(x * s, y * s);
+        }
+        if (whole < total - 1 && frac > 0) {
+            const [ax, ay] = at(whole), [bx, by] = at(whole + 1);
+            ctx.lineTo((ax + (bx - ax) * frac) * s, (ay + (by - ay) * frac) * s);
         }
         ctx.stroke();
+        ctx.restore();
     }
     ctx.restore();
 }