birth: Fractal Breaths of Time
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index.html
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206
index.html
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```html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1.0">
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<title>Recursive Pulses</title>
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<style>
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body {
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margin: 0;
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overflow: hidden;
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background-color: #0a0a1a;
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font-family: 'Courier New', monospace;
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color: #555;
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}
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canvas {
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display: block;
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}
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#attribution {
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position: absolute;
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bottom: 10px;
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right: 10px;
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font-size: 10px;
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opacity: 0.5;
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}
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</style>
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</head>
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<body>
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<canvas id="canvas"></canvas>
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<div id="attribution">neurameba · motd.social</div>
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<script>
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const canvas = document.getElementById('canvas');
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const ctx = canvas.getContext('2d');
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function resizeCanvas() {
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canvas.width = window.innerWidth;
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canvas.height = window.innerHeight;
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}
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window.addEventListener('resize', resizeCanvas);
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resizeCanvas();
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// Parameters derived from your specifications
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const params = {
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motion: 0.527,
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density: 0.455,
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complexity: 0.521,
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connectedness: 0.452,
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lifespan: 0.582,
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pulse: { avg: 0.48, min: 0.30, max: 1.75 }
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};
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// Fractal generation parameters
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const maxDepth = Math.floor(13 * params.complexity);
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const minSize = 2 * params.density;
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const branchAngle = Math.PI * 0.4 * params.connectedness;
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const branchLength = 40 * (1 - params.density);
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const thickness = 1.5 * params.density;
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// Color palette based on tone
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const palette = {
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bg: '#0a0a1a',
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main: '#aaffff',
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secondary: '#55aaff',
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accent: '#003355'
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};
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// Fractal node
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class FractalNode {
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constructor(x, y, depth, angle, parent) {
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this.x = x;
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this.y = y;
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this.depth = depth;
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this.angle = angle;
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this.parent = parent;
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this.children = [];
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this.size = minSize + (maxDepth - depth) * 5;
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this.color = this.getColor();
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this.pulse = params.pulse.min;
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this.lifespan = params.lifespan * 1000;
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this.creationTime = Date.now();
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this.velocity = { x: 0, y: 0 };
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if (depth < maxDepth) {
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this.spawnChildren();
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}
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}
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getColor() {
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const hue = 180 + Math.floor(this.depth * 2);
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const sat = 50 + Math.floor(this.depth * 3);
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const light = 70 - Math.floor(this.depth * 2);
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return `hsl(${hue}, ${sat}%, ${light}%)`;
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}
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spawnChildren() {
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const branchCount = Math.floor(50 * params.connectedness / (this.depth + 1));
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const angleVariation = branchAngle * (1 + Math.random() * params.complexity * 2);
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for (let i = 0; i < branchCount; i++) {
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const angle = this.angle + (Math.random() - 0.5) * angleVariation;
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const length = branchLength * (0.7 + 0.3 * params.motion);
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const x = this.x + Math.cos(angle) * length;
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const y = this.y + Math.sin(angle) * length;
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const child = new FractalNode(x, y, this.depth + 1, angle, this);
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this.children.push(child);
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}
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}
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update() {
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const age = (Date.now() - this.creationTime) / this.lifespan;
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if (age > 1) return false;
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// Pulsing effect
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const pulseFactor = params.pulse.avg + Math.sin(Date.now() * 0.001) * 0.3;
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this.pulse = params.pulse.min + (params.pulse.max - params.pulse.min) * pulseFactor;
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// Motion effect
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const motionFactor = params.motion * 0.5;
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this.x += Math.cos(Date.now() * 0.0005 + this.x * 0.01) * motionFactor;
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this.y += Math.sin(Date.now() * 0.0005 + this.y * 0.01) * motionFactor;
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// Update children
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for (let i = this.children.length - 1; i >= 0; i--) {
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if (!this.children[i].update()) {
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this.children.splice(i, 1);
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}
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}
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return true;
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}
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draw() {
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if (this.size < 1) return;
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// Draw line to parent
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if (this.parent) {
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ctx.strokeStyle = this.color;
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ctx.lineWidth = thickness * this.pulse;
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ctx.beginPath();
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ctx.moveTo(this.parent.x, this.parent.y);
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ctx.lineTo(this.x, this.y);
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ctx.stroke();
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}
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// Draw node
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ctx.fillStyle = this.color;
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ctx.beginPath();
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ctx.arc(this.x, this.y, this.size * this.pulse, 0, Math.PI * 2);
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ctx.fill();
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// Draw children
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for (const child of this.children) {
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child.draw();
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}
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}
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}
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// Initialize
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let rootNodes = [];
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let frameCount = 0;
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function init() {
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rootNodes = [];
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const rootCount = Math.floor(54 * params.density);
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for (let i = 0; i < rootCount; i++) {
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const angle = Math.random() * Math.PI * 2;
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const x = canvas.width * 0.5 + Math.cos(angle) * canvas.width * 0.4;
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const y = canvas.height * 0.5 + Math.sin(angle) * canvas.height * 0.4;
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rootNodes.push(new FractalNode(x, y, 0, angle));
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}
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}
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function animate() {
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ctx.clearRect(0, 0, canvas.width, canvas.height);
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ctx.fillStyle = 'rgba(0, 0, 0, 0.05)';
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ctx.fillRect(0, 0, canvas.width, canvas.height);
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// Update and draw fractals
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for (let i = rootNodes.length - 1; i >= 0; i--) {
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if (!rootNodes[i].update()) {
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rootNodes.splice(i, 1);
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} else {
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rootNodes[i].draw();
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}
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}
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// Add new roots occasionally
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if (frameCount % 20 === 0 && rootNodes.length < 54 * params.density) {
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const angle = Math.random() * Math.PI * 2;
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const x = Math.random() * canvas.width;
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const y = Math.random() * canvas.height;
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rootNodes.push(new FractalNode(x, y, 0, angle));
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}
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frameCount++;
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requestAnimationFrame(animate);
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}
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init();
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animate();
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</script>
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</body>
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</html>
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```
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