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MillstoneFurrowFlow — an ambient processing-section background modelled on // a dressed millstone pair. Two sickle-furrow patterns are drawn concentric // and share a centre but NOT a furrow count: the bedstone (static, // underneath) is dressed with 13 furrows, the runner (rotating, on top) with // the standard 12. Two near-equal angular frequencies beat against each // other — that |13-12| = 1 mismatch is what produces a single crossing band // that sweeps once around the stone per runner revolution, not 12 crossings // drifting together (which a same-count pair would produce, reading as a // restyled radial pattern rather than a genuine moiré). The bedstone's // sickle curvature is also mirrored relative to the runner's, matching how a // real bedstone is dressed as the runner's counter-pattern so the two // furrow sets genuinely scissor rather than merely overlay. // // A second, independent process rides on top of the furrow field: grain // particles spawn at the stone's eye (centre) and spiral outward, shrinking // as they travel — coarse feed at the centre, fine meal at the rim — then // disperse into a handful of fading dust motes instead of simply vanishing. // A particle's own angle is coupled to 60% of the runner's angular rate, so // its path traces a shallow spiral rather than a straight radius, visually // tying it to the furrow pattern turning beneath it. // // The real runner stone turns at roughly 120 RPM (~2 rev/s); rendered here // at 0.08 rev/s, a deliberate decoupling from the real rate for legibility // (a viewer needs seconds, not a strobe, to track the moiré sweep) — the // real number is documented, not animated 1:1. // --------------------------------------------------------------------------- type Vec3 = [number, number, number]; function parseColor(raw: string): Vec3 | null { const s = raw.trim(); if (s.startsWith("#")) { const hex = s.slice(1); if (hex.length === 3) { const r = parseInt(hex.slice(0, 1) + hex.slice(0, 1), 16); const g = parseInt(hex.slice(1, 2) + hex.slice(1, 2), 16); const b = parseInt(hex.slice(2, 3) + hex.slice(2, 3), 16); return Number.isNaN(r + g + b) ? null : [r, g, b]; } if (hex.length >= 6) { const r = parseInt(hex.slice(0, 2), 16); const g = parseInt(hex.slice(2, 4), 16); const b = parseInt(hex.slice(4, 6), 16); return Number.isNaN(r + g + b) ? null : [r, g, b]; } return null; } const m = s.match(/rgba?\(\s*([\d.]+)[,\s]+([\d.]+)[,\s]+([\d.]+)/); return m ? [Number(m[1]), Number(m[2]), Number(m[3])] : null; } function mulberry32(seed: number) { let a = seed >>> 0; return () => { a = (a + 0x6d2b79f5) >>> 0; let t = a; t = Math.imul(t ^ (t >>> 15), t | 1); t ^= t + Math.imul(t ^ (t >>> 7), t | 61); return ((t ^ (t >>> 14)) >>> 0) / 4294967296; }; } // -- real millwright numbers, documented rate then a deliberately decoupled // rendered rate (round-9 legibility rule: near/above-paint-rate mechanics // must render slow, not 1:1) ------------------------------------------------- const REAL_RUNNER_RPM = 120; // ~2 rev/s on an operating stone mill const RUNNER_REV_PER_SEC = 0.08; // rendered rate, documented as illustrative const RUNNER_ANGULAR_RATE = RUNNER_REV_PER_SEC * Math.PI * 2; // rad/s const RUNNER_FURROW_COUNT = 12; // sickle-dress furrow count, rotating layer const BEDSTONE_FURROW_COUNT = 13; // one more than the runner — the frequency // mismatch that turns two overlaid patterns into a genuine beating moiré const STONE_RADIUS_RATIO = 0.48; // of min(w, h) const EYE_RADIUS_RATIO = 0.04; // of stone radius const SICKLE_SWEEP = (12 * Math.PI) / 180; // angular curvature per furrow const FURROW_ALPHA_CENTER = 0.62; // deepest cut, highest local contrast const FURROW_ALPHA_RIM = 0.24; // shallowest land, above --border's 1.1:1 floor const BEDSTONE_ALPHA_SCALE = 0.72; // static layer sits slightly under the runner const CURVE_STEPS = 20; // polyline samples per furrow curve const SPAWN_INTERVAL_MS = 900; // one grain every 0.9s const BASE_STONE_RADIUS = 240; // reference radius the real numbers were measured against const BASE_TRAVEL_MS = 4500; // ~4.5s eye-to-rim at the reference radius (~14px/s outward) const MIN_TRAVEL_MS = 1500; const MAX_TRAVEL_MS = 9000; const EASE_EXP = 1.15; // accelerating outward travel (centrifugal build-up) const SIZE_EYE_PX = 5; const SIZE_RIM_PX = 1; const ANGULAR_COUPLE = 0.6; // fraction of the runner's angular delta a grain inherits const DUST_FADE_MS = 800; const DUST_SIZE_PX = 0.5; interface Grain { spawnMs: number; spawnAngle: number; spawnRunnerAngle: number; } interface Dust { x: number; y: number; spawnMs: number; } export interface MillstoneFurrowFlowProps { /** extra classes merged onto the rendered root element */ className?: string; } export function MillstoneFurrowFlow({ className = "" }: MillstoneFurrowFlowProps) { const rootRef = useRef(null); const canvasRef = useRef(null); useEffect(() => { const root = rootRef.current; const canvas = canvasRef.current; if (!root || !canvas) return; const ctx = canvas.getContext("2d"); if (!ctx) return; const reduced = window.matchMedia("(prefers-reduced-motion: reduce)").matches; const rand = mulberry32(0x6d1157a3); // -- token-derived ink, re-derived on theme class change, no paint before // the first read ---------------------------------------------------------- let muted: Vec3 = [143, 143, 143]; let fg: Vec3 = [237, 237, 237]; const derive = () => { const cs = getComputedStyle(document.documentElement); muted = parseColor(cs.getPropertyValue("--ns-muted")) ?? muted; fg = parseColor(cs.getPropertyValue("--foreground")) ?? fg; }; derive(); let w = 0; let h = 0; let dpr = 1; let cx = 0; let cy = 0; let stoneR = 0; let eyeR = 0; let travelMs = BASE_TRAVEL_MS; let bedPath: Path2D = new Path2D(); let runnerPath: Path2D = new Path2D(); let gradient: CanvasGradient | null = null; let raf = 0; let visible = true; let grains: Grain[] = []; let dust: Dust[] = []; let nextSpawnMs = 0; // -- a furrow is a quadratic bezier in polar space: radius eases linearly // eye->rim, angle curves through a midpoint offset by half the sickle // sweep before reaching its endpoint. sweepSign flips the curvature so // the bedstone pattern mirrors the runner's, matching a real dress. ----- const buildFurrowPath = (count: number, sweepSign: 1 | -1): Path2D => { const path = new Path2D(); const sweep = SICKLE_SWEEP * sweepSign; for (let f = 0; f < count; f++) { const a0 = (f / count) * Math.PI * 2; const aMid = a0 + sweep * 0.5; const aEnd = a0 + sweep; for (let i = 0; i <= CURVE_STEPS; i++) { const t = i / CURVE_STEPS; const ang = (1 - t) * (1 - t) * a0 + 2 * (1 - t) * t * aMid + t * t * aEnd; const r = eyeR + (stoneR - eyeR) * t; const px = cx + Math.cos(ang) * r; const py = cy + Math.sin(ang) * r; if (i === 0) path.moveTo(px, py); else path.lineTo(px, py); } } return path; }; const buildGradient = (): CanvasGradient => { const g = ctx.createRadialGradient(cx, cy, eyeR, cx, cy, stoneR); g.addColorStop(0, `rgba(${muted[0]},${muted[1]},${muted[2]},${FURROW_ALPHA_CENTER})`); g.addColorStop(1, `rgba(${muted[0]},${muted[1]},${muted[2]},${FURROW_ALPHA_RIM})`); return g; }; const spawnDust = (x: number, y: number, nowMs: number) => { const count = 3 + Math.floor(rand() * 4); // 3..6 for (let i = 0; i < count; i++) { const jitter = 3 + rand() * 3; const jang = rand() * Math.PI * 2; dust.push({ x: x + Math.cos(jang) * jitter, y: y + Math.sin(jang) * jitter, spawnMs: nowMs, }); } }; const drawGrain = (x: number, y: number, sizePx: number, alpha: number) => { ctx.beginPath(); ctx.arc(x, y, Math.max(0.25, sizePx / 2), 0, Math.PI * 2); ctx.fillStyle = `rgba(${fg[0]},${fg[1]},${fg[2]},${alpha.toFixed(3)})`; ctx.fill(); }; const drawFurrows = (runnerAngle: number) => { if (!gradient) return; ctx.lineWidth = 1; ctx.strokeStyle = gradient; ctx.globalAlpha = BEDSTONE_ALPHA_SCALE; ctx.stroke(bedPath); // static bedstone, underneath ctx.globalAlpha = 1; // rotating runner, on top — the 12-vs-13 frequency mismatch against the // static bedstone is what produces the moiré band sweeping the stone ctx.save(); ctx.translate(cx, cy); ctx.rotate(runnerAngle); ctx.translate(-cx, -cy); ctx.stroke(runnerPath); ctx.restore(); }; const render = (nowMs: number, runnerAngle: number) => { ctx.setTransform(dpr, 0, 0, dpr, 0, 0); ctx.clearRect(0, 0, w, h); if (w <= 0 || h <= 0 || stoneR <= 0) return; drawFurrows(runnerAngle); for (const g of grains) { const elapsed = nowMs - g.spawnMs; const progress = Math.min(1, Math.max(0, elapsed / travelMs)); const eased = Math.pow(progress, EASE_EXP); const r = eyeR + (stoneR - eyeR) * eased; const size = SIZE_EYE_PX + (SIZE_RIM_PX - SIZE_EYE_PX) * progress; const angle = g.spawnAngle + ANGULAR_COUPLE * (runnerAngle - g.spawnRunnerAngle); const x = cx + Math.cos(angle) * r; const y = cy + Math.sin(angle) * r; drawGrain(x, y, size, 1); } for (const d of dust) { const age = nowMs - d.spawnMs; const alpha = Math.max(0, 1 - age / DUST_FADE_MS); if (alpha <= 0) continue; drawGrain(d.x, d.y, DUST_SIZE_PX, alpha * 0.9); } }; const step = (nowMs: number) => { // spawn grain feed — if the field was off-screen and paused long // enough that many spawns were missed, fast-forward the schedule // instead of catching up a runaway burst in one frame if (nowMs - nextSpawnMs > SPAWN_INTERVAL_MS * 4) { nextSpawnMs = nowMs - SPAWN_INTERVAL_MS; } while (nowMs >= nextSpawnMs) { grains.push({ spawnMs: nextSpawnMs, spawnAngle: rand() * Math.PI * 2, spawnRunnerAngle: (nextSpawnMs / 1000) * RUNNER_ANGULAR_RATE, }); nextSpawnMs += SPAWN_INTERVAL_MS; } // mature grains -> dust at the rim const kept: Grain[] = []; for (const g of grains) { const elapsed = nowMs - g.spawnMs; if (elapsed >= travelMs) { const runnerAngle = (nowMs / 1000) * RUNNER_ANGULAR_RATE; const angle = g.spawnAngle + ANGULAR_COUPLE * (runnerAngle - g.spawnRunnerAngle); const x = cx + Math.cos(angle) * stoneR; const y = cy + Math.sin(angle) * stoneR; spawnDust(x, y, nowMs); } else { kept.push(g); } } grains = kept; // cull expired dust dust = dust.filter((d) => nowMs - d.spawnMs < DUST_FADE_MS); }; // -- absolute rAF timestamps throughout (never elapsed-since-mount): a // pause/resume via IntersectionObserver never has to rewind or offset a // clock, so grain spawnMs values stay valid and progress never goes // negative across a visibility gap ---------------------------------------- const loop = (nowMs: number) => { if (!visible) { raf = 0; return; } step(nowMs); const runnerAngle = (nowMs / 1000) * RUNNER_ANGULAR_RATE; render(nowMs, runnerAngle); raf = requestAnimationFrame(loop); }; const drawReducedFrame = () => { ctx.setTransform(dpr, 0, 0, dpr, 0, 0); ctx.clearRect(0, 0, w, h); if (w <= 0 || h <= 0 || stoneR <= 0) return; // deliberately chosen NON-t0 most-structured frame: runner offset from // the bedstone (visible cross-hatch, not full alignment), one grain // mid-grind, one dust puff mid-fade — the whole process visible at once const runnerAngle = (18 * Math.PI) / 180; drawFurrows(runnerAngle); const progress = 0.6; const eased = Math.pow(progress, EASE_EXP); const r = eyeR + (stoneR - eyeR) * eased; const size = SIZE_EYE_PX + (SIZE_RIM_PX - SIZE_EYE_PX) * progress; const angle = Math.PI * 0.35; drawGrain(cx + Math.cos(angle) * r, cy + Math.sin(angle) * r, size, 1); const dustAngle = Math.PI * 1.2; drawGrain(cx + Math.cos(dustAngle) * stoneR, cy + Math.sin(dustAngle) * stoneR, DUST_SIZE_PX, 0.45); }; const resize = () => { const rect = root.getBoundingClientRect(); w = rect.width; h = rect.height; dpr = Math.min(1.5, window.devicePixelRatio || 1); canvas.width = Math.max(1, Math.round(w * dpr)); canvas.height = Math.max(1, Math.round(h * dpr)); cx = w / 2; cy = h / 2; stoneR = Math.min(w, h) * STONE_RADIUS_RATIO; eyeR = stoneR * EYE_RADIUS_RATIO; // duration scales with stone radius (not a fixed px/s divisor) so a // card-sized instance still reads a full ~4.5s transit at the 240px // reference radius rather than a formula-derived crawl travelMs = Math.min( MAX_TRAVEL_MS, Math.max(MIN_TRAVEL_MS, BASE_TRAVEL_MS * (stoneR / BASE_STONE_RADIUS || 1)) ); bedPath = buildFurrowPath(BEDSTONE_FURROW_COUNT, -1); runnerPath = buildFurrowPath(RUNNER_FURROW_COUNT, 1); gradient = buildGradient(); if (reduced) { drawReducedFrame(); } else if (raf === 0 && visible) { render(performance.now(), 0); } }; resize(); if (!reduced) { raf = requestAnimationFrame(loop); } const ro = new ResizeObserver(resize); ro.observe(root); const io = new IntersectionObserver((entries) => { visible = entries[0]?.isIntersecting ?? true; if (!reduced && visible && raf === 0) { raf = requestAnimationFrame(loop); } }); io.observe(root); const mo = new MutationObserver(() => { derive(); 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