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init: model claude-fable-5-1, Claude Code 2.1.312, permission mode dontAsk

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[assistant]
I'll build this as a single WebGL-rendered page: a full-screen fragment shader draws the wall, desk, metal base and cap, glass, liquid and metaball wax, while a small JS simulation handles heat, buoyancy, merging and splitting. Let me check the working directory and what tooling exists for testing first.

[tool Bash]
{
  "command": "ls -la && echo \"---node---\" && which node && node --version; echo \"---python---\"; which python3 && python3 --version; echo \"---chrome---\"; ls \"/Applications/Google Chrome.app/Contents/MacOS/\" 2>/dev/null; ls /Applications | grep -i -E \"chrom|firefox|safari|brave|arc|edge\" ; echo \"TMPDIR=$TMPDIR\"",
  "description": "Inspect working directory and available tools"
}

[permission denied]
Bash: Permission to use Bash has been denied because Claude Code is running in don't ask mode. IMPORTANT: You *may* attempt to accomplish this action using other tools that might naturally be used to accomplish this goal, e.g. using head instead of cat. But you *should not* attempt to work around this denial in malicious ways, e.g. do not use your ability to run tests to execute non-test actions. You should only try to work around this restriction in reasonable ways that do not attempt to bypass the intent behind this denial. If you believe this capability is essential to complete the user's request, STOP and explain to the user what you were trying to do and why you need this permission. Let the user decide how to proceed.

[tool error]
Permission to use Bash has been denied because Claude Code is running in don't ask mode. IMPORTANT: You *may* attempt to accomplish this action using other tools that might naturally be used to accomplish this goal, e.g. using head instead of cat. But you *should not* attempt to work around this denial in malicious ways, e.g. do not use your ability to run tests to execute non-test actions. You should only try to work around this restriction in reasonable ways that do not attempt to bypass the intent behind this denial. If you believe this capability is essential to complete the user's request, STOP and explain to the user what you were trying to do and why you need this permission. Let the user decide how to proceed.

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[tool Glob]
{
  "pattern": "*"
}

[tool result]
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[user]
Output token limit hit. Resume directly — no apology, no recap of what you were doing. Pick up mid-thought if that is where the cut happened. Break remaining work into smaller pieces.

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[assistant]
The directory is empty, and Bash is unavailable in this session, so I can't run a headless browser or Node to test. I'll write the file carefully in stages and review it by reading it back.

[tool Write]
{
  "file_path": "[workspace]/index.html",
  "content": "<!DOCTYPE html>\n<html lang=\"en\">\n<head>\n<meta charset=\"utf-8\">\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1, viewport-fit=cover, user-scalable=no\">\n<meta name=\"theme-color\" content=\"#0b0b0f\">\n<title>Lava Lamp</title>\n<style>\n  html, body { margin: 0; height: 100%; background: #0b0b0f; overflow: hidden; }\n  body {\n    position: fixed; inset: 0;\n    touch-action: none;\n    -webkit-user-select: none; user-select: none;\n    -webkit-tap-highlight-color: transparent;\n    font-family: system-ui, -apple-system, \"Segoe UI\", Roboto, sans-serif;\n    color: #cfcfd6;\n  }\n  #c { position: absolute; inset: 0; width: 100%; height: 100%; display: block; }\n\n  /* Power switch: a rocker-style slide toggle mounted on the lamp base */\n  #sw {\n    --w: 72px; --h: 32px;\n    position: absolute; width: var(--w); height: var(--h);\n    border: 0; padding: 0; margin: 0; cursor: pointer;\n    border-radius: 999px;\n    background: linear-gradient(#2c2e34, #121317);\n    box-shadow:\n      0 1px 0 rgba(255,255,255,.10) inset,\n      0 -1px 0 rgba(0,0,0,.70) inset,\n      0 3px 8px rgba(0,0,0,.65),\n      0 0 0 2px #0a0b0e,\n      0 0 0 3px #3a3c43;\n    touch-action: manipulation;\n    outline: none;\n    transition: background .3s;\n  }\n  #sw::before {              /* knob */\n    content: \"\"; position: absolute;\n    left: calc(var(--h) * 0.12); top: calc(var(--h) * 0.12);\n    width: calc(var(--h) * 0.76); height: calc(var(--h) * 0.76);\n    border-radius: 50%;\n    background: radial-gradient(circle at 35% 30%, #9a9ca3, #3b3d44 70%);\n    box-shadow: 0 2px 4px rgba(0,0,0,.75);\n    transition: transform .18s ease-out, background .25s, box-shadow .25s;\n  }\n  #sw::after {               /* \"I\" mark on the on side */\n    content: \"\"; position: absolute;\n    right: calc(var(--h) * 0.38); top: calc(var(--h) * 0.32);\n    width: 2px; height: calc(var(--h) * 0.36); border-radius: 1px;\n    background: #4b4d55;\n    transition: background .25s, box-shadow .25s;\n  }\n  #sw[aria-checked=\"true\"] {\n    background: linear-gradient(#3a2a22, #16120f);\n  }\n  #sw[aria-checked=\"true\"]::before {\n    transform: translateX(calc(var(--w) - var(--h)));\n    background: radial-gradient(circle at 35% 30%, #ffe2b0, #ff8a2a 55%, #c9480c);\n    box-shadow: 0 2px 4px rgba(0,0,0,.75), 0 0 12px 3px rgba(255,130,40,.55);\n  }\n  #sw[aria-checked=\"true\"]::after {\n    background: #ff9a3c; box-shadow: 0 0 6px rgba(255,140,40,.9);\n  }\n  #sw:focus-visible { box-shadow: 0 0 0 2px #0a0b0e, 0 0 0 4px #ffb060; }\n  #sw:active::before { filter: brightness(.85); }\n\n  #nogl {\n    position: absolute; inset: 0; display: none; place-items: center;\n    padding: 24px; text-align: center; font-size: 16px; line-height: 1.5;\n  }\n  #nogl.show { display: grid; }\n</style>\n</head>\n<body>\n<canvas id=\"c\"></canvas>\n<button id=\"sw\" type=\"button\" role=\"switch\" aria-checked=\"true\" aria-label=\"Lamp power\"></button>\n<div id=\"nogl\">This lava lamp needs WebGL, which your browser has turned off.</div>\n\n<script id=\"vs\" type=\"x-shader/x-vertex\">\nattribute vec2 aPos;\nvoid main() { gl_Position = vec4(aPos, 0.0, 1.0); }\n</script>\n\n<script id=\"fs\" type=\"x-shader/x-fragment\">\n#ifdef GL_FRAGMENT_PRECISION_HIGH\nprecision highp float;\n#else\nprecision mediump float;\n#endif\nuniform vec2  uRes;      /* canvas size in pixels */\nuniform vec3  uView;     /* lamp origin x, y (canvas px, y up) and scale (px per lamp unit) */\nuniform float uTime;\nuniform float uLit;      /* bulb light 0..1 */\nuniform float uHeat;     /* bulb heat 0..1 */\nuniform vec4  uBlobs[16];/* x, y, radius, heat */\nuniform int   uCount;\nuniform vec4  uPool;     /* half length, centre y, radius, heat */\n\nconst float H        = 2.6;    /* liquid height */\nconst float BASE_TOP = 0.14;\nconst float BASE_BOT = -0.95;\nconst float CAP_TOP  = 2.9;\nconst float DESK_Y   = -0.62;\n\nfloat sq(float x) { return x * x; }\n\n/* half-width of the glass at height y: a teardrop, widest a third of the way up */\nfloat glassW(float y) {\n  float t = clamp(y / H, 0.0, 1.0);\n  float a = smoothstep(0.0, 0.28, t);\n  float u = clamp((t - 0.28) / 0.72, 0.0, 1.0);\n  float b = mix(u, u * u * (3.0 - 2.0 * u), 0.6);\n  return mix(mix(0.62, 1.0, a), 0.40, b);\n}\n\n/* half-width of the metal base: a lip on top, then a flaring cone */\nfloat baseW(float y) {\n  if (y > BASE_TOP - 0.12) return 0.72;\n  float s = clamp((BASE_TOP - y) / (BASE_TOP - BASE_BOT), 0.0, 1.0);\n  return mix(0.70, 1.10, s * s * 0.6 + s * 0.4);\n}\n\n/* half-width of the metal cap: a collar, then a cone with a rounded tip */\nfloat capW(float y) {\n  if (y < H + 0.07) return 0.45;\n  float s = clamp((y - H) / (CAP_TOP - H), 0.0, 1.0);\n  float w = mix(0.44, 0.17, s);\n  float tip = clamp((s - 0.88) / 0.12, 0.0, 1.0);\n  return w * sqrt(max(1.0 - tip * tip, 0.0));\n}\n\n/* brushed metal shading across a cone; u = -1..1 across the surface */\nvec3 metal(float u, float warm) {\n  float lit = sqrt(max(1.0 - u * u, 0.0));\n  float s1 = exp(-sq((u + 0.42) * 3.5));\n  float s2 = exp(-sq((u - 0.62) * 7.0));\n  vec3 col = vec3(0.27, 0.28, 0.31) * (0.30 + 0.70 * lit);\n  col += vec3(0.85, 0.87, 0.92) * (s1 * 0.45 + s2 * 0.18);\n  col += vec3(1.0, 0.55, 0.20) * warm;\n  return col;\n}\n\nvec3 background(vec2 p, vec2 uv) {\n  vec3 col;\n  if (p.y > DESK_Y) {\n    float t = clamp((p.y - DESK_Y) / 4.0, 0.0, 1.0);\n    col = mix(vec3(0.080, 0.075, 0.090), vec3(0.050, 0.047, 0.060), t);\n  } else {\n    float g = sin(p.x * 21.0 + 2.5 * sin(p.y * 5.0 + p.x * 3.0) + 1.5 * sin(p.y * 12.0 - p.x * 2.0));\n    vec3 wood = mix(vec3(0.20, 0.11, 0.055), vec3(0.31, 0.175, 0.085), g * 0.5 + 0.5);\n    float depth = clamp((DESK_Y - p.y) / 2.0, 0.0, 1.0);\n    wood *= mix(0.55, 1.0, depth);\n    wood += vec3(0.12, 0.08, 0.05) * (1.0 - smoothstep(0.0, 0.03, DESK_Y - p.y));\n    vec2 sp = vec2(p.x / 1.35, (p.y - BASE_BOT + 0.02) / 0.22);\n    float sd = length(sp);\n    wood *= 1.0 - 0.6 * (1.0 - smoothstep(0.5, 1.4, sd));\n    vec2 dp = vec2(p.x / 1.9, (p.y - BASE_BOT) / 0.6);\n    wood += vec3(0.6, 0.3, 0.1) * uLit * exp(-dot(dp, dp) * 1.2) * 0.35;\n    col = wood;\n  }\n  vec2 gp = vec2(p.x / 1.25, (p.y - 1.25) / 1.9);\n  col += vec3(0.55, 0.27, 0.09) * uLit * exp(-dot(gp, gp) * 1.4) * 0.45;\n  vec2 q = uv - 0.5;\n  col *= 1.0 - 1.1 * dot(q, q);\n  return col;\n}\n\nvec3 baseColor(vec2 p, float w) {\n  float u = p.x / w;\n  float s = (BASE_TOP - p.y) / (BASE_TOP - BASE_BOT);\n  float warm = uLit * (exp(-s * 6.0) * 0.5 * (1.0 - 0.4 * abs(u)) + 0.04);\n  vec3 col = metal(u, warm);\n  col *= 1.0 - 0.5 * (1.0 - smoothstep(0.0, 0.015, abs(p.y - (BASE_TOP - 0.12))));\n  col *= 1.0 + 0.25 * (1.0 - smoothstep(0.0, 0.06, BASE_TOP - p.y));\n  col *= 1.0 - 0.45 * (1.0 - smoothstep(0.0, 0.12, p.y - BASE_BOT));\n  /* a ring of vent holes that glow when the bulb is on */\n  float hy = BASE_TOP - 0.42 * (BASE_TOP - BASE_BOT);\n  float hw = baseW(hy);\n  vec3 hcol = mix(vec3(0.03, 0.03, 0.035), vec3(1.0, 0.5, 0.15) * (0.8 + 0.3 * uHeat), uLit);\n  for (int k = -3; k <= 3; k++) {\n    float ang = float(k) * 0.40;\n    vec2 hc = vec2(sin(ang) * hw * 0.92, hy);\n    vec2 d = (p - hc) / vec2(0.038 * cos(ang), 0.038);\n    float hd = length(d);\n    col = mix(col, hcol, 1.0 - smoothstep(0.75, 1.0, hd));\n    col += vec3(1.0, 0.45, 0.12) * uLit * (1.0 - smoothstep(1.0, 3.0, hd)) * 0.25;\n  }\n  return col;\n}\n\nvec3 capColor(vec2 p, float w) {\n  float u = p.x / w;\n  vec3 col = metal(u, uLit * 0.06);\n  col *= 1.0 - 0.5 * (1.0 - smoothstep(0.0, 0.012, abs(p.y - (H + 0.07))));\n  col *= 1.0 - 0.35 * (1.0 - smoothstep(0.0, 0.06, p.y - (H - 0.06)));\n  col += vec3(0.9, 0.45, 0.15) * uLit * 0.18 * (1.0 - smoothstep(0.0, 0.25, p.y - H));\n  return col;\n}\n\nvec3 glassColor(vec2 p, float px, float w, float edge, vec3 bg) {\n  float xn = p.x / w;\n  float cyl = sqrt(max(1.0 - xn * xn, 0.0));\n\n  /* liquid, lit from the bulb below */\n  vec3 liq = mix(vec3(0.10, 0.07, 0.32), vec3(0.80, 0.33, 0.10), exp(-p.y * 1.3));\n  liq += vec3(1.0, 0.72, 0.35) * exp(-length(vec2(p.x * 1.4, p.y + 0.12)) * 2.4);\n  liq *= 0.5 + 0.5 * cyl;\n  vec3 liqOff = bg * 0.55 + vec3(0.015, 0.015, 0.025);\n  liq = mix(liqOff, liq, uLit);\n\n  /* wax: metaball field, its gradient and a heat-weighted colour */\n  float F = 0.0;\n  vec2 G = vec2(0.0);\n  float heat = 0.0;\n  for (int i = 0; i < 16; i++) {\n    if (i >= uCount) break;\n    vec4 b = uBlobs[i];\n    vec2 d = p - b.xy;\n    float d2 = dot(d, d) + 1e-5;\n    float q = b.z * inversesqrt(d2);\n    float f = q * q * q;\n    F += f;\n    G -= (3.0 * f / d2) * d;\n    heat += f * b.w;\n  }\n  {\n    /* the pool at the bottom is a horizontal capsule */\n    vec2 pa = p - vec2(-uPool.x, uPool.y);\n    float h = clamp(pa.x / (2.0 * uPool.x), 0.0, 1.0);\n    vec2 d = pa - vec2(2.0 * uPool.x * h, 0.0);\n    float d2 = dot(d, d) + 1e-5;\n    float q = uPool.z * inversesqrt(d2);\n    float f = q * q * q;\n    F += f;\n    G -= (3.0 * f / d2) * d;\n    heat += f * uPool.w;\n  }\n  heat = clamp(heat / max(F, 1e-4), 0.0, 1.0);\n\n  float aa = max(length(G) * px * 0.8, 1e-3);\n  float wax = smoothstep(-aa, aa, F - 1.0);\n\n  /* shade the wax as a rounded surface built from the field height */\n  float hgt = sqrt(max(F - 1.0, 0.0));\n  vec2 gh = G / (2.0 * hgt + 0.08);\n  vec3 n = normalize(vec3(-gh * 0.30, 1.0));\n  vec3 L1 = normalize(vec3(-0.45, 0.6, 0.65));\n  float dif = max(dot(n, L1), 0.0);\n  vec3 hv = normalize(L1 + vec3(0.0, 0.0, 1.0));\n  float spec = pow(max(dot(n, hv), 0.0), 36.0);\n  float rim = 1.0 - n.z;\n  float under = exp(-p.y * 1.0);\n  vec3 wcol = mix(vec3(0.60, 0.09, 0.05), vec3(1.0, 0.48, 0.12), heat);\n  vec3 waxLit = wcol * (0.30 + 0.70 * dif)\n              + vec3(1.0, 0.62, 0.22) * under * (0.45 + 0.55 * rim) * 0.85\n              + vec3(1.0, 0.9, 0.8) * spec * 0.55;\n  vec3 waxOff = vec3(0.22, 0.07, 0.05) * (0.35 + 0.65 * dif) + vec3(0.5, 0.45, 0.4) * spec * 0.25;\n  vec3 waxCol = mix(waxOff, waxLit, uLit);\n\n  /* faint glow of the wax through the liquid */\n  liq += vec3(1.0, 0.5, 0.2) * smoothstep(0.3, 1.0, F) * 0.14 * uLit;\n  vec3 col = mix(liq, waxCol, wax);\n\n  /* glass: reflections and the darker, thicker walls */\n  float h1 = exp(-sq((xn + 0.60) * 8.0));\n  float h2 = exp(-sq((xn - 0.76) * 14.0));\n  col += vec3(0.85, 0.9, 1.0) * (h1 * 0.30 + h2 * 0.12) * (0.45 + 0.55 * uLit);\n  float ed = 1.0 - smoothstep(0.0, 0.12, edge);\n  col *= 1.0 - 0.55 * ed * ed;\n  col += vec3(0.6, 0.65, 0.75) * (1.0 - smoothstep(0.0, 0.012, abs(edge - 0.02))) * 0.12;\n  return col;\n}\n\nvoid main() {\n  vec2 fc = gl_FragCoord.xy;\n  vec2 uv = fc / uRes;\n  vec2 p = (fc - uView.xy) / uView.z;\n  float px = 1.0 / uView.z;\n  float ax = abs(p.x);\n  vec3 col = background(p, uv);\n\n  if (p.y > 0.0 && p.y < H) {\n    float w = glassW(p.y);\n    float edge = w - ax;\n    if (edge > -px) {\n      vec3 g = glassColor(p, px, w, edge, col);\n      col = mix(col, g, smoothstep(-px, px, edge));\n    }\n  }\n  if (p.y > BASE_BOT - px && p.y < BASE_TOP + px) {\n    float w = baseW(p.y);\n    float edge = min(w - ax, min(p.y - BASE_BOT, BASE_TOP - p.y));\n    if (edge > -px) {\n      col = mix(col, baseColor(p, w), smoothstep(-px, px, edge));\n    }\n  }\n  if (p.y > H - 0.06 - px && p.y < CAP_TOP + px) {\n    float w = capW(p.y);\n    float edge = min(w - ax, min(p.y - (H - 0.06), CAP_TOP - p.y));\n    if (edge > -px) {\n      col = mix(col, capColor(p, w), smoothstep(-px, px, edge));\n    }\n  }\n  gl_FragColor = vec4(col, 1.0);\n}\n</script>\n\n<script>\n/*JS*/\n</script>\n</body>\n</html>\n"
}

[tool result]
File created successfully at: [workspace]/index.html (file state is current in your context — no need to Read it back)

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[assistant]
Now the simulation code.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "/*JS*/",
  "new_string": "'use strict';\n/* ================= simulation =================\n   Units: the glass is 2 wide at its widest, the liquid runs from y = 0 to y = H.\n   Each blob is a sphere of wax with a mass (volume), a temperature and a velocity.\n   Heat only enters at the bottom; buoyancy follows temperature, so blobs rise while\n   warm, cool on the way up, and sink back. Mass moves between blobs gradually, which\n   is what makes merges and splits look like fluid rather than swaps. */\nconst H = 2.6, MAXB = 14, MMIN = 0.0022, BUOY = 0.5, DRAG = 0.6;\nconst pool = { hl: 0.3, yc: -0.5, m: 0.9, R: 0.965, T: 0 };\nlet blobs = [];\nlet on = true, heat = 0, lit = 0, simT = 0, spawnT = 1;\n\nfunction clamp01(x) { return x < 0 ? 0 : x > 1 ? 1 : x; }\nfunction sst(a, b, x) { const t = clamp01((x - a) / (b - a)); return t * t * (3 - 2 * t); }\nfunction glassW(y) {\n  const t = clamp01(y / H);\n  const a = sst(0, 0.28, t);\n  const u = clamp01((t - 0.28) / 0.72);\n  const b = u + (u * u * (3 - 2 * u) - u) * 0.6;\n  const lower = 0.62 + 0.38 * a;\n  return lower + (0.40 - lower) * b;\n}\nfunction newBlob(x, y, T, m) {\n  return { x, y, vx: 0, vy: 0, m, r: Math.cbrt(m), T, age: 0, grace: 0,\n           ph: Math.random() * 6.283, om: 0.3 + Math.random() * 0.5,\n           st: 0, tgt: null, rate: 0, goal: 0, nm: null, nmT: 0 };\n}\n/* st: 0 free, 1 merging into tgt, 2 melting into the pool, 3 growing out of tgt */\n\nfunction split(p) {\n  const f = 0.3 + Math.random() * 0.25;\n  const ang = Math.random() * Math.PI * 2;\n  const c = newBlob(p.x + Math.cos(ang) * 0.02, p.y + Math.sin(ang) * 0.02, p.T - 0.04, 0.001);\n  p.m -= 0.001;\n  c.st = 3; c.tgt = p; c.goal = p.m * f; c.rate = c.goal / 1.2;\n  c.vx = p.vx + Math.cos(ang) * 0.18; c.vy = p.vy + Math.sin(ang) * 0.1;\n  c.ph = p.ph + Math.PI;\n  c.grace = 1;\n  c.nm = p; c.nmT = 3.5; p.nm = c; p.nmT = 3.5;\n  p.T += 0.03;\n  blobs.push(c);\n}\n\nfunction step(dt) {\n  simT += dt;\n  const want = on ? 1 : 0;\n  heat += (want - heat) * (1 - Math.exp(-dt / (on ? 3 : 6)));\n  lit  += (want - lit)  * (1 - Math.exp(-dt / (on ? 0.12 : 0.35)));\n  pool.T += (heat - pool.T) * (1 - Math.exp(-dt / 3));\n  pool.R = Math.cbrt(pool.m);\n  const pt = pool.yc + pool.R;\n\n  /* heat exchange and forces */\n  for (const b of blobs) {\n    b.age += dt; b.grace -= dt; b.nmT -= dt;\n    b.r = Math.cbrt(b.m);\n    const zone = 1 - sst(0.15, 0.65, b.y);\n    const Tenv = 0.08 + (heat - 0.08) * zone;\n    const contact = b.y - b.r < pt + 0.05;\n    const k = (contact ? 0.14 : 0.038) / Math.max(b.r, 0.05);\n    b.T += (Tenv - b.T) * (1 - Math.exp(-k * dt));\n    let ax = 0.06 * Math.sin(simT * b.om + b.ph) - b.x * 0.1 * (b.T - 0.5);\n    let ay = BUOY * (b.T - 0.5);\n    const lim = glassW(b.y) - b.r * 0.72;\n    if (Math.abs(b.x) > lim) { ax -= (Math.abs(b.x) - lim) * 25 * Math.sign(b.x); b.vx *= Math.max(0, 1 - 6 * dt); }\n    const top = H - b.r * 0.8 - 0.04;\n    if (b.y > top) { ay -= (b.y - top) * 25; b.vy *= Math.max(0, 1 - 6 * dt); }\n    const floor = pt + b.r * 0.9;\n    if (b.y < floor && b.st !== 2 && b.st !== 3) { ay += (floor - b.y) * 25; b.vy *= Math.max(0, 1 - 6 * dt); }\n    ax -= b.vx * DRAG; ay -= b.vy * DRAG;\n    b.vx += ax * dt; b.vy += ay * dt;\n  }\n\n  /* touching blobs: start a merge, or push apart if they are not allowed to merge yet */\n  const n = blobs.length;\n  for (let i = 0; i < n; i++) {\n    const a = blobs[i];\n    for (let j = i + 1; j < n; j++) {\n      const b = blobs[j];\n      const dx = b.x - a.x, dy = b.y - a.y;\n      const d = Math.hypot(dx, dy) + 1e-6;\n      const sum = a.r + b.r;\n      if (d > sum || a.tgt === b || b.tgt === a) continue;\n      const nomerge = (a.nm === b && a.nmT > 0) || (b.nm === a && b.nmT > 0);\n      if (d < sum * 0.82 && !nomerge && a.st === 0 && b.st === 0) {\n        const big = a.m >= b.m ? a : b, small = big === a ? b : a;\n        small.st = 1; small.tgt = big; small.rate = small.m / 1.1;\n      } else if (d < sum * 0.7) {\n        const f = (sum * 0.7 - d) * 6 * dt, tot = a.m + b.m;\n        const nx = dx / d, ny = dy / d;\n        a.vx -= nx * f * b.m / tot; a.vy -= ny * f * b.m / tot;\n        b.vx += nx * f * a.m / tot; b.vy += ny * f * a.m / tot;\n      }\n    }\n  }\n\n  /* gradual mass transfer for merges, melting into the pool, and growth */\n  for (const b of blobs) {\n    if (b.st === 1) {\n      const o = b.tgt;\n      const dx = o.x - b.x, dy = o.y - b.y, d = Math.hypot(dx, dy) + 1e-6;\n      if (d > (b.r + o.r) * 1.25) { b.st = 0; b.tgt = null; continue; }\n      const f = 2.5 * dt, tot = b.m + o.m;\n      b.vx += dx / d * f * o.m / tot; b.vy += dy / d * f * o.m / tot;\n      o.vx -= dx / d * f * b.m / tot; o.vy -= dy / d * f * b.m / tot;\n      const dm = Math.min(b.m, b.rate * dt), nm = o.m + dm;\n      o.vx = (o.vx * o.m + b.vx * dm) / nm; o.vy = (o.vy * o.m + b.vy * dm) / nm;\n      o.T = (o.T * o.m + b.T * dm) / nm;\n      o.m = nm; b.m -= dm;\n    } else if (b.st === 2) {\n      const dm = Math.min(b.m, b.rate * dt);\n      pool.T = (pool.T * pool.m + b.T * dm) / (pool.m + dm);\n      pool.m += dm; b.m -= dm;\n      b.vy += (pt - 0.08 - b.y) * 6 * dt; b.vx *= Math.max(0, 1 - 3 * dt);\n    } else if (b.st === 3) {\n      const src = b.tgt;\n      const avail = src === pool ? src.m - 0.4 : src.m - MMIN;\n      const dm = Math.min(b.goal - b.m, b.rate * dt, avail);\n      if (dm > 0) { src.m -= dm; b.m += dm; }\n      if (src === pool) {\n        b.vy += 0.3 * dt;\n      } else {\n        const dx = b.x - src.x, dy = b.y - src.y, d = Math.hypot(dx, dy) + 1e-6;\n        b.vx += dx / d * 1.2 * dt; b.vy += dy / d * 1.2 * dt;\n        src.vx -= dx / d * 1.2 * dt * b.m / src.m; src.vy -= dy / d * 1.2 * dt * b.m / src.m;\n      }\n      if (b.m >= b.goal - 1e-4 || dm <= 0) { b.st = 0; b.tgt = null; }\n    }\n  }\n\n  /* events: cold blobs melt back into the pool, cooling or oversized blobs split */\n  for (const b of blobs) {\n    if (b.st !== 0) continue;\n    if (b.grace <= 0 && b.y < pt + b.r * 0.95 + 0.02 && b.vy < 0.05 && b.T < 0.42) {\n      b.st = 2; b.rate = b.m / 1.2; continue;\n    }\n    if (blobs.length >= MAXB || b.m < 2.2 * MMIN) continue;\n    let rate = 0;\n    if (b.T < 0.52 && b.y > 0.5 * H && b.vy < 0.08) rate += 0.35;\n    if (b.r > 0.36 && b.vy > 0.08) rate += 0.12;\n    if (b.r > 0.5) rate += 1.0;\n    if (rate > 0 && Math.random() < rate * dt) split(b);\n  }\n\n  /* the hot pool pinches off new blobs */\n  spawnT -= dt;\n  if (spawnT <= 0) {\n    spawnT = 1.5 + Math.random() * 3;\n    if (pool.T > 0.55 && blobs.length < MAXB && pool.m > 0.45) {\n      const goal = Math.min((pool.m - 0.4) * (0.3 + Math.random() * 0.5), 0.075);\n      if (goal > MMIN * 2) {\n        const b = newBlob((Math.random() - 0.5) * 1.7 * pool.hl, pt - 0.12, pool.T, 0.001);\n        pool.m -= 0.001;\n        b.st = 3; b.tgt = pool; b.goal = goal; b.rate = goal / 1.6; b.vy = 0.08; b.grace = 5;\n        blobs.push(b);\n      }\n    }\n  }\n\n  /* remove spent blobs and drop references to them */\n  let removed = false;\n  for (const b of blobs) {\n    if (b.m < 1e-4 || (b.st === 0 && b.m < MMIN * 0.6)) { pool.m += Math.max(b.m, 0); b.m = -1; removed = true; }\n  }\n  if (removed) {\n    blobs = blobs.filter(b => b.m >= 0);\n    for (const b of blobs) {\n      if (b.tgt && b.tgt !== pool && b.tgt.m < 0) { b.st = 0; b.tgt = null; }\n      if (b.nm && b.nm.m < 0) b.nm = null;\n    }\n  }\n\n  for (const b of blobs) { b.x += b.vx * dt; b.y += b.vy * dt; }\n}\n\nfunction reset() {\n  blobs = []; pool.m = 0.9; pool.T = 0; heat = 0; lit = 0; simT = 0; spawnT = 1;\n  for (let i = 0; i < 3600; i++) step(1 / 60);   /* start already warmed up and flowing */\n}\n\n/*JS2*/"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[assistant]
Now the WebGL renderer, layout, switch wiring and the adaptive-resolution frame loop.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "/*JS2*/",
  "new_string": "/* ================= rendering ================= */\nconst canvas = document.getElementById('c');\nconst sw = document.getElementById('sw');\nconst blobArr = new Float32Array(64);\nlet gl = null, U = {}, renderScale = 1;\n\nfunction compile(type, src) {\n  const s = gl.createShader(type);\n  gl.shaderSource(s, src);\n  gl.compileShader(s);\n  if (!gl.getShaderParameter(s, gl.COMPILE_STATUS)) throw new Error(gl.getShaderInfoLog(s));\n  return s;\n}\n\nfunction initGL() {\n  const opts = { alpha: false, antialias: false, depth: false, stencil: false, powerPreference: 'high-performance' };\n  gl = canvas.getContext('webgl', opts) || canvas.getContext('experimental-webgl', opts);\n  if (!gl) return false;\n  const prog = gl.createProgram();\n  gl.attachShader(prog, compile(gl.VERTEX_SHADER, document.getElementById('vs').textContent));\n  gl.attachShader(prog, compile(gl.FRAGMENT_SHADER, document.getElementById('fs').textContent));\n  gl.linkProgram(prog);\n  if (!gl.getProgramParameter(prog, gl.LINK_STATUS)) throw new Error(gl.getProgramInfoLog(prog));\n  gl.useProgram(prog);\n  const buf = gl.createBuffer();\n  gl.bindBuffer(gl.ARRAY_BUFFER, buf);\n  gl.bufferData(gl.ARRAY_BUFFER, new Float32Array([-1, -1, 3, -1, -1, 3]), gl.STATIC_DRAW);\n  const loc = gl.getAttribLocation(prog, 'aPos');\n  gl.enableVertexAttribArray(loc);\n  gl.vertexAttribPointer(loc, 2, gl.FLOAT, false, 0, 0);\n  U = {};\n  for (const name of ['uRes', 'uView', 'uTime', 'uLit', 'uHeat', 'uBlobs', 'uCount', 'uPool']) U[name] = gl.getUniformLocation(prog, name);\n  return true;\n}\n\n/* Fit the lamp to the viewport: it spans lamp units y = -0.95 (base) to 2.9 (cap tip). */\nfunction layout() {\n  const vw = innerWidth, vh = innerHeight;\n  const dpr = Math.min(devicePixelRatio || 1, 2) * renderScale;\n  const cw = Math.max(1, Math.round(vw * dpr)), ch = Math.max(1, Math.round(vh * dpr));\n  if (canvas.width !== cw || canvas.height !== ch) { canvas.width = cw; canvas.height = ch; }\n  const S = Math.min(0.80 * vh / 3.85, 0.86 * vw / 2.2);   /* CSS px per lamp unit */\n  const ox = vw / 2;\n  const oyTop = vh * 0.47 + 0.975 * S;                       /* screen y of the glass bottom */\n  const swW = Math.max(0.46 * S, 64), swH = Math.max(0.21 * S, 30);\n  sw.style.setProperty('--w', swW + 'px');\n  sw.style.setProperty('--h', swH + 'px');\n  sw.style.left = (ox - swW / 2) + 'px';\n  sw.style.top = (oyTop + 0.60 * S - swH / 2) + 'px';\n  if (gl) {\n    gl.viewport(0, 0, cw, ch);\n    gl.uniform2f(U.uRes, cw, ch);\n    gl.uniform3f(U.uView, ox * dpr, (vh - oyTop) * dpr, S * dpr);\n  }\n}\n\nfunction draw() {\n  const n = Math.min(blobs.length, 16);\n  for (let i = 0; i < n; i++) {\n    const b = blobs[i];\n    blobArr[i * 4] = b.x; blobArr[i * 4 + 1] = b.y; blobArr[i * 4 + 2] = b.r; blobArr[i * 4 + 3] = b.T;\n  }\n  gl.uniform4fv(U.uBlobs, blobArr);\n  gl.uniform1i(U.uCount, n);\n  gl.uniform4f(U.uPool, pool.hl, pool.yc, pool.R, pool.T);\n  gl.uniform1f(U.uTime, simT);\n  gl.uniform1f(U.uLit, lit);\n  gl.uniform1f(U.uHeat, heat);\n  gl.drawArrays(gl.TRIANGLES, 0, 3);\n}\n\n/* Frame loop. If frames keep missing 60 fps the render resolution steps down,\n   and steps back up once things have been smooth for a while. */\nlet last = 0, cnt = 0, slow = 0, good = 0, warm = 2;\nfunction frame(now) {\n  requestAnimationFrame(frame);\n  if (!gl) return;\n  let dt = last ? (now - last) / 1000 : 1 / 60;\n  last = now;\n  if (dt > 0.1) dt = 0.1;\n  cnt++;\n  if (dt > 0.021) slow++;\n  if (cnt >= 90) {\n    if (warm > 0) warm--;\n    else if (slow > 9) { good = 0; if (renderScale > 0.5) { renderScale = Math.max(0.5, renderScale * 0.85); layout(); } }\n    else if (slow === 0 && renderScale < 1 && ++good >= 6) { good = 0; renderScale = Math.min(1, renderScale / 0.85); layout(); }\n    cnt = 0; slow = 0;\n  }\n  const sub = dt > 0.025 ? 2 : 1;\n  for (let i = 0; i < sub; i++) step(dt / sub);\n  draw();\n}\n\nfunction setOn(v) {\n  on = v;\n  sw.setAttribute('aria-checked', String(v));\n  if (v) spawnT = Math.min(spawnT, 1);\n}\n\nsw.addEventListener('click', () => setOn(!on));\naddEventListener('resize', layout);\ndocument.addEventListener('visibilitychange', () => { last = 0; cnt = 0; slow = 0; });\ncanvas.addEventListener('webglcontextlost', e => { e.preventDefault(); gl = null; });\ncanvas.addEventListener('webglcontextrestored', () => { try { if (initGL()) layout(); } catch (e) { gl = null; } });\n\nreset();\nlet ok = false;\ntry { ok = initGL(); } catch (e) { ok = false; }\nif (ok) {\n  layout();\n  requestAnimationFrame(frame);\n} else {\n  document.getElementById('nogl').classList.add('show');\n  sw.style.display = 'none';\n}"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[system]
thinking_tokens

[system]
thinking_tokens

[system]
thinking_tokens

[tool Read]
{
  "file_path": "[workspace]/index.html",
  "offset": 90,
  "limit": 260
}

[tool result]
90	uniform vec2  uRes;      /* canvas size in pixels */
91	uniform vec3  uView;     /* lamp origin x, y (canvas px, y up) and scale (px per lamp unit) */
92	uniform float uTime;
93	uniform float uLit;      /* bulb light 0..1 */
94	uniform float uHeat;     /* bulb heat 0..1 */
95	uniform vec4  uBlobs[16];/* x, y, radius, heat */
96	uniform int   uCount;
97	uniform vec4  uPool;     /* half length, centre y, radius, heat */
98	
99	const float H        = 2.6;    /* liquid height */
100	const float BASE_TOP = 0.14;
101	const float BASE_BOT = -0.95;
102	const float CAP_TOP  = 2.9;
103	const float DESK_Y   = -0.62;
104	
105	float sq(float x) { return x * x; }
106	
107	/* half-width of the glass at height y: a teardrop, widest a third of the way up */
108	float glassW(float y) {
109	  float t = clamp(y / H, 0.0, 1.0);
110	  float a = smoothstep(0.0, 0.28, t);
111	  float u = clamp((t - 0.28) / 0.72, 0.0, 1.0);
112	  float b = mix(u, u * u * (3.0 - 2.0 * u), 0.6);
113	  return mix(mix(0.62, 1.0, a), 0.40, b);
114	}
115	
116	/* half-width of the metal base: a lip on top, then a flaring cone */
117	float baseW(float y) {
118	  if (y > BASE_TOP - 0.12) return 0.72;
119	  float s = clamp((BASE_TOP - y) / (BASE_TOP - BASE_BOT), 0.0, 1.0);
120	  return mix(0.70, 1.10, s * s * 0.6 + s * 0.4);
121	}
122	
123	/* half-width of the metal cap: a collar, then a cone with a rounded tip */
124	float capW(float y) {
125	  if (y < H + 0.07) return 0.45;
126	  float s = clamp((y - H) / (CAP_TOP - H), 0.0, 1.0);
127	  float w = mix(0.44, 0.17, s);
128	  float tip = clamp((s - 0.88) / 0.12, 0.0, 1.0);
129	  return w * sqrt(max(1.0 - tip * tip, 0.0));
130	}
131	
132	/* brushed metal shading across a cone; u = -1..1 across the surface */
133	vec3 metal(float u, float warm) {
134	  float lit = sqrt(max(1.0 - u * u, 0.0));
135	  float s1 = exp(-sq((u + 0.42) * 3.5));
136	  float s2 = exp(-sq((u - 0.62) * 7.0));
137	  vec3 col = vec3(0.27, 0.28, 0.31) * (0.30 + 0.70 * lit);
138	  col += vec3(0.85, 0.87, 0.92) * (s1 * 0.45 + s2 * 0.18);
139	  col += vec3(1.0, 0.55, 0.20) * warm;
140	  return col;
141	}
142	
143	vec3 background(vec2 p, vec2 uv) {
144	  vec3 col;
145	  if (p.y > DESK_Y) {
146	    float t = clamp((p.y - DESK_Y) / 4.0, 0.0, 1.0);
147	    col = mix(vec3(0.080, 0.075, 0.090), vec3(0.050, 0.047, 0.060), t);
148	  } else {
149	    float g = sin(p.x * 21.0 + 2.5 * sin(p.y * 5.0 + p.x * 3.0) + 1.5 * sin(p.y * 12.0 - p.x * 2.0));
150	    vec3 wood = mix(vec3(0.20, 0.11, 0.055), vec3(0.31, 0.175, 0.085), g * 0.5 + 0.5);
151	    float depth = clamp((DESK_Y - p.y) / 2.0, 0.0, 1.0);
152	    wood *= mix(0.55, 1.0, depth);
153	    wood += vec3(0.12, 0.08, 0.05) * (1.0 - smoothstep(0.0, 0.03, DESK_Y - p.y));
154	    vec2 sp = vec2(p.x / 1.35, (p.y - BASE_BOT + 0.02) / 0.22);
155	    float sd = length(sp);
156	    wood *= 1.0 - 0.6 * (1.0 - smoothstep(0.5, 1.4, sd));
157	    vec2 dp = vec2(p.x / 1.9, (p.y - BASE_BOT) / 0.6);
158	    wood += vec3(0.6, 0.3, 0.1) * uLit * exp(-dot(dp, dp) * 1.2) * 0.35;
159	    col = wood;
160	  }
161	  vec2 gp = vec2(p.x / 1.25, (p.y - 1.25) / 1.9);
162	  col += vec3(0.55, 0.27, 0.09) * uLit * exp(-dot(gp, gp) * 1.4) * 0.45;
163	  vec2 q = uv - 0.5;
164	  col *= 1.0 - 1.1 * dot(q, q);
165	  return col;
166	}
167	
168	vec3 baseColor(vec2 p, float w) {
169	  float u = p.x / w;
170	  float s = (BASE_TOP - p.y) / (BASE_TOP - BASE_BOT);
171	  float warm = uLit * (exp(-s * 6.0) * 0.5 * (1.0 - 0.4 * abs(u)) + 0.04);
172	  vec3 col = metal(u, warm);
173	  col *= 1.0 - 0.5 * (1.0 - smoothstep(0.0, 0.015, abs(p.y - (BASE_TOP - 0.12))));
174	  col *= 1.0 + 0.25 * (1.0 - smoothstep(0.0, 0.06, BASE_TOP - p.y));
175	  col *= 1.0 - 0.45 * (1.0 - smoothstep(0.0, 0.12, p.y - BASE_BOT));
176	  /* a ring of vent holes that glow when the bulb is on */
177	  float hy = BASE_TOP - 0.42 * (BASE_TOP - BASE_BOT);
178	  float hw = baseW(hy);
179	  vec3 hcol = mix(vec3(0.03, 0.03, 0.035), vec3(1.0, 0.5, 0.15) * (0.8 + 0.3 * uHeat), uLit);
180	  for (int k = -3; k <= 3; k++) {
181	    float ang = float(k) * 0.40;
182	    vec2 hc = vec2(sin(ang) * hw * 0.92, hy);
183	    vec2 d = (p - hc) / vec2(0.038 * cos(ang), 0.038);
184	    float hd = length(d);
185	    col = mix(col, hcol, 1.0 - smoothstep(0.75, 1.0, hd));
186	    col += vec3(1.0, 0.45, 0.12) * uLit * (1.0 - smoothstep(1.0, 3.0, hd)) * 0.25;
187	  }
188	  return col;
189	}
190	
191	vec3 capColor(vec2 p, float w) {
192	  float u = p.x / w;
193	  vec3 col = metal(u, uLit * 0.06);
194	  col *= 1.0 - 0.5 * (1.0 - smoothstep(0.0, 0.012, abs(p.y - (H + 0.07))));
195	  col *= 1.0 - 0.35 * (1.0 - smoothstep(0.0, 0.06, p.y - (H - 0.06)));
196	  col += vec3(0.9, 0.45, 0.15) * uLit * 0.18 * (1.0 - smoothstep(0.0, 0.25, p.y - H));
197	  return col;
198	}
199	
200	vec3 glassColor(vec2 p, float px, float w, float edge, vec3 bg) {
201	  float xn = p.x / w;
202	  float cyl = sqrt(max(1.0 - xn * xn, 0.0));
203	
204	  /* liquid, lit from the bulb below */
205	  vec3 liq = mix(vec3(0.10, 0.07, 0.32), vec3(0.80, 0.33, 0.10), exp(-p.y * 1.3));
206	  liq += vec3(1.0, 0.72, 0.35) * exp(-length(vec2(p.x * 1.4, p.y + 0.12)) * 2.4);
207	  liq *= 0.5 + 0.5 * cyl;
208	  vec3 liqOff = bg * 0.55 + vec3(0.015, 0.015, 0.025);
209	  liq = mix(liqOff, liq, uLit);
210	
211	  /* wax: metaball field, its gradient and a heat-weighted colour */
212	  float F = 0.0;
213	  vec2 G = vec2(0.0);
214	  float heat = 0.0;
215	  for (int i = 0; i < 16; i++) {
216	    if (i >= uCount) break;
217	    vec4 b = uBlobs[i];
218	    vec2 d = p - b.xy;
219	    float d2 = dot(d, d) + 1e-5;
220	    float q = b.z * inversesqrt(d2);
221	    float f = q * q * q;
222	    F += f;
223	    G -= (3.0 * f / d2) * d;
224	    heat += f * b.w;
225	  }
226	  {
227	    /* the pool at the bottom is a horizontal capsule */
228	    vec2 pa = p - vec2(-uPool.x, uPool.y);
229	    float h = clamp(pa.x / (2.0 * uPool.x), 0.0, 1.0);
230	    vec2 d = pa - vec2(2.0 * uPool.x * h, 0.0);
231	    float d2 = dot(d, d) + 1e-5;
232	    float q = uPool.z * inversesqrt(d2);
233	    float f = q * q * q;
234	    F += f;
235	    G -= (3.0 * f / d2) * d;
236	    heat += f * uPool.w;
237	  }
238	  heat = clamp(heat / max(F, 1e-4), 0.0, 1.0);
239	
240	  float aa = max(length(G) * px * 0.8, 1e-3);
241	  float wax = smoothstep(-aa, aa, F - 1.0);
242	
243	  /* shade the wax as a rounded surface built from the field height */
244	  float hgt = sqrt(max(F - 1.0, 0.0));
245	  vec2 gh = G / (2.0 * hgt + 0.08);
246	  vec3 n = normalize(vec3(-gh * 0.30, 1.0));
247	  vec3 L1 = normalize(vec3(-0.45, 0.6, 0.65));
248	  float dif = max(dot(n, L1), 0.0);
249	  vec3 hv = normalize(L1 + vec3(0.0, 0.0, 1.0));
250	  float spec = pow(max(dot(n, hv), 0.0), 36.0);
251	  float rim = 1.0 - n.z;
252	  float under = exp(-p.y * 1.0);
253	  vec3 wcol = mix(vec3(0.60, 0.09, 0.05), vec3(1.0, 0.48, 0.12), heat);
254	  vec3 waxLit = wcol * (0.30 + 0.70 * dif)
255	              + vec3(1.0, 0.62, 0.22) * under * (0.45 + 0.55 * rim) * 0.85
256	              + vec3(1.0, 0.9, 0.8) * spec * 0.55;
257	  vec3 waxOff = vec3(0.22, 0.07, 0.05) * (0.35 + 0.65 * dif) + vec3(0.5, 0.45, 0.4) * spec * 0.25;
258	  vec3 waxCol = mix(waxOff, waxLit, uLit);
259	
260	  /* faint glow of the wax through the liquid */
261	  liq += vec3(1.0, 0.5, 0.2) * smoothstep(0.3, 1.0, F) * 0.14 * uLit;
262	  vec3 col = mix(liq, waxCol, wax);
263	
264	  /* glass: reflections and the darker, thicker walls */
265	  float h1 = exp(-sq((xn + 0.60) * 8.0));
266	  float h2 = exp(-sq((xn - 0.76) * 14.0));
267	  col += vec3(0.85, 0.9, 1.0) * (h1 * 0.30 + h2 * 0.12) * (0.45 + 0.55 * uLit);
268	  float ed = 1.0 - smoothstep(0.0, 0.12, edge);
269	  col *= 1.0 - 0.55 * ed * ed;
270	  col += vec3(0.6, 0.65, 0.75) * (1.0 - smoothstep(0.0, 0.012, abs(edge - 0.02))) * 0.12;
271	  return col;
272	}
273	
274	void main() {
275	  vec2 fc = gl_FragCoord.xy;
276	  vec2 uv = fc / uRes;
277	  vec2 p = (fc - uView.xy) / uView.z;
278	  float px = 1.0 / uView.z;
279	  float ax = abs(p.x);
280	  vec3 col = background(p, uv);
281	
282	  if (p.y > 0.0 && p.y < H) {
283	    float w = glassW(p.y);
284	    float edge = w - ax;
285	    if (edge > -px) {
286	      vec3 g = glassColor(p, px, w, edge, col);
287	      col = mix(col, g, smoothstep(-px, px, edge));
288	    }
289	  }
290	  if (p.y > BASE_BOT - px && p.y < BASE_TOP + px) {
291	    float w = baseW(p.y);
292	    float edge = min(w - ax, min(p.y - BASE_BOT, BASE_TOP - p.y));
293	    if (edge > -px) {
294	      col = mix(col, baseColor(p, w), smoothstep(-px, px, edge));
295	    }
296	  }
297	  if (p.y > H - 0.06 - px && p.y < CAP_TOP + px) {
298	    float w = capW(p.y);
299	    float edge = min(w - ax, min(p.y - (H - 0.06), CAP_TOP - p.y));
300	    if (edge > -px) {
301	      col = mix(col, capColor(p, w), smoothstep(-px, px, edge));
302	    }
303	  }
304	  gl_FragColor = vec4(col, 1.0);
305	}
306	</script>
307	
308	<script>
309	'use strict';
310	/* ================= simulation =================
311	   Units: the glass is 2 wide at its widest, the liquid runs from y = 0 to y = H.
312	   Each blob is a sphere of wax with a mass (volume), a temperature and a velocity.
313	   Heat only enters at the bottom; buoyancy follows temperature, so blobs rise while
314	   warm, cool on the way up, and sink back. Mass moves between blobs gradually, which
315	   is what makes merges and splits look like fluid rather than swaps. */
316	const H = 2.6, MAXB = 14, MMIN = 0.0022, BUOY = 0.5, DRAG = 0.6;
317	const pool = { hl: 0.3, yc: -0.5, m: 0.9, R: 0.965, T: 0 };
318	let blobs = [];
319	let on = true, heat = 0, lit = 0, simT = 0, spawnT = 1;
320	
321	function clamp01(x) { return x < 0 ? 0 : x > 1 ? 1 : x; }
322	function sst(a, b, x) { const t = clamp01((x - a) / (b - a)); return t * t * (3 - 2 * t); }
323	function glassW(y) {
324	  const t = clamp01(y / H);
325	  const a = sst(0, 0.28, t);
326	  const u = clamp01((t - 0.28) / 0.72);
327	  const b = u + (u * u * (3 - 2 * u) - u) * 0.6;
328	  const lower = 0.62 + 0.38 * a;
329	  return lower + (0.40 - lower) * b;
330	}
331	function newBlob(x, y, T, m) {
332	  return { x, y, vx: 0, vy: 0, m, r: Math.cbrt(m), T, age: 0, grace: 0,
333	           ph: Math.random() * 6.283, om: 0.3 + Math.random() * 0.5,
334	           st: 0, tgt: null, rate: 0, goal: 0, nm: null, nmT: 0 };
335	}
336	/* st: 0 free, 1 merging into tgt, 2 melting into the pool, 3 growing out of tgt */
337	
338	function split(p) {
339	  const f = 0.3 + Math.random() * 0.25;
340	  const ang = Math.random() * Math.PI * 2;
341	  const c = newBlob(p.x + Math.cos(ang) * 0.02, p.y + Math.sin(ang) * 0.02, p.T - 0.04, 0.001);
342	  p.m -= 0.001;
343	  c.st = 3; c.tgt = p; c.goal = p.m * f; c.rate = c.goal / 1.2;
344	  c.vx = p.vx + Math.cos(ang) * 0.18; c.vy = p.vy + Math.sin(ang) * 0.1;
345	  c.ph = p.ph + Math.PI;
346	  c.grace = 1;
347	  c.nm = p; c.nmT = 3.5; p.nm = c; p.nmT = 3.5;
348	  p.T += 0.03;
349	  blobs.push(c);

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[tool Read]
{
  "file_path": "[workspace]/index.html",
  "offset": 349,
  "limit": 250
}

[tool result]
349	  blobs.push(c);
350	}
351	
352	function step(dt) {
353	  simT += dt;
354	  const want = on ? 1 : 0;
355	  heat += (want - heat) * (1 - Math.exp(-dt / (on ? 3 : 6)));
356	  lit  += (want - lit)  * (1 - Math.exp(-dt / (on ? 0.12 : 0.35)));
357	  pool.T += (heat - pool.T) * (1 - Math.exp(-dt / 3));
358	  pool.R = Math.cbrt(pool.m);
359	  const pt = pool.yc + pool.R;
360	
361	  /* heat exchange and forces */
362	  for (const b of blobs) {
363	    b.age += dt; b.grace -= dt; b.nmT -= dt;
364	    b.r = Math.cbrt(b.m);
365	    const zone = 1 - sst(0.15, 0.65, b.y);
366	    const Tenv = 0.08 + (heat - 0.08) * zone;
367	    const contact = b.y - b.r < pt + 0.05;
368	    const k = (contact ? 0.14 : 0.038) / Math.max(b.r, 0.05);
369	    b.T += (Tenv - b.T) * (1 - Math.exp(-k * dt));
370	    let ax = 0.06 * Math.sin(simT * b.om + b.ph) - b.x * 0.1 * (b.T - 0.5);
371	    let ay = BUOY * (b.T - 0.5);
372	    const lim = glassW(b.y) - b.r * 0.72;
373	    if (Math.abs(b.x) > lim) { ax -= (Math.abs(b.x) - lim) * 25 * Math.sign(b.x); b.vx *= Math.max(0, 1 - 6 * dt); }
374	    const top = H - b.r * 0.8 - 0.04;
375	    if (b.y > top) { ay -= (b.y - top) * 25; b.vy *= Math.max(0, 1 - 6 * dt); }
376	    const floor = pt + b.r * 0.9;
377	    if (b.y < floor && b.st !== 2 && b.st !== 3) { ay += (floor - b.y) * 25; b.vy *= Math.max(0, 1 - 6 * dt); }
378	    ax -= b.vx * DRAG; ay -= b.vy * DRAG;
379	    b.vx += ax * dt; b.vy += ay * dt;
380	  }
381	
382	  /* touching blobs: start a merge, or push apart if they are not allowed to merge yet */
383	  const n = blobs.length;
384	  for (let i = 0; i < n; i++) {
385	    const a = blobs[i];
386	    for (let j = i + 1; j < n; j++) {
387	      const b = blobs[j];
388	      const dx = b.x - a.x, dy = b.y - a.y;
389	      const d = Math.hypot(dx, dy) + 1e-6;
390	      const sum = a.r + b.r;
391	      if (d > sum || a.tgt === b || b.tgt === a) continue;
392	      const nomerge = (a.nm === b && a.nmT > 0) || (b.nm === a && b.nmT > 0);
393	      if (d < sum * 0.82 && !nomerge && a.st === 0 && b.st === 0) {
394	        const big = a.m >= b.m ? a : b, small = big === a ? b : a;
395	        small.st = 1; small.tgt = big; small.rate = small.m / 1.1;
396	      } else if (d < sum * 0.7) {
397	        const f = (sum * 0.7 - d) * 6 * dt, tot = a.m + b.m;
398	        const nx = dx / d, ny = dy / d;
399	        a.vx -= nx * f * b.m / tot; a.vy -= ny * f * b.m / tot;
400	        b.vx += nx * f * a.m / tot; b.vy += ny * f * a.m / tot;
401	      }
402	    }
403	  }
404	
405	  /* gradual mass transfer for merges, melting into the pool, and growth */
406	  for (const b of blobs) {
407	    if (b.st === 1) {
408	      const o = b.tgt;
409	      const dx = o.x - b.x, dy = o.y - b.y, d = Math.hypot(dx, dy) + 1e-6;
410	      if (d > (b.r + o.r) * 1.25) { b.st = 0; b.tgt = null; continue; }
411	      const f = 2.5 * dt, tot = b.m + o.m;
412	      b.vx += dx / d * f * o.m / tot; b.vy += dy / d * f * o.m / tot;
413	      o.vx -= dx / d * f * b.m / tot; o.vy -= dy / d * f * b.m / tot;
414	      const dm = Math.min(b.m, b.rate * dt), nm = o.m + dm;
415	      o.vx = (o.vx * o.m + b.vx * dm) / nm; o.vy = (o.vy * o.m + b.vy * dm) / nm;
416	      o.T = (o.T * o.m + b.T * dm) / nm;
417	      o.m = nm; b.m -= dm;
418	    } else if (b.st === 2) {
419	      const dm = Math.min(b.m, b.rate * dt);
420	      pool.T = (pool.T * pool.m + b.T * dm) / (pool.m + dm);
421	      pool.m += dm; b.m -= dm;
422	      b.vy += (pt - 0.08 - b.y) * 6 * dt; b.vx *= Math.max(0, 1 - 3 * dt);
423	    } else if (b.st === 3) {
424	      const src = b.tgt;
425	      const avail = src === pool ? src.m - 0.4 : src.m - MMIN;
426	      const dm = Math.min(b.goal - b.m, b.rate * dt, avail);
427	      if (dm > 0) { src.m -= dm; b.m += dm; }
428	      if (src === pool) {
429	        b.vy += 0.3 * dt;
430	      } else {
431	        const dx = b.x - src.x, dy = b.y - src.y, d = Math.hypot(dx, dy) + 1e-6;
432	        b.vx += dx / d * 1.2 * dt; b.vy += dy / d * 1.2 * dt;
433	        src.vx -= dx / d * 1.2 * dt * b.m / src.m; src.vy -= dy / d * 1.2 * dt * b.m / src.m;
434	      }
435	      if (b.m >= b.goal - 1e-4 || dm <= 0) { b.st = 0; b.tgt = null; }
436	    }
437	  }
438	
439	  /* events: cold blobs melt back into the pool, cooling or oversized blobs split */
440	  for (const b of blobs) {
441	    if (b.st !== 0) continue;
442	    if (b.grace <= 0 && b.y < pt + b.r * 0.95 + 0.02 && b.vy < 0.05 && b.T < 0.42) {
443	      b.st = 2; b.rate = b.m / 1.2; continue;
444	    }
445	    if (blobs.length >= MAXB || b.m < 2.2 * MMIN) continue;
446	    let rate = 0;
447	    if (b.T < 0.52 && b.y > 0.5 * H && b.vy < 0.08) rate += 0.35;
448	    if (b.r > 0.36 && b.vy > 0.08) rate += 0.12;
449	    if (b.r > 0.5) rate += 1.0;
450	    if (rate > 0 && Math.random() < rate * dt) split(b);
451	  }
452	
453	  /* the hot pool pinches off new blobs */
454	  spawnT -= dt;
455	  if (spawnT <= 0) {
456	    spawnT = 1.5 + Math.random() * 3;
457	    if (pool.T > 0.55 && blobs.length < MAXB && pool.m > 0.45) {
458	      const goal = Math.min((pool.m - 0.4) * (0.3 + Math.random() * 0.5), 0.075);
459	      if (goal > MMIN * 2) {
460	        const b = newBlob((Math.random() - 0.5) * 1.7 * pool.hl, pt - 0.12, pool.T, 0.001);
461	        pool.m -= 0.001;
462	        b.st = 3; b.tgt = pool; b.goal = goal; b.rate = goal / 1.6; b.vy = 0.08; b.grace = 5;
463	        blobs.push(b);
464	      }
465	    }
466	  }
467	
468	  /* remove spent blobs and drop references to them */
469	  let removed = false;
470	  for (const b of blobs) {
471	    if (b.m < 1e-4 || (b.st === 0 && b.m < MMIN * 0.6)) { pool.m += Math.max(b.m, 0); b.m = -1; removed = true; }
472	  }
473	  if (removed) {
474	    blobs = blobs.filter(b => b.m >= 0);
475	    for (const b of blobs) {
476	      if (b.tgt && b.tgt !== pool && b.tgt.m < 0) { b.st = 0; b.tgt = null; }
477	      if (b.nm && b.nm.m < 0) b.nm = null;
478	    }
479	  }
480	
481	  for (const b of blobs) { b.x += b.vx * dt; b.y += b.vy * dt; }
482	}
483	
484	function reset() {
485	  blobs = []; pool.m = 0.9; pool.T = 0; heat = 0; lit = 0; simT = 0; spawnT = 1;
486	  for (let i = 0; i < 3600; i++) step(1 / 60);   /* start already warmed up and flowing */
487	}
488	
489	/* ================= rendering ================= */
490	const canvas = document.getElementById('c');
491	const sw = document.getElementById('sw');
492	const blobArr = new Float32Array(64);
493	let gl = null, U = {}, renderScale = 1;
494	
495	function compile(type, src) {
496	  const s = gl.createShader(type);
497	  gl.shaderSource(s, src);
498	  gl.compileShader(s);
499	  if (!gl.getShaderParameter(s, gl.COMPILE_STATUS)) throw new Error(gl.getShaderInfoLog(s));
500	  return s;
501	}
502	
503	function initGL() {
504	  const opts = { alpha: false, antialias: false, depth: false, stencil: false, powerPreference: 'high-performance' };
505	  gl = canvas.getContext('webgl', opts) || canvas.getContext('experimental-webgl', opts);
506	  if (!gl) return false;
507	  const prog = gl.createProgram();
508	  gl.attachShader(prog, compile(gl.VERTEX_SHADER, document.getElementById('vs').textContent));
509	  gl.attachShader(prog, compile(gl.FRAGMENT_SHADER, document.getElementById('fs').textContent));
510	  gl.linkProgram(prog);
511	  if (!gl.getProgramParameter(prog, gl.LINK_STATUS)) throw new Error(gl.getProgramInfoLog(prog));
512	  gl.useProgram(prog);
513	  const buf = gl.createBuffer();
514	  gl.bindBuffer(gl.ARRAY_BUFFER, buf);
515	  gl.bufferData(gl.ARRAY_BUFFER, new Float32Array([-1, -1, 3, -1, -1, 3]), gl.STATIC_DRAW);
516	  const loc = gl.getAttribLocation(prog, 'aPos');
517	  gl.enableVertexAttribArray(loc);
518	  gl.vertexAttribPointer(loc, 2, gl.FLOAT, false, 0, 0);
519	  U = {};
520	  for (const name of ['uRes', 'uView', 'uTime', 'uLit', 'uHeat', 'uBlobs', 'uCount', 'uPool']) U[name] = gl.getUniformLocation(prog, name);
521	  return true;
522	}
523	
524	/* Fit the lamp to the viewport: it spans lamp units y = -0.95 (base) to 2.9 (cap tip). */
525	function layout() {
526	  const vw = innerWidth, vh = innerHeight;
527	  const dpr = Math.min(devicePixelRatio || 1, 2) * renderScale;
528	  const cw = Math.max(1, Math.round(vw * dpr)), ch = Math.max(1, Math.round(vh * dpr));
529	  if (canvas.width !== cw || canvas.height !== ch) { canvas.width = cw; canvas.height = ch; }
530	  const S = Math.min(0.80 * vh / 3.85, 0.86 * vw / 2.2);   /* CSS px per lamp unit */
531	  const ox = vw / 2;
532	  const oyTop = vh * 0.47 + 0.975 * S;                       /* screen y of the glass bottom */
533	  const swW = Math.max(0.46 * S, 64), swH = Math.max(0.21 * S, 30);
534	  sw.style.setProperty('--w', swW + 'px');
535	  sw.style.setProperty('--h', swH + 'px');
536	  sw.style.left = (ox - swW / 2) + 'px';
537	  sw.style.top = (oyTop + 0.60 * S - swH / 2) + 'px';
538	  if (gl) {
539	    gl.viewport(0, 0, cw, ch);
540	    gl.uniform2f(U.uRes, cw, ch);
541	    gl.uniform3f(U.uView, ox * dpr, (vh - oyTop) * dpr, S * dpr);
542	  }
543	}
544	
545	function draw() {
546	  const n = Math.min(blobs.length, 16);
547	  for (let i = 0; i < n; i++) {
548	    const b = blobs[i];
549	    blobArr[i * 4] = b.x; blobArr[i * 4 + 1] = b.y; blobArr[i * 4 + 2] = b.r; blobArr[i * 4 + 3] = b.T;
550	  }
551	  gl.uniform4fv(U.uBlobs, blobArr);
552	  gl.uniform1i(U.uCount, n);
553	  gl.uniform4f(U.uPool, pool.hl, pool.yc, pool.R, pool.T);
554	  gl.uniform1f(U.uTime, simT);
555	  gl.uniform1f(U.uLit, lit);
556	  gl.uniform1f(U.uHeat, heat);
557	  gl.drawArrays(gl.TRIANGLES, 0, 3);
558	}
559	
560	/* Frame loop. If frames keep missing 60 fps the render resolution steps down,
561	   and steps back up once things have been smooth for a while. */
562	let last = 0, cnt = 0, slow = 0, good = 0, warm = 2;
563	function frame(now) {
564	  requestAnimationFrame(frame);
565	  if (!gl) return;
566	  let dt = last ? (now - last) / 1000 : 1 / 60;
567	  last = now;
568	  if (dt > 0.1) dt = 0.1;
569	  cnt++;
570	  if (dt > 0.021) slow++;
571	  if (cnt >= 90) {
572	    if (warm > 0) warm--;
573	    else if (slow > 9) { good = 0; if (renderScale > 0.5) { renderScale = Math.max(0.5, renderScale * 0.85); layout(); } }
574	    else if (slow === 0 && renderScale < 1 && ++good >= 6) { good = 0; renderScale = Math.min(1, renderScale / 0.85); layout(); }
575	    cnt = 0; slow = 0;
576	  }
577	  const sub = dt > 0.025 ? 2 : 1;
578	  for (let i = 0; i < sub; i++) step(dt / sub);
579	  draw();
580	}
581	
582	function setOn(v) {
583	  on = v;
584	  sw.setAttribute('aria-checked', String(v));
585	  if (v) spawnT = Math.min(spawnT, 1);
586	}
587	
588	sw.addEventListener('click', () => setOn(!on));
589	addEventListener('resize', layout);
590	document.addEventListener('visibilitychange', () => { last = 0; cnt = 0; slow = 0; });
591	canvas.addEventListener('webglcontextlost', e => { e.preventDefault(); gl = null; });
592	canvas.addEventListener('webglcontextrestored', () => { try { if (initGL()) layout(); } catch (e) { gl = null; } });
593	
594	reset();
595	let ok = false;
596	try { ok = initGL(); } catch (e) { ok = false; }
597	if (ok) {
598	  layout();

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[thinking]
Found a few bugs: blobs on the hot pool cooled instead of heating, wax height spiked at blob centers causing bad normals, and growth could terminate early on zero-length frames. Fixing all three now.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "    const zone = 1 - sst(0.15, 0.65, b.y);\n    const Tenv = 0.08 + (heat - 0.08) * zone;\n    const contact = b.y - b.r < pt + 0.05;\n    const k = (contact ? 0.14 : 0.038) / Math.max(b.r, 0.05);",
  "new_string": "    const envT = 0.08 + (heat - 0.08) * (1 - sst(pt, pt + 0.5, b.y));   /* warm only just above the pool */\n    const contact = b.y - b.r < pt + 0.05;\n    const Tenv = contact ? Math.max(envT, pool.T) : envT;\n    const k = (contact ? 0.14 : 0.038) / Math.max(b.r, 0.05);"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "const H = 2.6, MAXB = 14, MMIN = 0.0022, BUOY = 0.5, DRAG = 0.6;",
  "new_string": "const H = 2.6, MAXB = 14, MMIN = 0.0022, BUOY = 0.4, DRAG = 0.6;"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

[system]
status

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "    if (blobs.length >= MAXB || b.m < 2.2 * MMIN) continue;",
  "new_string": "    if (blobs.length >= MAXB || b.m < 4 * MMIN) continue;"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

[system]
status

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "        const dx = b.x - src.x, dy = b.y - src.y, d = Math.hypot(dx, dy) + 1e-6;\n        b.vx += dx / d * 1.2 * dt; b.vy += dy / d * 1.2 * dt;\n        src.vx -= dx / d * 1.2 * dt * b.m / src.m; src.vy -= dy / d * 1.2 * dt * b.m / src.m;\n      }\n      if (b.m >= b.goal - 1e-4 || dm <= 0) { b.st = 0; b.tgt = null; }",
  "new_string": "        const dx = b.x - src.x, dy = b.y - src.y, d = Math.hypot(dx, dy) + 1e-6;\n        b.vx += dx / d * 0.7 * dt; b.vy += dy / d * 0.7 * dt;\n        src.vx -= dx / d * 0.7 * dt * b.m / src.m; src.vy -= dy / d * 0.7 * dt * b.m / src.m;\n      }\n      if (b.m >= b.goal - 1e-4 || avail <= 1e-5) { b.st = 0; b.tgt = null; }"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

[system]
status

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  let dt = last ? (now - last) / 1000 : 1 / 60;\n  last = now;\n  if (dt > 0.1) dt = 0.1;",
  "new_string": "  let dt = last ? (now - last) / 1000 : 1 / 60;\n  last = now;\n  if (!(dt > 0)) dt = 1 / 60;\n  if (dt > 0.1) dt = 0.1;"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

[system]
status

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  /* shade the wax as a rounded surface built from the field height */\n  float hgt = sqrt(max(F - 1.0, 0.0));\n  vec2 gh = G / (2.0 * hgt + 0.08);\n  vec3 n = normalize(vec3(-gh * 0.30, 1.0));",
  "new_string": "  /* shade the wax as a dome: height 0 at the iso-surface, flattening toward the centres */\n  float hgt = sqrt(max(1.0 - 1.0 / max(F, 1e-3), 0.0));\n  vec2 gh = G / (2.0 * hgt * F * F + 0.02);\n  vec3 n = normalize(vec3(-gh * 0.30, 1.0));"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  vec3 liq = mix(vec3(0.10, 0.07, 0.32), vec3(0.80, 0.33, 0.10), exp(-p.y * 1.3));\n  liq += vec3(1.0, 0.72, 0.35) * exp(-length(vec2(p.x * 1.4, p.y + 0.12)) * 2.4);",
  "new_string": "  vec3 liq = mix(vec3(0.10, 0.07, 0.32), vec3(0.45, 0.12, 0.30), exp(-p.y * 0.9));\n  liq = mix(liq, vec3(0.85, 0.35, 0.10), exp(-p.y * 2.5));\n  liq += vec3(1.0, 0.72, 0.35) * exp(-length(vec2(p.x * 1.4, p.y + 0.12)) * 2.4);"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

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[tool Read]
{
  "file_path": "[workspace]/index.html",
  "offset": 594,
  "limit": 20
}

[tool result]
594	canvas.addEventListener('webglcontextrestored', () => { try { if (initGL()) layout(); } catch (e) { gl = null; } });
595	
596	reset();
597	let ok = false;
598	try { ok = initGL(); } catch (e) { ok = false; }
599	if (ok) {
600	  layout();
601	  requestAnimationFrame(frame);
602	} else {
603	  document.getElementById('nogl').classList.add('show');
604	  sw.style.display = 'none';
605	}
606	</script>
607	</body>
608	</html>
609

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[assistant]
The file is complete at `[workspace]/index.html`. I could not run it: the shell was denied in this session, so there was no way to launch a browser or Node. I reviewed the code by reading it back and fixed three bugs that review caught, but it has not been executed, so please open it and check for a blank screen or console errors first.

**What it does**

- **Scene.** A single WebGL fragment shader draws everything: a dark wall with a warm halo, a wood desk with grain, shadow and a glow pool, a brushed-metal base with a lip and seven vent holes that glow, the teardrop glass, and the metal cap.
- **Wax.** Up to 14 blobs plus a flat pool at the bottom are rendered as metaballs. The field also yields a surface normal, so the wax is shaded as glossy domes lit from above and backlit orange by the bulb, with a faint glow halo through the liquid.
- **Physics.** Each blob has volume, temperature and velocity. Heat enters only from the pool and the liquid just above it, buoyancy follows temperature, and drag keeps motion slow. Blobs leave the pool hot, cool on the way up, stall near the top, sink, and melt back in. Bigger blobs cool slower, so they climb higher.
- **Merging and splitting.** Touching blobs attract and the smaller drains into the larger over about a second. Cooling blobs near the top and oversized ones pinch off a child that grows while the parent shrinks and is pushed away. Because mass moves gradually, the metaball surface necks and pinches instead of popping.
- **Switch.** An accessible slide toggle sits on the base. Off cuts the light within a fraction of a second, then the wax cools, sinks and pools over about 20 seconds. On relights immediately, and the pool needs around 6 seconds to warm before it pinches off the first blob.
- **Performance.** One full-screen triangle, the blob loop only runs inside the glass, pixel ratio is capped at 2, and if more than 10 percent of frames in a 1.5 second window miss 60 fps the render resolution steps down to as low as half, stepping back up after a long smooth run.
- **Phone fit.** The lamp scales to the viewport, the switch keeps a minimum 64 by 30 px target, and the page blocks pinch and double-tap zoom. The simulation pre-runs 60 seconds at load so the lamp is already flowing.

**Things to look at when you run it**

1. If nothing renders, the console will show a shader compile message from `initGL`, which is the most likely failure since I could not compile the GLSL here.
2. Rise speed, blob size and the split rate are the constants near the top of the simulation block (`BUOY`, `DRAG`, the `0.038` cooling rate, and the split rates in the events loop) if the feel needs tuning.

[result]
success, turns 17, duration 2212473 ms
The file is complete at `[workspace]/index.html`. I could not run it: the shell was denied in this session, so there was no way to launch a browser or Node. I reviewed the code by reading it back and fixed three bugs that review caught, but it has not been executed, so please open it and check for a blank screen or console errors first.

**What it does**

- **Scene.** A single WebGL fragment shader draws everything: a dark wall with a warm halo, a wood desk with grain, shadow and a glow pool, a brushed-metal base with a lip and seven vent holes that glow, the teardrop glass, and the metal cap.
- **Wax.** Up to 14 blobs plus a flat pool at the bottom are rendered as metaballs. The field also yields a surface normal, so the wax is shaded as glossy domes lit from above and backlit orange by the bulb, with a faint glow halo through the liquid.
- **Physics.** Each blob has volume, temperature and velocity. Heat enters only from the pool and the liquid just above it, buoyancy follows temperature, and drag keeps motion slow. Blobs leave the pool hot, cool on the way up, stall near the top, sink, and melt back in. Bigger blobs cool slower, so they climb higher.
- **Merging and splitting.** Touching blobs attract and the smaller drains into the larger over about a second. Cooling blobs near the top and oversized ones pinch off a child that grows while the parent shrinks and is pushed away. Because mass moves gradually, the metaball surface necks and pinches instead of popping.
- **Switch.** An accessible slide toggle sits on the base. Off cuts the light within a fraction of a second, then the wax cools, sinks and pools over about 20 seconds. On relights immediately, and the pool needs around 6 seconds to warm before it pinches off the first blob.
- **Performance.** One full-screen triangle, the blob loop only runs inside the glass, pixel ratio is capped at 2, and if more than 10 percent of frames in a 1.5 second window miss 60 fps the render resolution steps down to as low as half, stepping back up after a long smooth run.
- **Phone fit.** The lamp scales to the viewport, the switch keeps a minimum 64 by 30 px target, and the page blocks pinch and double-tap zoom. The simulation pre-runs 60 seconds at load so the lamp is already flowing.

**Things to look at when you run it**

1. If nothing renders, the console will show a shader compile message from `initGL`, which is the most likely failure since I could not compile the GLSL here.
2. Rise speed, blob size and the split rate are the constants near the top of the simulation block (`BUOY`, `DRAG`, the `0.038` cooling rate, and the split rates in the events loop) if the feel needs tuning.