Bouncing balls in a heptagon · llama-3.1-8b-instruct
Show 20 numbered balls (1 to 20) dropping from the center of a heptagon that spins 360 degrees every 5 seconds. The balls are affected by gravity and friction, collide with each other, and bounce realistically off the rotating walls; show each ball's spin via the rotation of its number. Implement all collision detection yourself.
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transcript · 2 messages
Show 20 numbered balls (1 to 20) dropping from the center of a heptagon that spins 360 degrees every 5 seconds. The balls are affected by gravity and friction, collide with each other, and bounce realistically off the rotating walls; show each ball's spin via the rotation of its number. Implement all collision detection yourself.
<write>{ "content": "<html><head><title>Ball Dropping Sim</title><style>body { background-color: lightblue; margin: 0; } svg { border: 1px solid black; } .ball { fill: #666; stroke: #000; stroke-width: 2px; }</style></head><body><svg id=\"sim\" width=\"600\" height=\"600\"></svg><script>const PI = Math.PI; const deg2rad = (degrees) => degrees * PI / 180;const balls = [];const gravity = 0.1;const friction = 0.98;const heptagonVertices = [[300, 10], [300, 490], [570, 510], [510, 550], [330, 580], [130, 550], [170, 490]];const heptagonSides = heptagonVertices.slice(1).map((vertex, i) => vertex.map((val, j) => Math.hypot(heptagonVertices[i][j] - vertex[j], heptagonVertices[(i+1)%7][j] - vertex[j])));const heptagonRotation = (theta) => heptagonVertices.map(vertex => vertex.map((val, j) => Math.cos(theta + deg2rad(j)) * val + Math.sin(theta + deg2rad(j)) * heptagonVertices[0][j]));const ballRadius = 20;const heptagon = heptagonVertices.map((vertex, i) => ({ x: vertex[0], y: vertex[1], angle: deg2rad((i * 45 + 90) % 360), radius: Math.hypot(...heptagonSides[i]) }));let t = 0;const simulation = () => { requestAnimationFrame(simulation); t += 0.05; const newHeptagon = heptagon.map((vertex, i) => ({ x: vertex.x + Math.cos(vertex.angle) * Math.hypot(...heptagonSides[i]) * 0.1, y: vertex.y + Math.sin(vertex.angle) * Math.hypot(...heptagonSides[i]) * 0.1, angle: (vertex.angle + (t + i * 0.05) * 0.01) % (2 * PI), radius: Math.hypot(...heptagonSides[i]) })); heptagon = newHeptagon;balls.forEach((ball, i) => { ball.x += Math.cos(ball.angle) * ball.velocity * friction;ball.y += Math.sin(ball.angle) * ball.velocity * friction;ball.velocity *= friction; if (ball.x - ball.radius < 0 || ball.x + ball.radius > document.getElementById('sim').clientWidth) { ball.direction = (ball.direction + Math.PI) % (2 * PI); ball.velocity = Math.sqrt(ball.velocity ** 2 * (ball.direction ** 2) + gravity); } if (ball.y + ball.radius > document.getElementById('sim').clientHeight) { ball.velocity = -ball.velocity * friction * (1 - Math.abs(ball.x - document.getElementById('sim').clientWidth / 2)) / document.getElementById('sim').clientHeight; } for (const otherBall of balls) { if (i !== balls.indexOf(otherBall)) { const distance = Math.hypot(ball.x - otherBall.x, ball.y - otherBall.y); if (distance < 40) { const angle = Math.atan2(otherBall.y - ball.y, otherBall.x - ball.x); const normal = normalBetween(angle - Math.hypot(...heptagonSides[3 % 7]), ball); const dot = Math.cos(Math.hypot(...heptagonSides[3 % 7]) - angle) ** 2; const impulse = 0.0001; ball.velocity *= Math.cos(normal * impulse); otherBall.velocity *= Math.cos(normal * impulse); } } } const svg = document.getElementById('sim'); for (const ball of balls) { const ballRect = { x: (ball.x - ball.radius), y: (ball.y - ball.radius), width: (ball.radius * 2), height: (ball.radius * 2) }; if (Math.hypot(ball.x - ballRect.x - 300, ball.y - ballRect.y - 10) < ballRect.width || Math.hypot(ball.x - ballRect.x - 570, ball.y - ballRect.y - 10) < ballRect.width) { const angle = Math.hypot(...heptagonSides[(Math.floor((ballRect.x - 300) / (Math.hypot(...heptagonSides[0]))) + 7) % 7]); const normal = normalBetween(angle - Math.hypot(...heptagonSides[3 % 7]), ball); const dot = Math.cos(Math.hypot(...heptagonSides[3 % 7]) - angle) ** 2; const impulse = 0.01; ball.velocity = ball.velocity * Math.cos(normal * impulse); } const ballGroup = svg.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'g')); const circle = ballGroup.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'circle')); circle.setAttributeNS(null, 'cx', ball.x + 300); circle.setAttributeNS(null, 'cy', ball.y + 10); circle.setAttributeNS(null, 'r', ballRadius); circle.setAttributeNS(null, 'fill', '#666'); circle.setAttributeNS(null, 'stroke', '#000'); circle.setAttributeNS(null, 'stroke-width', 2); const text = ballGroup.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'text')); text.setAttributeNS(null, 'x', ball.x); text.setAttributeNS(null, 'y', ball.y - 20); text.innerHTML = String.fromCharCode(65 + i); const numberX = ball.x + Math.cos(ball.angle - Math.PI / 2) * ballRadius; const numberY = ball.y - Math.sin(ball.angle - Math.PI / 2) * ballRadius; text.setAttributeNS(null, 'transform', `rotate(${(ball.angle + Math.PI / 2) * 180 / PI} ${numberX} ${numberY})`); const ballGroupGroup = ballGroup.firstChild; text.replaceChild(text.firstChild, SVGRect.setAttributeNS(null, text.firstChild, 'x', numberY)); text.replaceChild(text.firstChild, SVGRect.setAttributeNS(null, text.firstChild, 'y', numberX)); text.replaceChild(text.firstChild, SVGRect.setAttributeNS(null, text.firstChild, 'transform', `rotate((${ball.angle - Math.PI / 2} * 180 / PI + 90) ${numberY} ${numberX})`)); }); const ballGroupText = balls.length; svg.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'text')).innerHTML = `Balls: ${String(ballGroupText)}`; for (let i = 0; i < 20; i++) { const ball = { x: 300, y: document.getElementById('sim').clientHeight + i * 5, angle: deg2rad(i * 18), velocity: Math.sqrt((i / 2) / Math.sqrt(i + 1)), direction: 0, radius: ballRadius }; const ballGroup = svg.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'g')); const circle = ballGroup.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'circle')); circle.setAttributeNS(null, 'cx', ball.x + 300); circle.setAttributeNS(null, 'cy', ball.y + 10); circle.setAttributeNS(null, 'r', ballRadius); circle.setAttributeNS(null, 'fill', '#666'); circle.setAttributeNS(null, 'stroke', '#000'); const line = ballGroup.appendChild(document.createElementNS('http://www.w3.org/2000/svg', 'line')); line.setAttributeNS(null, 'x1', 300 + ball.x); line.setAttributeNS(null, 'y1', 10 + ball.y); line.setAttributeNS(null, 'x2', line.getAttributeNS(null, 'x1') + Math.cos(ball.angle) * ball.radius); line.setAttributeNS(null, 'y2', line.getAttributeNS(null, 'y1') + Math.sin(ball.angle) * ball.radius); balls.push(ball); }); simulation();</script></body></html>" }</write> <write>{ "content": "index.html\n" }</write>
TAKE IT TO CODE
This run produced no artifact — reuse the prompt with a different model or your own pi-agent run.