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Real engagement was well under a second and real headway // between exchanges was minutes to hours — both are DECOUPLED here for // legibility, not animated 1:1 (see round 9's meter-matrix-scan lesson): // the exchange gesture is stretched to a scripted ~900ms sequence and the // wait between exchanges is compressed to a fixed 7.0s cadence so the wait // itself reads as anticipation rather than as a broken/idle component. // // ONE GOVERNING CLOCK. Everything derives from a single elapsed-seconds // scalar `t`. Train position, arm gesture phase, and completed-exchange // count are all pure functions of `t % CYCLE` (or, for the exchange count, // how many CONTACT instants have passed) — there is no separate per-element // timer to drift out of sync. // // ALIVE AT REST, between exchanges: the crane arm is a damped pendulum that // never fully stops — each exchange's kick leaves it swinging at PEAK_DEG, // decaying (tau ~0.9s) toward a PENDULUM_FLOOR_DEG resting tremor it never // drops below, at PENDULUM_PERIOD (1.6s). Independently, a signal lamp on // the crane post blinks at 0.5Hz (2s period) continuously, on its own // clock — with CYCLE=7s and LAMP_PERIOD=2s the two motions' phase pairing // at any given t0 only repeats every lcm(7,2)=14s, so back-to-back 5s // screenshots essentially never look identical. Rail ties scroll left at a // constant rate at all times, whether or not a train is on screen. // // THE EXCHANGE. CONTACT_T (derived below from the crane's x-fraction, the // train's length fraction, and the crossing span/duration, not hardcoded) // is the instant the train's marked engagement point reaches the crane. // The gesture around it: 280ms swing-out (rest angle -> extended angle, // ease-in-out), 120ms hold (hook engaged — this is the freeze-frame // moment), 500ms swing-back (extended -> rest, ease-in-out). At the hold's // midpoint the held-bag pattern flips (a fixed alternation, not per-frame // randomness) and a small kicked-bag glyph streaks from the engagement // point down into the trackside net, fading over the swing-back window — // the visible "something left, something arrived" beat. // --------------------------------------------------------------------------- const CYCLE = 7.0; // seconds between exchanges — fixed cadence, not jitter const CROSS_DURATION = 2.6; // seconds the train spends fully sweeping the frame const ENTER_FRAC = -0.2; // train's leading edge starts here (fraction of width) const SPAN_FRAC = 1.4; // total leading-edge travel across the crossing (fraction of width) const CRANE_X_FRAC = 0.62; // crane position, fraction of width const TRAIN_LEN_FRAC = 0.26; // train body length, fraction of width const ENGAGE_OFFSET_FRAC = 0.4; // engagement marker's offset back from the train's leading edge, as a fraction of train length // the instant the train's engagement marker aligns with the crane, derived // (not guessed) from the geometry constants above so gesture timing and // visual alignment can never drift apart. const CONTACT_T = (CROSS_DURATION * (CRANE_X_FRAC + TRAIN_LEN_FRAC * ENGAGE_OFFSET_FRAC - ENTER_FRAC)) / SPAN_FRAC; const SWING_OUT = 0.28; const HOLD = 0.12; const SWING_BACK = 0.5; const GESTURE_START = CONTACT_T - SWING_OUT; const GESTURE_END = GESTURE_START + SWING_OUT + HOLD + SWING_BACK; const REST_DEG = 0; // arm hangs straight down at rest const EXTENDED_DEG = 34; // arm swung out toward the oncoming train const PENDULUM_PERIOD = 1.6; // seconds, matches the spec's idle-sway rate const PENDULUM_OMEGA = (2 * Math.PI) / PENDULUM_PERIOD; const PENDULUM_FLOOR_DEG = 2; // resting tremor amplitude, never fully still const PENDULUM_PEAK_DEG = 18; // amplitude right after a kick const PENDULUM_TAU = 0.9; // decay time constant, seconds const LAMP_PERIOD = 2.0; // seconds, independent clock from CYCLE const TIE_SPEED = 40; // px/s, constant regardless of train visibility // the freeze frame prefers-reduced-motion lands on: mid-HOLD, arm fully // extended, hook engaged, train mid-crossing — the single most structured // instant the loop produces (crane, train, and both bags legible at once). const CONTACT_FRAME = GESTURE_START + SWING_OUT + HOLD / 2; function easeInOut(x: number): number { const c = x < 0 ? 0 : x > 1 ? 1 : x; return c * c * (3 - 2 * c); } /** Arm angle in degrees at gesture-relative time `g` (seconds since GESTURE_START, may be negative). */ function gestureAngle(g: number): number { if (g < 0 || g > SWING_OUT + HOLD + SWING_BACK) return REST_DEG; if (g < SWING_OUT) return REST_DEG + (EXTENDED_DEG - REST_DEG) * easeInOut(g / SWING_OUT); if (g < SWING_OUT + HOLD) return EXTENDED_DEG; const back = g - SWING_OUT - HOLD; return EXTENDED_DEG + (REST_DEG - EXTENDED_DEG) * easeInOut(back / SWING_BACK); } /** Idle pendulum tremor (degrees) added on top of the gesture angle, given seconds since the last gesture ended. */ function pendulumTremor(sincePass: number): number { const s = Math.max(0, sincePass); const amp = PENDULUM_FLOOR_DEG + (PENDULUM_PEAK_DEG - PENDULUM_FLOOR_DEG) * Math.exp(-s / PENDULUM_TAU); return amp * Math.sin(PENDULUM_OMEGA * s); } export interface MailbagHookExchangeProps { /** headline / CTA rendered above the field */ children?: ReactNode; /** extra classes merged onto the rendered root element */ className?: string; /** inline styles merged onto the root element */ style?: React.CSSProperties; } export function MailbagHookExchange({ children, className = "", style }: MailbagHookExchangeProps) { 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; // token fields start empty; draw() below refuses to paint until // readTokens() has run at least once — closes rAF, resize, and the // reduced-motion branch as paint-before-read paths. let fgColor = ""; let mutedColor = ""; let bgColor = ""; const readTokens = () => { const cs = getComputedStyle(document.documentElement); fgColor = cs.getPropertyValue("--foreground").trim(); mutedColor = cs.getPropertyValue("--ns-muted").trim(); bgColor = cs.getPropertyValue("--background").trim(); }; let w = 0; let h = 0; let sized = false; let visible = true; let raf = 0; let t = reduced ? CONTACT_FRAME : 0; let last = 0; const resize = () => { const rect = root.getBoundingClientRect(); if (rect.width < 2 || rect.height < 2) { sized = false; return; } const isCard = !!canvas.closest("[data-autoplay-root]"); const dpr = isCard ? Math.min(0.6, window.devicePixelRatio || 1) : Math.min(window.devicePixelRatio || 1, 1.5); w = rect.width; h = rect.height; canvas.width = Math.max(1, Math.round(w * dpr)); canvas.height = Math.max(1, Math.round(h * dpr)); ctx.setTransform(dpr, 0, 0, dpr, 0, 0); sized = true; }; const draw = () => { if (!sized || !fgColor) return; ctx.clearRect(0, 0, w, h); const trackY = h * 0.74; const craneX = w * CRANE_X_FRAC; const craneBaseY = trackY; const craneHeight = Math.min(w, h) * 0.22; const craneTopY = craneBaseY - craneHeight; const armLength = Math.min(w, h) * 0.13; const bagSize = Math.min(w, h) * 0.045; const trainLength = w * TRAIN_LEN_FRAC; const trainHeight = Math.min(w, h) * 0.09; const tieSpacing = Math.max(10, Math.min(w, h) * 0.05); // --- rail + scrolling ties (structure, low emphasis, drawn always) --- ctx.strokeStyle = mutedColor; ctx.lineWidth = 1; ctx.beginPath(); ctx.moveTo(0, trackY); ctx.lineTo(w, trackY); ctx.stroke(); const tieOffset = (t * TIE_SPEED) % tieSpacing; ctx.lineWidth = 2; for (let x = -tieOffset; x < w + tieSpacing; x += tieSpacing) { ctx.beginPath(); ctx.moveTo(x, trackY - 3); ctx.lineTo(x, trackY + 6); ctx.stroke(); } // --- crane post + net (structure) --- ctx.strokeStyle = mutedColor; ctx.lineWidth = 2; ctx.beginPath(); ctx.moveTo(craneX, craneBaseY); ctx.lineTo(craneX, craneTopY); ctx.stroke(); const netY = craneBaseY - craneHeight * 0.12; const netX = craneX - armLength * 0.55; ctx.beginPath(); ctx.arc(netX, netY, bagSize * 0.9, Math.PI * 0.15, Math.PI * 0.85); ctx.stroke(); // --- signal lamp (independent 0.5Hz clock, luminance only) --- const lampOn = Math.floor(t / (LAMP_PERIOD / 2)) % 2 === 0; ctx.fillStyle = lampOn ? fgColor : mutedColor; ctx.beginPath(); ctx.arc(craneX, craneTopY - bagSize * 0.6, bagSize * 0.35, 0, Math.PI * 2); ctx.fill(); // --- arm + hook + held bag (subject, brighter emphasis) --- const g = t - GESTURE_START - Math.floor((t - GESTURE_START) / CYCLE) * CYCLE; // g is "seconds since this cycle's GESTURE_START", wrapped into [0, CYCLE) const inGesture = g >= 0 && g <= SWING_OUT + HOLD + SWING_BACK; const armDeg = inGesture ? gestureAngle(g) : REST_DEG; const sincePass = inGesture ? 0 : g > SWING_OUT + HOLD + SWING_BACK ? g - (SWING_OUT + HOLD + SWING_BACK) : g + CYCLE - (SWING_OUT + HOLD + SWING_BACK); const tremor = inGesture ? 0 : pendulumTremor(sincePass); const angleRad = ((armDeg + tremor) * Math.PI) / 180; // arm pivots at the crane top; hooked bag hangs `armLength` from the // pivot at angle `angleRad` from straight-down (angle 0 = REST_DEG) const hookX = craneX + Math.sin(angleRad) * armLength; const hookY = craneTopY + Math.cos(angleRad) * armLength; ctx.strokeStyle = fgColor; ctx.lineWidth = 2; ctx.beginPath(); ctx.moveTo(craneX, craneTopY); ctx.lineTo(hookX, hookY); ctx.stroke(); // completed-exchange count -> which bag pattern is currently held const completed = t >= CONTACT_T ? Math.floor((t - CONTACT_T) / CYCLE) + 1 : 0; const variant = completed % 2; ctx.fillStyle = fgColor; ctx.beginPath(); ctx.roundRect(hookX - bagSize / 2, hookY, bagSize, bagSize * 1.15, bagSize * 0.2); ctx.fill(); if (variant === 1) { // alternate fill pattern: a couple of thin horizontal bands, drawn // in the background color so it reads as a different sack, never a // hue change ctx.strokeStyle = bgColor; ctx.lineWidth = 1; for (let i = 1; i <= 2; i++) { const by = hookY + (bagSize * 1.15 * i) / 3; ctx.beginPath(); ctx.moveTo(hookX - bagSize / 2 + 1, by); ctx.lineTo(hookX + bagSize / 2 - 1, by); ctx.stroke(); } } // --- kicked bag streak toward the net, only during hold + swing-back --- if (inGesture && g >= SWING_OUT) { const kickG = g - SWING_OUT; // 0 at hold start, through HOLD+SWING_BACK const kickDur = HOLD + SWING_BACK; const kp = easeInOut(kickG / kickDur); const kx = hookX + (netX - hookX) * kp; const ky = hookY + (netY - hookY) * kp; ctx.globalAlpha = 1 - kp * 0.85; ctx.fillStyle = fgColor; ctx.beginPath(); ctx.roundRect(kx - bagSize / 2.6, ky - bagSize * 0.5, bagSize * 0.77, bagSize * 0.9, bagSize * 0.15); ctx.fill(); ctx.globalAlpha = 1; } // --- train silhouette, visible only within its crossing window --- const phase = t - Math.floor(t / CYCLE) * CYCLE; if (phase < CROSS_DURATION) { const progress = phase / CROSS_DURATION; const frontX = w * ENTER_FRAC + progress * w * SPAN_FRAC; const rearX = frontX - trainLength; const topY = trackY - trainHeight; ctx.fillStyle = fgColor; ctx.beginPath(); ctx.moveTo(rearX, trackY); ctx.lineTo(rearX, topY); ctx.lineTo(frontX - trainLength * 0.12, topY); ctx.lineTo(frontX, trackY - trainHeight * 0.35); ctx.lineTo(frontX, trackY); ctx.closePath(); ctx.fill(); } }; const loop = (now: number) => { const dt = last ? Math.min(0.05, (now - last) / 1000) : 1 / 60; last = now; t += dt; draw(); if (visible && !document.hidden) raf = requestAnimationFrame(loop); }; let resizeTimer: ReturnType | null = null; const ro = new ResizeObserver(() => { if (resizeTimer) clearTimeout(resizeTimer); resizeTimer = setTimeout(() => { resizeTimer = null; resize(); if (reduced) draw(); }, 120); }); ro.observe(root); const io = new IntersectionObserver( (entries) => { visible = entries[0]?.isIntersecting ?? true; if (visible && !reduced && !raf) { last = 0; raf = requestAnimationFrame(loop); } }, { threshold: 0 } ); io.observe(root); const onVis = () => { if (!document.hidden && visible && !reduced && !raf) { last = 0; raf = requestAnimationFrame(loop); } }; document.addEventListener("visibilitychange", onVis); const mo = new MutationObserver(() => { readTokens(); if (reduced || !raf) draw(); }); mo.observe(document.documentElement, { attributes: true, attributeFilter: ["class"] }); readTokens(); resize(); if (reduced) { draw(); } else { raf = requestAnimationFrame(loop); } return () => { cancelAnimationFrame(raf); if (resizeTimer) clearTimeout(resizeTimer); ro.disconnect(); io.disconnect(); mo.disconnect(); document.removeEventListener("visibilitychange", onVis); }; }, []); return (

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