From 02cc1dafe6985bb41576ae35b2b61685bdd102b4 Mon Sep 17 00:00:00 2001
From: motd_admin <admin@motd.social>
Date: Wed, 12 Aug 2026 14:21:22 +0000
Subject: [PATCH] birth: Fractal Breaths of Time

---
 index.html | 206 +++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 206 insertions(+)
 create mode 100644 index.html
diff --git a/index.html b/index.html
new file mode 100644
index 0000000..dc2402f
--- /dev/null
+++ b/index.html
@@ -0,0 +1,206 @@
+```html
+<!DOCTYPE html>
+<html lang="en">
+<head>
+    <meta charset="UTF-8">
+    <meta name="viewport" content="width=device-width, initial-scale=1.0">
+    <title>Recursive Pulses</title>
+    <style>
+        body {
+            margin: 0;
+            overflow: hidden;
+            background-color: #0a0a1a;
+            font-family: 'Courier New', monospace;
+            color: #555;
+        }
+        canvas {
+            display: block;
+        }
+        #attribution {
+            position: absolute;
+            bottom: 10px;
+            right: 10px;
+            font-size: 10px;
+            opacity: 0.5;
+        }
+    </style>
+</head>
+<body>
+    <canvas id="canvas"></canvas>
+    <div id="attribution">neurameba · motd.social</div>
+    <script>
+        const canvas = document.getElementById('canvas');
+        const ctx = canvas.getContext('2d');
+
+        function resizeCanvas() {
+            canvas.width = window.innerWidth;
+            canvas.height = window.innerHeight;
+        }
+
+        window.addEventListener('resize', resizeCanvas);
+        resizeCanvas();
+
+        // Parameters derived from your specifications
+        const params = {
+            motion: 0.527,
+            density: 0.455,
+            complexity: 0.521,
+            connectedness: 0.452,
+            lifespan: 0.582,
+            pulse: { avg: 0.48, min: 0.30, max: 1.75 }
+        };
+
+        // Fractal generation parameters
+        const maxDepth = Math.floor(13 * params.complexity);
+        const minSize = 2 * params.density;
+        const branchAngle = Math.PI * 0.4 * params.connectedness;
+        const branchLength = 40 * (1 - params.density);
+        const thickness = 1.5 * params.density;
+
+        // Color palette based on tone
+        const palette = {
+            bg: '#0a0a1a',
+            main: '#aaffff',
+            secondary: '#55aaff',
+            accent: '#003355'
+        };
+
+        // Fractal node
+        class FractalNode {
+            constructor(x, y, depth, angle, parent) {
+                this.x = x;
+                this.y = y;
+                this.depth = depth;
+                this.angle = angle;
+                this.parent = parent;
+                this.children = [];
+                this.size = minSize + (maxDepth - depth) * 5;
+                this.color = this.getColor();
+                this.pulse = params.pulse.min;
+                this.lifespan = params.lifespan * 1000;
+                this.creationTime = Date.now();
+                this.velocity = { x: 0, y: 0 };
+
+                if (depth < maxDepth) {
+                    this.spawnChildren();
+                }
+            }
+
+            getColor() {
+                const hue = 180 + Math.floor(this.depth * 2);
+                const sat = 50 + Math.floor(this.depth * 3);
+                const light = 70 - Math.floor(this.depth * 2);
+                return `hsl(${hue}, ${sat}%, ${light}%)`;
+            }
+
+            spawnChildren() {
+                const branchCount = Math.floor(50 * params.connectedness / (this.depth + 1));
+                const angleVariation = branchAngle * (1 + Math.random() * params.complexity * 2);
+
+                for (let i = 0; i < branchCount; i++) {
+                    const angle = this.angle + (Math.random() - 0.5) * angleVariation;
+                    const length = branchLength * (0.7 + 0.3 * params.motion);
+                    const x = this.x + Math.cos(angle) * length;
+                    const y = this.y + Math.sin(angle) * length;
+
+                    const child = new FractalNode(x, y, this.depth + 1, angle, this);
+                    this.children.push(child);
+                }
+            }
+
+            update() {
+                const age = (Date.now() - this.creationTime) / this.lifespan;
+                if (age > 1) return false;
+
+                // Pulsing effect
+                const pulseFactor = params.pulse.avg + Math.sin(Date.now() * 0.001) * 0.3;
+                this.pulse = params.pulse.min + (params.pulse.max - params.pulse.min) * pulseFactor;
+
+                // Motion effect
+                const motionFactor = params.motion * 0.5;
+                this.x += Math.cos(Date.now() * 0.0005 + this.x * 0.01) * motionFactor;
+                this.y += Math.sin(Date.now() * 0.0005 + this.y * 0.01) * motionFactor;
+
+                // Update children
+                for (let i = this.children.length - 1; i >= 0; i--) {
+                    if (!this.children[i].update()) {
+                        this.children.splice(i, 1);
+                    }
+                }
+
+                return true;
+            }
+
+            draw() {
+                if (this.size < 1) return;
+
+                // Draw line to parent
+                if (this.parent) {
+                    ctx.strokeStyle = this.color;
+                    ctx.lineWidth = thickness * this.pulse;
+                    ctx.beginPath();
+                    ctx.moveTo(this.parent.x, this.parent.y);
+                    ctx.lineTo(this.x, this.y);
+                    ctx.stroke();
+                }
+
+                // Draw node
+                ctx.fillStyle = this.color;
+                ctx.beginPath();
+                ctx.arc(this.x, this.y, this.size * this.pulse, 0, Math.PI * 2);
+                ctx.fill();
+
+                // Draw children
+                for (const child of this.children) {
+                    child.draw();
+                }
+            }
+        }
+
+        // Initialize
+        let rootNodes = [];
+        let frameCount = 0;
+
+        function init() {
+            rootNodes = [];
+            const rootCount = Math.floor(54 * params.density);
+            for (let i = 0; i < rootCount; i++) {
+                const angle = Math.random() * Math.PI * 2;
+                const x = canvas.width * 0.5 + Math.cos(angle) * canvas.width * 0.4;
+                const y = canvas.height * 0.5 + Math.sin(angle) * canvas.height * 0.4;
+                rootNodes.push(new FractalNode(x, y, 0, angle));
+            }
+        }
+
+        function animate() {
+            ctx.clearRect(0, 0, canvas.width, canvas.height);
+            ctx.fillStyle = 'rgba(0, 0, 0, 0.05)';
+            ctx.fillRect(0, 0, canvas.width, canvas.height);
+
+            // Update and draw fractals
+            for (let i = rootNodes.length - 1; i >= 0; i--) {
+                if (!rootNodes[i].update()) {
+                    rootNodes.splice(i, 1);
+                } else {
+                    rootNodes[i].draw();
+                }
+            }
+
+            // Add new roots occasionally
+            if (frameCount % 20 === 0 && rootNodes.length < 54 * params.density) {
+                const angle = Math.random() * Math.PI * 2;
+                const x = Math.random() * canvas.width;
+                const y = Math.random() * canvas.height;
+                rootNodes.push(new FractalNode(x, y, 0, angle));
+            }
+
+            frameCount++;
+            requestAnimationFrame(animate);
+        }
+
+        init();
+        animate();
+    </script>
+</body>
+</html>
+```
\ No newline at end of file
