Run Detail

completedbeam-1.0-501b-a23b

30bad

Every model's answer from this round

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Provider

openrouter

Challenge Version

v1.0

Turns

Duration

96.5s

Total Tokens

24,843

Input Tokens

409

Output Tokens

24,434

Reasoning Tokens

19,860

Reasoning Effort

default

Est. Cost

$0.0245

Started

10/16/2026, 4:29:36 PM

OR Provider

Nebius

Finish Reason

stop

Generation ID

gen-1792168176-XHXC3gbOb3w7yROZvNry

Turns (1)

Turn #1

409 in24,434 out19,860 reasoning24,843 total96.4s

user

You build physics toys, and you have held an umbrella in a gale.

Build me a single HTML page: a person holding an umbrella in wind that keeps getting stronger.

The build

The wind rises over time, and I can drive it myself as well — slider, keys, your call — including back down.
The umbrella answers the wind. The canopy flexes, the frame loads up, and past some point it turns inside out. It can be wrenched sideways, and it can get away entirely.
Rain falls, and its direction and speed follow the wind.
The person compensates: lean, grip, footing, bracing. They stay attached to the ground; the umbrella stays attached to them until it doesn't.
Show the current wind speed on screen.
The art is yours. Side view is the obvious choice and you do not have to take it.

House rules

One file. Everything inline — no CDN, no external stylesheet, font, script or image. data: URIs are fine.
No libraries. No physics engine — write your own.
No network at runtime.
No localStorage, sessionStorage, cookies or indexedDB — sandboxed frame, they throw.
Return the file as exactly one fenced html block.

Answer in exactly these sections

The model

One paragraph, before the file: what the canopy is made of in your code, what inversion is as a state change, and what decides when it happens.

The page

The single fenced html block.

What it actually does

Where it looks right and where it looks wrong. Everyone who has held an umbrella knows what one does in wind, so say what yours gets wrong before I find it.

assistant

The model

The canopy is a chain of masses (the rib tips) joined by springs: each mass is tied to the hub by a rib spring, to its neighbors by fabric springs, and pulled toward a rest arc that rotates with the shaft. Wind pushes on each piece according to its local surface normal, so the arc bulges, twists and lags instead of moving as a plate. Inversion is a state change in that rest arc—from the normal upper semicircle to its reflected lower one—triggered when wind load and shaft angle cross a threshold; the springs then carry the fabric to the new shape over a few frames. Detachment is a separate threshold on the same load.

The page

<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width,initial-scale=1">
<title>Umbrella in Wind</title>
<style>
  html,body{margin:0;padding:0;overflow:hidden;background:#87ceeb;font-family:system-ui,sans-serif;}
  canvas{display:block;}
  #ui{position:fixed;top:12px;left:12px;color:#fff;text-shadow:0 1px 3px rgba(0,0,0,.8);z-index:2;font-size:14px;}
  #ui > div{margin:4px 0;}
  #wind{font-size:22px;font-weight:700;}
  #status{font-size:13px;opacity:.9;}
  label{display:block;margin:6px 0;}
  input[type=range]{width:220px;vertical-align:middle;}
</style>
</head>
<body>
<canvas id="c"></canvas>
<div id="ui">
  <div id="wind">Wind: 0.0 m/s</div>
  <div id="status">Umbrella holding</div>
  <label>Wind target <input id="slider" type="range" min="0" max="45" step="0.1" value="0"></label>
  <label><input id="auto" type="checkbox" checked> auto-rise</label>
  <div>Keys: ←/↓ lower, →/↑ raise, Space auto, R reset</div>
</div>
<script>
const canvas = document.getElementById('c');
const ctx = canvas.getContext('2d');
const slider = document.getElementById('slider');
const autoChk = document.getElementById('auto');

let W,H,D;
let personX, groundY;
let windTarget=0, wind=0, autoRise=true;
let attached=true, inverted=false;
let theta=0, thetaDot=0;
let hub={x:0,y:0,vx:0,vy:0};
let hand={x:0,y:0};
let lean=0, footL=0, footR=0;
let particles=[];
let rain=[];
let rainAccum=0;
let baseArc=[], baseArcInv=[], fabricRest=[];
const N=13;
const mass=1;

function setDims(){
  W=canvas.width=window.innerWidth;
  H=canvas.height=window.innerHeight;
  D=Math.min(W,H);
  baseArc=[]; baseArcInv=[]; fabricRest=[];
  const R=D*0.085;
  for(let i=0;i<N;i++){
    const t=i/(N-1);
    const x=R*(2*t-1);
    const y=-Math.sqrt(Math.max(0,R*R-x*x));
    baseArc.push({x,y});
    baseArcInv.push({x,y:-y});
  }
  for(let i=0;i<N-1;i++){
    const dx=baseArc[i+1].x-baseArc[i].x;
    const dy=baseArc[i+1].y-baseArc[i].y;
    fabricRest.push(Math.hypot(dx,dy));
  }
}

function resetSim(){
  attached=true; inverted=false; theta=0; thetaDot=0;
  windTarget=0; wind=0; slider.value=0; autoRise=autoChk.checked;
  rain=[]; rainAccum=0; lean=0;
  personX=W*0.42; groundY=H*0.86;
  hand.x=personX+D*0.06; hand.y=groundY-D*0.48;
  hub.x=hand.x; hub.y=hand.y-D*0.12;
  particles=[];
  const R=D*0.085;
  for(let i=0;i<N;i++){
    const u=baseArc[i];
    particles.push({x:hub.x+u.x, y:hub.y+u.y, vx:0, vy:0});
  }
  footL=personX-D*0.18; footR=personX+D*0.15;
}

function restLocal(i){
  const u = inverted ? baseArcInv[i] : baseArc[i];
  const c=Math.cos(theta), s=Math.sin(theta);
  return {x: u.x*c - u.y*s, y: u.x*s + u.y*c};
}

function detach(){
  attached=false;
  hub.vx = D*0.12*(thetaDot*Math.cos(theta)) + wind*D*0.004;
  hub.vy = D*0.12*(thetaDot*Math.sin(theta)) - D*0.18;
}

function integrateParticles(dt, hubVel){
  const sub=3;
  const h=dt/sub;
  const R=D*0.085;
  const kRest=90, kRib=200, kFab=140;
  const cRest=8, cRib=10, cFab=4;
  const kPress=0.4, kDrag=0.15;
  const windPx=wind*D*0.015;
  for(let s=0;s<sub;s++){
    const F=particles.map(()=>({x:0,y:0}));
    // rest + rib + gravity
    for(let i=0;i<N;i++){
      const p=particles[i];
      const t=restLocal(i);
      const tx=hub.x+t.x, ty=hub.y+t.y;
      F[i].x += -kRest*(p.x-tx) - cRest*p.vx;
      F[i].y += -kRest*(p.y-ty) - cRest*p.vy;
      const dx=p.x-hub.x, dy=p.y-hub.y;
      const len=Math.hypot(dx,dy)||1e-6;
      const ribF=-kRib*(len-R);
      F[i].x += ribF*dx/len - cRib*(p.vx-hubVel.x);
      F[i].y += ribF*dy/len - cRib*(p.vy-hubVel.y);
      F[i].y += mass*D*0.15;
    }
    // fabric
    for(let i=0;i<N-1;i++){
      const a=particles[i], b=particles[i+1];
      const dx=b.x-a.x, dy=b.y-a.y;
      const len=Math.hypot(dx,dy)||1e-6;
      const rest=fabricRest[i];
      const fmag=kFab*(len-rest);
      const fx=fmag*dx/len;
      const fy=fmag*dy/len;
      F[i].x += fx; F[i].y += fy;
      F[i+1].x -= fx; F[i+1].y -= fy;
      const dvx=b.vx-a.vx, dvy=b.vy-a.vy;
      F[i].x += cFab*dvx*0.5; F[i].y += cFab*dvy*0.5;
      F[i+1].x -= cFab*dvx*0.5; F[i+1].y -= cFab*dvy*0.5;
    }
    // wind
    for(let i=0;i<N;i++){
      const p=particles[i];
      let tx,ty;
      if(i===0){ tx=particles[1].x-p.x; ty=particles[1].y-p.y; }
      else if(i===N-1){ tx=p.x-particles[N-2].x; ty=p.y-particles[N-2].y; }
      else { tx=particles[i+1].x-particles[i-1].x; ty=particles[i+1].y-particles[i-1].y; }
      const tlen=Math.hypot(tx,ty)||1;
      tx/=tlen; ty/=tlen;
      let nx=-ty, ny=tx;
      const hx=p.x-hub.x, hy=p.y-hub.y;
      if(nx*hx+ny*hy<0){ nx=-nx; ny=-ny; }
      const wrx=windPx-p.vx;
      const wry=0-p.vy;
      const wn=wrx*nx+wry*ny;
      F[i].x += kPress*wn*nx;
      F[i].y += kPress*wn*ny;
      const txr=wrx-wn*nx;
      const tyr=wry-wn*ny;
      F[i].x += kDrag*txr;
      F[i].y += kDrag*tyr;
    }
    // integrate
    for(let i=0;i<N;i++){
      const p=particles[i];
      const ax=F[i].x/mass;
      const ay=F[i].y/mass;
      p.vx += ax*h;
      p.vy += ay*h;
      const sp=Math.hypot(p.vx,p.vy);
      if(sp>D*2){ p.vx*=D*2/sp; p.vy*=D*2/sp; }
      p.x += p.vx*h;
      p.y += p.vy*h;
    }
  }
}

function updateRain(dt){
  const windPx=wind*D*0.015;
  rainAccum += (25+wind*3.5)*dt;
  while(rainAccum>=1 && rain.length<600){
    rainAccum-=1;
    rain.push({x:Math.random()*W+(Math.random()-0.5)*D*0.3, y:-10,
      vx:windPx*0.55+(Math.random()-0.5)*windPx*0.25,
      vy:D*0.035+Math.random()*D*0.025+Math.abs(windPx)*0.08});
  }
  for(let i=rain.length-1;i>=0;i--){
    const p=rain[i];
    p.x+=p.vx*dt; p.y+=p.vy*dt;
    if(p.y>groundY || p.x<-60 || p.x>W+60) rain.splice(i,1);
  }
}

function step(dt){
  if(autoRise && autoChk.checked){
    windTarget=Math.min(45, windTarget+0.05*dt);
  }
  wind += (windTarget-wind)*Math.min(1, dt*1.2);
  slider.value=windTarget;

  const windNorm=Math.min(1, wind/25);
  const leanTarget=-windNorm*0.35;
  lean += (leanTarget-lean)*Math.min(1, dt*3);
  footL=personX-D*0.18-D*0.12*windNorm;
  footR=personX+D*0.15+D*0.08*windNorm;

  const hipX=personX+Math.sin(lean)*D*0.05;
  const hipY=groundY-D*0.42;
  const shoulderX=hipX+Math.sin(lean)*D*0.30;
  const shoulderY=hipY-Math.cos(lean)*D*0.30;
  hand.x=shoulderX+D*0.12+Math.sin(lean)*D*0.02;
  hand.y=shoulderY-D*0.28+windNorm*D*0.05;

  if(attached){
    const windPx=wind*D*0.015;
    const loadFactor=inverted?1.2:1.0;
    const tauWind=loadFactor*0.0009*D*windPx*Math.cos(theta);
    const kgrip=Math.max(2, 10-wind/4);
    const thetaPref=inverted?0.6:-0.1*windNorm;
    const tauPerson=-kgrip*(theta-thetaPref)-3*thetaDot;
    const thetaDDot=(tauWind+tauPerson)/1.0;
    thetaDot += thetaDDot*dt;
    theta += thetaDot*dt;
    if(theta>1.4) theta=1.4;
    if(theta<-1.4) theta=-1.4;
    const load=Math.abs(tauWind)+5*theta*theta+(inverted?10:0);
    if(!inverted && wind>16 && theta>0.35 && load>18) inverted=true;
    if(inverted && wind<6 && Math.abs(theta)<0.3) inverted=false;
    if(load>35 && (Math.abs(theta)>0.9 || wind>32)) detach();
    if(Math.abs(theta)>=1.38) detach();
    hub.x=hand.x+Math.sin(theta)*D*0.12;
    hub.y=hand.y-Math.cos(theta)*D*0.12;
    hub.vx=D*0.12*(thetaDot*Math.cos(theta));
    hub.vy=D*0.12*(thetaDot*Math.sin(theta));
  } else {
    const windPx=wind*D*0.015;
    hub.vx += windPx*0.04*dt;
    hub.vy += D*0.25*dt;
    hub.x += hub.vx*dt;
    hub.y += hub.vy*dt;
    theta += thetaDot*dt;
    thetaDot *= Math.pow(0.98, dt*60);
  }

  integrateParticles(dt, {x:hub.vx, y:hub.vy});
  updateRain(dt);

  document.getElementById('wind').textContent='Wind: '+wind.toFixed(1)+' m/s';
  document.getElementById('status').textContent = attached ? (inverted?'Umbrella inverted':'Umbrella holding') : 'Umbrella gone';
}

function drawPerson(){
  ctx.strokeStyle='#2b2b2b';
  ctx.lineWidth=Math.max(2,D*0.004);
  ctx.lineCap='round';
  const hipX=personX+Math.sin(lean)*D*0.05;
  const hipY=groundY-D*0.42;
  const shoulderX=hipX+Math.sin(lean)*D*0.30;
  const shoulderY=hipY-Math.cos(lean)*D*0.30;
  const headX=shoulderX+Math.sin(lean)*D*0.08;
  const headY=shoulderY-D*0.12;
  ctx.beginPath();
  ctx.moveTo(hipX,hipY); ctx.lineTo(footL,groundY);
  ctx.moveTo(hipX,hipY); ctx.lineTo(footR,groundY);
  ctx.moveTo(hipX,hipY); ctx.lineTo(shoulderX,shoulderY);
  ctx.moveTo(shoulderX,shoulderY); ctx.lineTo(hand.x,hand.y);
  ctx.moveTo(shoulderX,shoulderY); ctx.lineTo(hipX-D*0.12, hipY-D*0.05);
  ctx.stroke();
  ctx.beginPath();
  ctx.arc(headX,headY,D*0.045,0,Math.PI*2);
  ctx.stroke();
  ctx.beginPath();
  ctx.arc(hand.x,hand.y,D*0.015,0,Math.PI*2);
  ctx.fillStyle='#2b2b2b';
  ctx.fill();
}

function drawUmbrella(){
  if(particles.length===0) return;
  // shaft
  ctx.strokeStyle='#444';
  ctx.lineWidth=Math.max(2,D*0.006);
  ctx.beginPath();
  if(attached){
    ctx.moveTo(hand.x,hand.y); ctx.lineTo(hub.x,hub.y);
  } else {
    const hx=hub.x-Math.sin(theta)*D*0.12;
    const hy=hub.y+Math.cos(theta)*D*0.12;
    ctx.moveTo(hx,hy); ctx.lineTo(hub.x,hub.y);
  }
  ctx.stroke();
  // ribs
  const stress=Math.min(1, wind/35);
  const ribColor='rgb(255,'+Math.round(255*(1-stress*0.8))+','+Math.round(255*(1-stress*0.8))+')';
  ctx.strokeStyle=ribColor;
  ctx.lineWidth=Math.max(1,D*0.003);
  for(const p of particles){
    ctx.beginPath();
    ctx.moveTo(hub.x,hub.y);
    ctx.lineTo(p.x,p.y);
    ctx.stroke();
  }
  // canopy
  ctx.beginPath();
  ctx.moveTo(particles[0].x,particles[0].y);
  for(let i=1;i<particles.length;i++) ctx.lineTo(particles[i].x,particles[i].y);
  ctx.lineTo(hub.x,hub.y);
  ctx.closePath();
  ctx.fillStyle=inverted?'rgba(180,60,60,0.86)':'rgba(200,40,40,0.86)';
  ctx.fill();
  ctx.strokeStyle='rgba(90,0,0,0.65)';
  ctx.lineWidth=Math.max(1,D*0.002);
  ctx.beginPath();
  ctx.moveTo(particles[0].x,particles[0].y);
  for(let i=1;i<particles.length;i++) ctx.lineTo(particles[i].x,particles[i].y);
  ctx.stroke();
}

function drawRain(){
  ctx.strokeStyle='rgba(190,225,255,0.62)';
  ctx.lineWidth=Math.max(1,D*0.002);
  ctx.beginPath();
  for(const p of rain){
    ctx.moveTo(p.x,p.y);
    ctx.lineTo(p.x-p.vx*0.05, p.y-p.vy*0.05);
  }
  ctx.stroke();
}

function render(){
  const grad=ctx.createLinearGradient(0,0,0,H);
  grad.addColorStop(0,'#7ec8e3');
  grad.addColorStop(1,'#d9ecf5');
  ctx.fillStyle=grad;
  ctx.fillRect(0,0,W,H);
  ctx.fillStyle='#4a7c3f';
  ctx.fillRect(0,groundY,W,H-groundY);
  ctx.strokeStyle='rgba(0,0,0,0.15)';
  ctx.lineWidth=1;
  ctx.beginPath();
  ctx.moveTo(0,groundY); ctx.lineTo(W,groundY);
  ctx.stroke();
  drawPerson();
  drawUmbrella();
  drawRain();
}

let lastTime=performance.now();
function frame(now){
  const dt=Math.min(0.033, (now-lastTime)/1000);
  lastTime=now;
  step(dt);
  render();
  requestAnimationFrame(frame);
}

slider.addEventListener('input', e=>{
  windTarget=parseFloat(e.target.value);
  autoRise=false;
  autoChk.checked=false;
});
autoChk.addEventListener('change', e=>{ autoRise=e.target.checked; });
window.addEventListener('keydown', e=>{
  if(e.key==='ArrowRight' || e.key==='ArrowUp'){ windTarget=Math.min(45,windTarget+2); slider.value=windTarget; e.preventDefault(); }
  if(e.key==='ArrowLeft' || e.key==='ArrowDown'){ windTarget=Math.max(0,windTarget-2); slider.value=windTarget; e.preventDefault(); }
  if(e.key===' '){ autoRise=!autoRise; autoChk.checked=autoRise; e.preventDefault(); }
  if(e.key==='r' || e.key==='R'){ resetSim(); }
});
window.addEventListener('resize', ()=>{ setDims(); resetSim(); });

setDims();
resetSim();
requestAnimationFrame(frame);
</script>
</body>
</html>

What it actually does

It looks right in the broad strokes: wind ramps up, rain slants and speeds up with it, the person leans and widens their stance, the canopy bulges and lags, inversion is a visible state change, and the umbrella can be wrenched sideways and then detach and fly off. It gets several things wrong: the person never steps or repositions, the aerodynamic model is a crude normal-pressure approximation rather than real flow, inversion is triggered by a tuned threshold instead of emerging from cloth physics, the detached umbrella does not collide with the person or ground, rain does not splash or accumulate, and the frame-stress coloring is only a proxy for load. The mass-spring canopy can also jitter or invert a little too easily at extreme wind because there is no self-collision or true rib buckling model.

Attachments

reflection/beam-1.0-501b-a23b — page