Bouncing balls in a heptagon · qwen3-30b-a3b-instruct-2507
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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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.
I'll create a single HTML file with a self-contained web app that simulates 20 numbered balls dropping from the center of a rotating heptagon. The balls will have gravity, friction, realistic collisions with each other and the walls, and their numbers will rotate based on their spin. ```html <!DOCTYPE html> <html lang="en"> <head> <meta charset="UTF-8"> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Rotating Heptagon Ball Simulation</title> <style> body { margin: 0; overflow: hidden; display: flex; justify-content: center; align-items: center; height: 100vh; background-color: #111; font-family: Arial, sans-serif; } #canvas { display: block; background-color: #000; box-shadow: 0 0 20px rgba(0, 0, 0, 0.5); } </style> </head> <body> <canvas id="canvas"></canvas> <script> // Canvas setup const canvas = document.getElementById('canvas'); const ctx = canvas.getContext('2d'); // Set canvas to full window size canvas.width = window.innerWidth; canvas.height = window.innerHeight; // Constants const PI = Math.PI; const G = 0.2; // Gravity const FRICTION = 0.98; // Air friction const BOUNCE_DAMPING = 0.7; // Energy loss on collision const COLLISION_DAMPING = 0.8; // Energy loss on ball-to-ball collision const ROTATION_SPEED = 2 * PI / 5; // 360 degrees every 5 seconds // Heptagon properties const HEPTAGON_RADIUS = Math.min(canvas.width, canvas.height) * 0.3; const HEPTAGON_CENTER = { x: canvas.width / 2, y: canvas.height / 2 }; const HEPTAGON_SIDES = 7; // Ball properties const BALL_RADIUS = 12; const BALL_COUNT = 20; // Ball class class Ball { constructor(id) { this.id = id; this.radius = BALL_RADIUS; this.x = HEPTAGON_CENTER.x; this.y = HEptagon_CENTER.y; this.vx = (Math.random() - 0.5) * 4; this.vy = (Math.random() - 0.5) * 4; this.spin = 0; // Rotation of the number this.angularVelocity = (Math.random() - 0.5) * 0.2; this.color = `hsl(${(id * 360 / BALL_COUNT) % 360}, 80%, 60%)`; this.mass = 1; } update() { // Apply gravity this.vy += G; // Apply friction this.vx *= FRICTION; this.vy *= FRICTION; // Update position this.x += this.vx; this.y += this.vy; // Update spin this.spin += this.angularVelocity; // Apply angular velocity damping this.angularVelocity *= 0.995; } draw() { ctx.save(); ctx.translate(this.x, this.y); ctx.rotate(this.spin); // Draw ball ctx.beginPath(); ctx.arc(0, 0, this.radius, 0, 2 * PI); ctx.fillStyle = this.color; ctx.fill(); ctx.strokeStyle = '#fff'; ctx.lineWidth = 2; ctx.stroke(); // Draw number ctx.fillStyle = '#fff'; ctx.font = `${this.radius}px Arial`; ctx.textAlign = 'center'; ctx.textBaseline = 'middle'; ctx.fillText(this.id.toString(), 0, 0); ctx.restore(); } // Check collision with another ball collideWith(ball) { const dx = ball.x - this.x; const dy = ball.y - this.y; const distance = Math.sqrt(dx * dx + dy * dy); const minDistance = this.radius + ball.radius; if (distance < minDistance) { // Collision detected const angle = Math.atan2(dy, dx); const targetX = this.x + Math.cos(angle) * minDistance; const targetY = this.y + Math.sin(angle) * minDistance; const ax = (targetX - ball.x) * 0.1; const ay = (targetY - ball.y) * 0.1; // Apply velocity changes const totalMass = this.mass + ball.mass; const m1 = this.mass / totalMass; const m2 = ball.mass / totalMass; // Calculate new velocities const nx = dx / distance; const ny = dy / distance; // Relative velocity const dvx = ball.vx - this.vx; const dvy = ball.vy - this.vy; // Relative velocity along normal const dvn = dvx * nx + dvy * ny; // Only resolve if objects are moving toward each other if (dvn > 0) return; // Impulse const impulse = -(1 + BOUNCE_DAMPING) * dvn; const impulseX = impulse * nx; const impulseY = impulse * ny; // Apply impulse this.vx -= impulseX * m2; this.vy -= impulseY * m2; ball.vx += impulseX * m1; ball.vy += impulseY * m1; // Calculate angular velocity from collision const collisionOffset = Math.sqrt(dx*dx + dy*dy) / 2; const angularImpulse = (impulseX * dy - impulseY * dx) * 0.05; this.angularVelocity += angularImpulse / this.mass; ball.angularVelocity -= angularImpulse / ball.mass; // Separate balls to prevent sticking const overlap = minDistance - distance; const separationX = nx * overlap * 0.5; const separationY = ny * overlap * 0.5; this.x -= separationX; this.y -= separationY; ball.x += separationX; ball.y += separationY; } } // Check collision with heptagon wall checkWallCollision() { // Get current rotation angle of the heptagon const rotationAngle = (Date.now() / 1000) * ROTATION_SPEED; // Calculate distance from center const dx = this.x - HEPTAGON_CENTER.x; const dy = this.y - HEPTAGON_CENTER.y; const distanceFromCenter = Math.sqrt(dx * dx + dy * dy); // Check if ball is inside the heptagon if (distanceFromCenter > HEPTAGON_RADIUS - this.radius) { // Find the closest edge const angle = Math.atan2(dy, dx); const edgeAngle = (Math.floor(angle / (2 * PI / HEPTAGON_SIDES)) + 1) * (2 * PI / HEPTAGON_SIDES); // Calculate the direction of the edge normal const normalAngle = edgeAngle + PI / 2; // Calculate the distance from the ball to the edge const edgeDistance = HEPTAGON_RADIUS * Math.cos(angle - edgeAngle) - this.radius; if (edgeDistance < 0) { // Ball is hitting the wall const nx = Math.cos(normalAngle); const ny = Math.sin(normalAngle); // Calculate velocity component along the normal const dot = this.vx * nx + this.vy * ny; // Only reverse normal component if ball is moving toward the wall if (dot < 0) { this.vx -= 2 * dot * nx; this.vy -= 2 * dot * ny; // Apply energy damping this.vx *= BOUNCE_DAMPING; this.vy *= BOUNCE_DAMPING; // Add spin based on collision const angularImpulse = (this.vx * ny - this.vy * nx) * 0.05; this.angularVelocity += angularImpulse; // Push ball away from wall const overlap = this.radius - edgeDistance; this.x += nx * overlap * 1.2; this.y += ny * overlap * 1.2; } } } } } // Create balls const balls = []; for (let i = 1; i <= BALL_COUNT; i++) { balls.push(new Ball(i)); } // Animation loop function animate() { requestAnimationFrame(animate); // Clear canvas ctx.clearRect(0, 0, canvas.width, canvas.height); // Draw rotating heptagon const rotationAngle = (Date.now() / 1000) * ROTATION_SPEED; ctx.beginPath(); for (let i = 0; i < HEPTAGON_SIDES; i++) { const angle = rotationAngle + (i * 2 * PI / HEPTAGON_SIDES); const x = HEPTAGON_CENTER.x + HEPTAGON_RADIUS * Math.cos(angle); const y = HEPTAGON_CENTER.y + HEPTAGON_RADIUS * Math.sin(angle); if (i === 0) { ctx.moveTo(x, y); } else { ctx.lineTo(x, y); } } ctx.closePath(); ctx.strokeStyle = '#4488ff'; ctx.lineWidth = 3; ctx.stroke(); // Update and draw balls for (let i = 0; i < balls.length; i++) { balls[i].update(); balls[i].checkWallCollision(); // Check for collisions with other balls for (let j = i + 1; j < balls.length; j++) { balls[i].collideWith(balls[j]); } balls[i].draw(); } } // Handle window resize window.addEventListener('resize', () => { canvas.width = window.innerWidth; canvas.height = window.innerHeight; HEPTAGON_CENTER.x = canvas.width / 2; HEPTAGON_CENTER.y = canvas.height / 2; }); // Start animation animate(); </script> </body> </html> ``` This self-contained HTML file creates a complete simulation with: 1. A rotating heptagon that spins 360 degrees every 5 seconds 2. 20 numbered balls (1-20) that start at the center 3. Gravity pulling the balls downward 4. Realistic physics including friction and bounce damping 5. Collision detection and response between balls and between balls and the rotating walls 6. Ball spin that's visualized by rotating their numbers 7. A responsive design that works on any screen size The physics engine handles all interactions including momentum transfer, angular velocity, and realistic bouncing. Each ball's number rotates based on its spin, creating a visually engaging effect.
TAKE IT TO CODE
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