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--------------------------------------------------------------------------- // RosensweigCrest — a flat pool of ASCII glyphs that erupts into a // hexagonal lattice of spikes wherever the pointer's magnetic field crosses // a critical threshold, exactly the phase change a real ferrofluid shows // under a magnet (the Rosensweig instability). This is a deformable SURFACE, // not particles: one hex lattice of "peak" points covers the field, each // with its own spring-driven height, and every glyph cell renders the // height/slope of whichever peak owns its patch of the surface (a faceted // nearest-peak lookup, not a blurred interpolation — that's what gives the // crests their sharp, faceted read instead of a smooth blob). // // Mechanism, per frame: // 1. Field strength at a lattice point falls off with distance to the // pointer (quadratic falloff over `radius`), then a smoothstep against // `threshold` turns that falloff into a hard phase boundary: nothing // happens below it, a spike snaps toward full height just above it. // 2. An exclusion rectangle (measured from the real DOM children — the // headline/CTA — expanded by a pad and a soft feather) forces the // target back to zero near and under that content, regardless of how // close the pointer gets. The surface physically cannot rise under the // wordmark; that's not a z-index trick, the field target is zero there. // 3. Each lattice point springs toward its target with an intentionally // ASYMMETRIC response: stiff, underdamped when rising (a fast, slightly // overshooting snap — "erupts") and soft, heavily overdamped when // falling (a slow, heavy liquid slump). Same spring, two constants, // chosen by the sign of the error each frame. // 4. The hex lattice is authored directly in PIXEL space (dy = dx * √3/2), // not in glyph-cell-index space — a lattice built by stepping whole // grid cells would come out visually stretched, since a monospace glyph // cell is taller than it is wide. Building positions in px and only // converting to the nearest glyph cell at draw time is what keeps the // hexagons equilateral on screen regardless of font metrics. // // Purely decorative: aria-hidden, pointer-events:none, and the pointer // listener lives on the root container so it can never intercept a click // meant for the real headline/CTA sitting above it in the same box. // --------------------------------------------------------------------------- const RAMP = ["·", "~", "≈", "∧", "▲"]; // flat pool -> crest const HOLLOW_CHAR = "˘"; // moat between spikes, overrides the height bucket const HEIGHT_STOPS = [0.02, 0.24, 0.5, 0.74, 1.01]; // upper bound per RAMP index // pointer influence radius: derived per-instance from container size (see // resize()), not a fixed px value. A fixed 230px reads fine in isolation but // composed with the quadratic falloff + 0.5 smoothstep edge below, the // onset ring only ever reaches d <= radius*(1-sqrt(THRESHOLD)) =~ 0.29*radius // — a 230px constant was producing a ~67px onset radius (134px eruption) // inside a full-bleed hero, unmistakably too small to read as "loud". const FIELD_RADIUS_FACTOR = 1.02; // multiplier of min(width, height) const FIELD_RADIUS_MIN = 260; // px floor, so scaled-down catalog cards still erupt visibly const FIELD_RADIUS_MAX = 1100; // px ceiling, so huge heroes don't erupt everywhere at once const THRESHOLD = 0.5; // fraction of field strength where the phase flips const THRESHOLD_SOFTNESS = 0.14; const K_UP = 260; // stiff spring, rising const C_UP = 15; // low damping -> a small, deliberate overshoot on the snap const K_DOWN = 26; // soft spring, falling const C_DOWN = 42; // heavy overdamping -> viscous slump, not a bounce const CURSOR_EASE = 0.22; // eases the tracked pointer itself (adds to the lag) const LATTICE_FACTOR = 2.6; // lattice spacing = glyph cell size * this, in px const EXCLUSION_PAD = 22; // px, expands the measured content rect const EXCLUSION_FEATHER = 78; // px, soft falloff back to full field strength const HOLLOW_DELTA = 0.22; // neighbor-max minus own height, to read as a moat const HOLLOW_MAX_H = 0.55; // moats only register below this height const DT_MAX = 0.035; const SLEEP_EPS = 0.004; // aggregate energy below this + no active pointer -> sleep const TOUCH_PERIOD_MS = 15000; // slow autonomous magnet lap on touch devices function clamp(x: number, lo: number, hi: number) { return x < lo ? lo : x > hi ? hi : x; } function smoothstep(edge0: number, edge1: number, x: number) { const t = clamp((x - edge0) / Math.max(1e-6, edge1 - edge0), 0, 1); return t * t * (3 - 2 * t); } function heightBucket(h: number) { for (let i = 0; i < HEIGHT_STOPS.length; i++) if (h <= HEIGHT_STOPS[i]) return i; return HEIGHT_STOPS.length - 1; } export interface RosensweigCrestProps { /** grid cell size in px, also sets lattice spacing (cell size * 2.6) */ cellSize?: number; /** headline / CTA rendered over the field; the field excludes this rect */ children?: ReactNode; className?: string; } export function RosensweigCrest({ cellSize = 13, children, className = "", }: RosensweigCrestProps) { const rootRef = useRef(null); const canvasRef = useRef(null); const exclRef = 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 isTouch = window.matchMedia("(pointer: coarse)").matches; let fg = "currentColor"; let muted = "currentColor"; let cellW = cellSize; let cellH = cellSize; let cols = 0; let rows = 0; let width = 0; let height = 0; let sized = false; let disposed = false; // hex lattice, authored in px so it stays equilateral regardless of the // glyph cell's aspect ratio (see file header, point 4) const dx = () => Math.max(6, cellW * LATTICE_FACTOR); const dy = () => dx() * 0.8660254; let latCols = 0; let latRows = 0; let originX = 0; let originY = 0; let latH = new Float32Array(0); let latV = new Float32Array(0); let fieldRadius = FIELD_RADIUS_MIN; let exclX0 = 0; let exclY0 = 0; let exclX1 = -1; // x1 < x0 means "no exclusion rect" let exclY1 = -1; const readTokens = () => { fg = getComputedStyle(canvas).color; const cs = getComputedStyle(document.documentElement); muted = cs.getPropertyValue("--ns-muted").trim() || fg; }; const measureCell = (fontFamily: string) => { const off = document.createElement("canvas"); const octx = off.getContext("2d"); if (!octx) return; octx.font = `${cellSize}px ${fontFamily}`; cellW = Math.max(4, octx.measureText("MMMMMMMMMM").width / 10); cellH = cellSize; }; const latIndex = (r: number, c: number) => r * latCols + c; const measureExclusion = () => { const el = exclRef.current; const rootEl = rootRef.current; if (!el || !rootEl) { exclX1 = -1; return; } const rb = rootEl.getBoundingClientRect(); const eb = el.getBoundingClientRect(); if (eb.width < 1 || eb.height < 1) { exclX1 = -1; return; } exclX0 = eb.left - rb.left - EXCLUSION_PAD; exclY0 = eb.top - rb.top - EXCLUSION_PAD; exclX1 = eb.right - rb.left + EXCLUSION_PAD; exclY1 = eb.bottom - rb.top + EXCLUSION_PAD; }; // 0 inside/near the excluded content, ramping to 1 by EXCLUSION_FEATHER // px outside it — this is what stops the surface from ever rising under // the headline, independent of where the pointer (or the touch // autopath) happens to sit. const exclusionFactor = (x: number, y: number) => { if (exclX1 < exclX0) return 1; const ox = Math.max(exclX0 - x, 0, x - exclX1); const oy = Math.max(exclY0 - y, 0, y - exclY1); const d = Math.hypot(ox, oy); return smoothstep(0, EXCLUSION_FEATHER, d); }; const resize = () => { const rect = root.getBoundingClientRect(); const w = Math.round(rect.width); const h = Math.round(rect.height); if (w < 2 || h < 2) { sized = false; return; } width = w; height = h; fieldRadius = clamp( Math.min(w, h) * FIELD_RADIUS_FACTOR, FIELD_RADIUS_MIN, FIELD_RADIUS_MAX ); const dpr = Math.min(window.devicePixelRatio || 1, 2); canvas.width = Math.max(1, Math.round(w * dpr)); canvas.height = Math.max(1, Math.round(h * dpr)); ctx.setTransform(dpr, 0, 0, dpr, 0, 0); const fontFamily = getComputedStyle(canvas).fontFamily; measureCell(fontFamily); ctx.font = `${cellSize}px ${fontFamily}`; ctx.textAlign = "center"; ctx.textBaseline = "middle"; cols = Math.max(8, Math.ceil(w / cellW)); rows = Math.max(6, Math.ceil(h / cellH)); const spacingX = dx(); const spacingY = dy(); originX = -2 * spacingX; originY = -2 * spacingY; latCols = Math.max(2, Math.ceil(w / spacingX) + 4); latRows = Math.max(2, Math.ceil(h / spacingY) + 4); latH = new Float32Array(latCols * latRows); latV = new Float32Array(latCols * latRows); measureExclusion(); sized = true; }; // finds the lattice point nearest (x,y) among the up-to-9 hex candidates // checked, plus the tallest height in that same neighborhood — the pair // is enough to decide "flat/rising/crest" vs "hollow moat next to a // taller spike" without keeping a precomputed adjacency list. maxH // deliberately includes the nearest point itself: when the nearest IS // the local tallest, maxH - bestH is 0 and the moat check never fires. const nearest = (x: number, y: number) => { const spacingX = dx(); const spacingY = dy(); const approxRow = Math.round((y - originY) / spacingY); let bestD = Infinity; let bestH = 0; let maxH = 0; for (let dr = -1; dr <= 1; dr++) { const r = approxRow + dr; if (r < 0 || r >= latRows) continue; const rowOffset = r % 2 !== 0 ? spacingX / 2 : 0; const approxCol = Math.round((x - originX - rowOffset) / spacingX); for (let dc = -1; dc <= 1; dc++) { const c = approxCol + dc; if (c < 0 || c >= latCols) continue; const px = originX + c * spacingX + rowOffset; const py = originY + r * spacingY; const ddx = px - x; const ddy = py - y; const d2 = ddx * ddx + ddy * ddy; const h = latH[latIndex(r, c)]; if (h > maxH) maxH = h; if (d2 < bestD) { bestD = d2; bestH = h; } } } return { h: bestH, neighborMax: maxH }; }; const drawFrame = () => { if (!sized) return; const w = cols * cellW; const h = rows * cellH; ctx.clearRect(0, 0, w, h); for (let r = 0; r < rows; r++) { const cy = r * cellH + cellH / 2; for (let c = 0; c < cols; c++) { const cx = c * cellW + cellW / 2; const { h: peakH, neighborMax } = nearest(cx, cy); const isHollow = peakH < HOLLOW_MAX_H && neighborMax - peakH > HOLLOW_DELTA; if (isHollow) { ctx.globalAlpha = 0.55; ctx.fillStyle = muted; ctx.fillText(HOLLOW_CHAR, cx, cy); continue; } const bucket = heightBucket(peakH); if (bucket === 0) { ctx.globalAlpha = 0.32; ctx.fillStyle = muted; } else if (bucket === 1) { ctx.globalAlpha = 0.6; ctx.fillStyle = muted; } else { ctx.globalAlpha = 0.55 + 0.45 * (bucket / (RAMP.length - 1)); ctx.fillStyle = fg; } ctx.fillText(RAMP[bucket], cx, cy); } } ctx.globalAlpha = 1; }; // -- hot-path state: locals only, never React state --------------------- let raf = 0; let last = 0; let t = 0; let pointerActive = false; const cursor = { tx: 0, ty: 0, x: 0, y: 0 }; const updatePhysics = (dt: number) => { let energy = 0; for (let r = 0; r < latRows; r++) { const rowOffset = r % 2 !== 0 ? dx() / 2 : 0; const py = originY + r * dy(); for (let c = 0; c < latCols; c++) { const px = originX + c * dx() + rowOffset; const idx = latIndex(r, c); let target = 0; if (pointerActive) { const ddx = cursor.x - px; const ddy = cursor.y - py; const d = Math.hypot(ddx, ddy); let field = clamp(1 - d / fieldRadius, 0, 1); field = field * field; // quadratic falloff field = smoothstep(THRESHOLD, THRESHOLD + THRESHOLD_SOFTNESS, field); target = field * exclusionFactor(px, py); } const hNow = latH[idx]; const vNow = latV[idx]; const err = target - hNow; const k = err >= 0 ? K_UP : K_DOWN; const damp = err >= 0 ? C_UP : C_DOWN; const a = k * err - damp * vNow; const v = vNow + a * dt; const hNext = clamp(hNow + v * dt, 0, 1.12); latH[idx] = hNext; latV[idx] = v; energy += Math.abs(v) + hNext; } } return energy; }; const loop = (now: number) => { const dt = last ? Math.min(DT_MAX, (now - last) / 1000) : 1 / 60; last = now; t += dt; if (isTouch) { // slow autonomous magnet path — the exclusion rect still guards the // headline even though nothing here checks its position const omega = (2 * Math.PI) / (TOUCH_PERIOD_MS / 1000); cursor.tx = width / 2 + Math.cos(t * omega) * width * 0.33; cursor.ty = height / 2 + Math.sin(t * omega * 1.3) * height * 0.3; pointerActive = true; } cursor.x += (cursor.tx - cursor.x) * CURSOR_EASE; cursor.y += (cursor.ty - cursor.y) * CURSOR_EASE; const energy = updatePhysics(dt); drawFrame(); const settled = energy < SLEEP_EPS * Math.max(1, latCols * latRows * 0.02); raf = !document.hidden && (pointerActive || !settled) ? requestAnimationFrame(loop) : 0; }; const wake = () => { if (!raf && !document.hidden) { last = 0; raf = requestAnimationFrame(loop); } }; const onMove = (e: PointerEvent) => { if (e.pointerType === "touch") return; // touch gets the autonomous path const rect = root.getBoundingClientRect(); cursor.tx = e.clientX - rect.left; cursor.ty = e.clientY - rect.top; pointerActive = true; wake(); }; const onLeave = (e: PointerEvent) => { if (e.pointerType === "touch") return; pointerActive = false; wake(); }; let ro: ResizeObserver | undefined; let exclRo: ResizeObserver | undefined; let resizeTimer: ReturnType | null = null; const onResize = () => { if (resizeTimer) clearTimeout(resizeTimer); resizeTimer = setTimeout(() => { resizeTimer = null; resize(); if (reduced) drawStaticErupted(); else drawFrame(); }, 150); }; // reduced-motion: one static frame of the FORMED lattice, not the flat // rest state — a virtual magnet is placed once and heights are set // directly to their equilibrium target, no spring, no loop. const drawStaticErupted = () => { if (!sized) return; const vx = width * 0.62; const vy = height * 0.38; for (let r = 0; r < latRows; r++) { const rowOffset = r % 2 !== 0 ? dx() / 2 : 0; const py = originY + r * dy(); for (let c = 0; c < latCols; c++) { const px = originX + c * dx() + rowOffset; const idx = latIndex(r, c); const d = Math.hypot(vx - px, vy - py); let field = clamp(1 - d / fieldRadius, 0, 1); field = field * field; field = smoothstep(THRESHOLD, THRESHOLD + THRESHOLD_SOFTNESS, field); latH[idx] = field * exclusionFactor(px, py); latV[idx] = 0; } } drawFrame(); }; readTokens(); const mo = new MutationObserver(() => { readTokens(); // a theme flip while asleep (rest, no pointer) would otherwise leave // stale-colored glyphs on screen until the next pointer wake — force // one repaint with the freshly-read tokens regardless of loop state. if (reduced) drawStaticErupted(); else if (raf) wake(); else drawFrame(); }); mo.observe(document.documentElement, { attributes: true, attributeFilter: ["class"], }); document.fonts.ready.then(() => { if (disposed) return; resize(); if (reduced) { drawStaticErupted(); } else if (isTouch) { pointerActive = true; raf = requestAnimationFrame(loop); } else { drawFrame(); // flat pool, mirror-still, until the pointer arrives } ro = new ResizeObserver(() => { onResize(); }); ro.observe(root); if (exclRef.current) { exclRo = new ResizeObserver(() => { measureExclusion(); }); exclRo.observe(exclRef.current); } }); if (!reduced && !isTouch) { root.addEventListener("pointermove", onMove); root.addEventListener("pointerleave", onLeave); } const onVis = () => { if (!document.hidden) wake(); }; document.addEventListener("visibilitychange", onVis); return () => { disposed = true; cancelAnimationFrame(raf); if (resizeTimer) clearTimeout(resizeTimer); ro?.disconnect(); exclRo?.disconnect(); mo.disconnect(); root.removeEventListener("pointermove", onMove); root.removeEventListener("pointerleave", onLeave); document.removeEventListener("visibilitychange", onVis); }; }, [cellSize]); return (

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