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Browse files- about.html +90 -0
- index.html +139 -36
about.html
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| 1 |
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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>About - QuantumPrimeSync</title>
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<link rel="icon" type="image/x-icon" href="/static/favicon.ico">
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<script src="https://cdn.tailwindcss.com"></script>
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<script src="https://cdn.jsdelivr.net/npm/feather-icons/dist/feather.min.js"></script>
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<script src="https://unpkg.com/feather-icons"></script>
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</head>
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<body class="bg-gray-900 text-white">
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<!-- Header -->
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<header class="bg-gray-800 py-6">
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<div class="container mx-auto px-4">
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<div class="flex justify-between items-center">
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<h1 class="text-3xl font-bold text-purple-400">QuantumPrimeSync</h1>
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<nav>
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<ul class="flex space-x-6">
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<li><a href="index.html" class="hover:text-purple-400 transition-colors">Home</a></li>
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<li><a href="about.html" class="text-purple-400">About</a></li>
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</ul>
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</nav>
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</div>
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</div>
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</header>
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<!-- Main Content -->
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<main class="container mx-auto px-4 py-12">
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<div class="max-w-3xl mx-auto">
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<h1 class="text-4xl font-bold mb-8 text-center">About QuantumPrimeSync</h1>
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<div class="bg-gray-800 rounded-xl p-8 mb-8">
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<h2 class="text-2xl font-semibold mb-4 text-purple-300">Concept</h2>
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<p class="mb-4">
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QuantumPrimeSync is a mesmerizing particle simulation that explores the harmony between mathematics and physics.
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Each particle represents a number with unique properties, creating a visual representation of mathematical relationships.
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</p>
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<p class="mb-4">
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The simulation demonstrates how particles with shared prime factors naturally attract to each other, forming
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clusters and patterns that mirror the fundamental structure of numbers.
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</p>
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</div>
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<div class="bg-gray-800 rounded-xl p-8 mb-8">
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<h2 class="text-2xl font-semibold mb-4 text-purple-300">How It Works</h2>
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<ul class="list-disc pl-6 space-y-2 mb-4">
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<li>Each particle has a unique value between 2 and 100</li>
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<li>Particles calculate their prime factors upon creation</li>
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<li>Particles with shared prime factors experience attraction</li>
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<li>The strength of attraction increases with more shared factors</li>
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<li>Particle phase affects attraction/repulsion behavior</li>
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</ul>
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<p>
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The visualization creates beautiful emergent patterns as particles form clusters based on their mathematical relationships.
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</p>
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</div>
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<div class="bg-gray-800 rounded-xl p-8">
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<h2 class="text-2xl font-semibold mb-4 text-purple-300">Controls</h2>
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<div class="grid grid-cols-1 md:grid-cols-3 gap-6">
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<div class="bg-gray-700 p-4 rounded-lg">
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<h3 class="font-semibold mb-2">Distance Settings</h3>
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<p class="text-sm">Adjust min/max distances to control interaction range</p>
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</div>
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<div class="bg-gray-700 p-4 rounded-lg">
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<h3 class="font-semibold mb-2">Force Control</h3>
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<p class="text-sm">Modify attraction/repulsion strength</p>
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</div>
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<div class="bg-gray-700 p-4 rounded-lg">
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<h3 class="font-semibold mb-2">Particle Interaction</h3>
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<p class="text-sm">Click anywhere to add new particles</p>
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</div>
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</div>
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</div>
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</div>
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</main>
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<!-- Footer -->
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<footer class="bg-gray-800 py-8 mt-12">
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<div class="container mx-auto px-4 text-center">
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<p>QuantumPrimeSync © 2023 - A Mathematical Visualization</p>
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</div>
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</footer>
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<script>
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feather.replace();
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</script>
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</body>
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</html>
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index.html
CHANGED
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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>QuantumPrimeSync: Particle Harmony Nexus</title>
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<link rel="icon" type="image/x-icon" href="/static/favicon.ico">
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<script src="https://cdn.tailwindcss.com"></script>
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<script src="https://cdn.jsdelivr.net/npm/feather-icons/dist/feather.min.js"></script>
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<script src="https://unpkg.com/feather-icons"></script>
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</head>
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<body class="bg-gray-900 text-white overflow-hidden">
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<div class="container mx-auto px-4 py-6">
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<div class="flex flex-col md:flex-row justify-between items-center">
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<
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<
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<div class="flex items-center space-x-2">
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<span class="text-sm">Particles: <span id="particleCount" class="font-mono">0</span></span>
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<button id="addParticle" class="bg-purple-600 hover:bg-purple-700 px-3 py-1 rounded-lg text-sm transition-colors">
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<i data-feather="plus"></i>
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</button>
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</div>
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<button id="reset" class="bg-red-600 hover:bg-red-700 px-4 py-2 rounded-lg text-sm transition-colors">
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<i data-feather="refresh-cw" class="w-4 h-4"></i> Reset
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</button>
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</div>
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</div>
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</div>
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</div>
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<canvas id="particleCanvas" class="w-full h-screen"></canvas>
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<div class="container mx-auto px-4 py-6">
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<div class="bg-gray-800 bg-opacity-80 backdrop-blur-sm rounded-xl p-6 max-w-md">
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<h2 class="text-xl font-semibold mb-4 text-purple-300">
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<div class="space-y-4">
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<div>
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<label class="block text-sm font-medium mb-2">Minimum Distance</label>
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<input type="range" id="minDist" min="10" max="200" value="50" class="w-full accent-purple-500">
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<
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</div>
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<div>
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<label class="block text-sm font-medium mb-2">Maximum Distance</label>
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<input type="range" id="maxDist" min="100" max="500" value="300" class="w-full accent-purple-500">
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<
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</div>
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<div>
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<label class="block text-sm font-medium mb-2">Attraction Force</label>
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<input type="range" id="force" min="0.1" max="2" step="0.1" value="0.5" class="w-full accent-purple-500">
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</div>
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</div>
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<div class="mt-4 p-3 bg-gray-700 rounded-lg">
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<p class="text-sm text-gray-300">Particles have values (2-100) and attract based on shared prime factors!</p>
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</div>
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</div>
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</div>
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</div>
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resizeCanvas();
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window.addEventListener('resize', resizeCanvas);
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// Particle system
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class Particle {
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constructor(x, y) {
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this.y = y || Math.random() * canvas.height;
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this.vx = (Math.random() - 0.5) * 2;
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this.vy = (Math.random() - 0.5) * 2;
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this.radius = 4;
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this.phase = Math.
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this.hue = (this.phase / (2 * Math.PI)) * 360;
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}
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update(particles, minDist, maxDist, force) {
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// Apply phase influence from nearby particles
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let totalPhase = 0;
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if (distance > 0 && distance < maxDist) {
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// Phase-based force
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let phaseForce = 0;
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if (this.phase
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phaseForce = 1; // Maximum attraction
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} else if (this.phase === 2 * Math.PI) {
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phaseForce = -1; // Maximum repulsion
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} else if (this.phase < Math.PI) {
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phaseForce = 1 - (this.phase / Math.PI); // Decreasing attraction
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} else {
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phaseForce = -((this.phase - Math.PI) / Math.PI); // Increasing repulsion
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other.primeFactors.includes(factor)
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);
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if (sharedFactors.length > 0) {
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const primeAttraction = sharedFactors.length * 0.
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const primeFx = (dx / distance) * primeAttraction;
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const primeFy = (dy / distance) * primeAttraction;
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this.vx += primeFx;
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}
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}
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});
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-
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this.
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this.x += this.vx;
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this.y += this.vy;
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// Boundary collision
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if (this.x < 0 || this.x > canvas.width)
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-
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this.
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}
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draw() {
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ctx.beginPath();
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ctx.arc(this.x, this.y, this.radius, 0, 2 * Math.PI);
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ctx.fillStyle = `hsl(${this.hue}, 70%, 60%)`;
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ctx.fill();
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// Draw phase indicator
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ctx.beginPath();
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ctx.arc(this.x, this.y, this.radius +
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ctx.strokeStyle = '
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ctx.lineWidth = 1;
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ctx.stroke();
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// Draw value indicator
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ctx.fillStyle = 'white';
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ctx.font = '
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ctx.textAlign = 'center';
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ctx.textBaseline = 'middle';
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ctx.fillText(this.value, this.x, this.y);
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}
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}
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// Initialize particles
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let particles = [];
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// Animation loop
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function animate() {
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ctx.fillStyle = 'rgba(17, 24, 39, 0.1)';
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ctx.fillRect(0, 0, canvas.width, canvas.height);
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document.getElementById('force').addEventListener('input', (e) => {
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force = parseFloat(e.target.value);
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document.getElementById('forceValue').textContent = force;
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});
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function updateParticleCount() {
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</script>
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</body>
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</html>
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-
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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>QuantumPrimeSync: Particle Harmony Nexus</title>
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<link rel="icon" type="image/x-icon" href="/static/favicon.ico">
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<script src="https://cdn.tailwindcss.com"></script>
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<script src="https://cdn.jsdelivr.net/npm/feather-icons/dist/feather.min.js"></script>
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<script src="https://unpkg.com/feather-icons"></script>
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<style>
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@keyframes pulse {
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0% { opacity: 0.6; }
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50% { opacity: 1; }
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100% { opacity: 0.6; }
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}
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.pulse {
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animation: pulse 2s infinite;
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}
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.particle-trail {
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position: absolute;
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border-radius: 50%;
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pointer-events: none;
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opacity: 0.7;
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}
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</style>
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</head>
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<body class="bg-gray-900 text-white overflow-hidden">
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<!-- Header -->
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<div class="absolute top-0 left-0 w-full z-20">
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<div class="container mx-auto px-4 py-6">
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<div class="flex flex-col md:flex-row justify-between items-center">
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<div class="flex items-center mb-4 md:mb-0">
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<h1 class="text-3xl font-bold text-purple-400">QuantumPrimeSync</h1>
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| 35 |
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<span class="text-2xl ml-2">🌌</span>
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</div>
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<div class="flex items-center space-x-4">
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<div class="flex items-center space-x-2">
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<span class="text-sm">Particles: <span id="particleCount" class="font-mono">0</span></span>
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<button id="addParticle" class="bg-purple-600 hover:bg-purple-700 px-3 py-1 rounded-lg text-sm transition-colors">
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<i data-feather="plus"></i>
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</button>
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</div>
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<button id="reset" class="bg-red-600 hover:bg-red-700 px-4 py-2 rounded-lg text-sm transition-colors flex items-center">
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| 45 |
+
<i data-feather="refresh-cw" class="w-4 h-4 mr-1"></i> Reset
|
| 46 |
</button>
|
| 47 |
</div>
|
| 48 |
</div>
|
| 49 |
</div>
|
| 50 |
</div>
|
| 51 |
|
| 52 |
+
<!-- Main Canvas -->
|
| 53 |
<canvas id="particleCanvas" class="w-full h-screen"></canvas>
|
| 54 |
|
| 55 |
+
<!-- Controls Panel -->
|
| 56 |
+
<div class="absolute bottom-0 left-0 w-full z-20">
|
| 57 |
<div class="container mx-auto px-4 py-6">
|
| 58 |
+
<div class="bg-gray-800 bg-opacity-80 backdrop-blur-sm rounded-xl p-6 max-w-md mx-auto">
|
| 59 |
+
<h2 class="text-xl font-semibold mb-4 text-purple-300 flex items-center">
|
| 60 |
+
<i data-feather="settings" class="mr-2"></i> Controls
|
| 61 |
+
</h2>
|
| 62 |
<div class="space-y-4">
|
| 63 |
<div>
|
| 64 |
<label class="block text-sm font-medium mb-2">Minimum Distance</label>
|
| 65 |
<input type="range" id="minDist" min="10" max="200" value="50" class="w-full accent-purple-500">
|
| 66 |
+
<div class="flex justify-between text-xs text-gray-400">
|
| 67 |
+
<span>10</span>
|
| 68 |
+
<span id="minDistValue">50</span>
|
| 69 |
+
<span>200</span>
|
| 70 |
+
</div>
|
| 71 |
</div>
|
| 72 |
<div>
|
| 73 |
<label class="block text-sm font-medium mb-2">Maximum Distance</label>
|
| 74 |
<input type="range" id="maxDist" min="100" max="500" value="300" class="w-full accent-purple-500">
|
| 75 |
+
<div class="flex justify-between text-xs text-gray-400">
|
| 76 |
+
<span>100</span>
|
| 77 |
+
<span id="maxDistValue">300</span>
|
| 78 |
+
<span>500</span>
|
| 79 |
+
</div>
|
| 80 |
</div>
|
| 81 |
<div>
|
| 82 |
<label class="block text-sm font-medium mb-2">Attraction Force</label>
|
| 83 |
<input type="range" id="force" min="0.1" max="2" step="0.1" value="0.5" class="w-full accent-purple-500">
|
| 84 |
+
<div class="flex justify-between text-xs text-gray-400">
|
| 85 |
+
<span>0.1</span>
|
| 86 |
+
<span id="forceValue">0.5</span>
|
| 87 |
+
<span>2.0</span>
|
| 88 |
+
</div>
|
| 89 |
</div>
|
| 90 |
</div>
|
| 91 |
<div class="mt-4 p-3 bg-gray-700 rounded-lg">
|
| 92 |
<p class="text-sm text-gray-300">Particles have values (2-100) and attract based on shared prime factors!</p>
|
| 93 |
</div>
|
| 94 |
+
</div>
|
| 95 |
+
</div>
|
| 96 |
+
</div>
|
| 97 |
+
|
| 98 |
+
<!-- Info Panel -->
|
| 99 |
+
<div class="absolute top-20 right-4 z-20">
|
| 100 |
+
<div class="bg-gray-800 bg-opacity-80 backdrop-blur-sm rounded-xl p-4 max-w-xs">
|
| 101 |
+
<h3 class="text-lg font-semibold mb-2 text-purple-300">How it works</h3>
|
| 102 |
+
<ul class="text-sm text-gray-300 space-y-1">
|
| 103 |
+
<li>• Particles have unique values (2-100)</li>
|
| 104 |
+
<li>• They attract when sharing prime factors</li>
|
| 105 |
+
<li>• Phase affects attraction/repulsion</li>
|
| 106 |
+
<li>• Click anywhere to add particles</li>
|
| 107 |
+
</ul>
|
| 108 |
</div>
|
| 109 |
</div>
|
| 110 |
|
|
|
|
| 120 |
resizeCanvas();
|
| 121 |
window.addEventListener('resize', resizeCanvas);
|
| 122 |
|
| 123 |
+
// Prime factor calculation
|
| 124 |
+
function getPrimeFactors(num) {
|
| 125 |
+
const factors = [];
|
| 126 |
+
let divisor = 2;
|
| 127 |
+
while (num > 1) {
|
| 128 |
+
if (num % divisor === 0) {
|
| 129 |
+
factors.push(divisor);
|
| 130 |
+
num /= divisor;
|
| 131 |
+
} else {
|
| 132 |
+
divisor++;
|
| 133 |
+
}
|
| 134 |
+
}
|
| 135 |
+
return [...new Set(factors)]; // Unique factors only
|
| 136 |
+
}
|
| 137 |
+
|
| 138 |
// Particle system
|
| 139 |
class Particle {
|
| 140 |
constructor(x, y) {
|
|
|
|
| 142 |
this.y = y || Math.random() * canvas.height;
|
| 143 |
this.vx = (Math.random() - 0.5) * 2;
|
| 144 |
this.vy = (Math.random() - 0.5) * 2;
|
| 145 |
+
this.radius = 4 + Math.random() * 4;
|
| 146 |
+
this.phase = Math.random() * 2 * Math.PI;
|
| 147 |
this.hue = (this.phase / (2 * Math.PI)) * 360;
|
| 148 |
+
this.value = Math.floor(Math.random() * 99) + 2; // Values 2-100
|
| 149 |
+
this.primeFactors = getPrimeFactors(this.value);
|
| 150 |
+
this.trail = [];
|
| 151 |
+
this.maxTrailLength = 10;
|
| 152 |
}
|
| 153 |
+
|
| 154 |
update(particles, minDist, maxDist, force) {
|
| 155 |
// Apply phase influence from nearby particles
|
| 156 |
let totalPhase = 0;
|
|
|
|
| 189 |
if (distance > 0 && distance < maxDist) {
|
| 190 |
// Phase-based force
|
| 191 |
let phaseForce = 0;
|
| 192 |
+
if (this.phase < Math.PI) {
|
|
|
|
|
|
|
|
|
|
|
|
|
| 193 |
phaseForce = 1 - (this.phase / Math.PI); // Decreasing attraction
|
| 194 |
} else {
|
| 195 |
phaseForce = -((this.phase - Math.PI) / Math.PI); // Increasing repulsion
|
|
|
|
| 206 |
other.primeFactors.includes(factor)
|
| 207 |
);
|
| 208 |
if (sharedFactors.length > 0) {
|
| 209 |
+
const primeAttraction = sharedFactors.length * 0.05;
|
| 210 |
const primeFx = (dx / distance) * primeAttraction;
|
| 211 |
const primeFy = (dy / distance) * primeAttraction;
|
| 212 |
this.vx += primeFx;
|
|
|
|
| 215 |
}
|
| 216 |
}
|
| 217 |
});
|
| 218 |
+
|
| 219 |
+
// Update position with velocity damping
|
| 220 |
+
this.vx *= 0.98;
|
| 221 |
+
this.vy *= 0.98;
|
| 222 |
this.x += this.vx;
|
| 223 |
this.y += this.vy;
|
| 224 |
|
| 225 |
+
// Boundary collision with energy loss
|
| 226 |
+
if (this.x < 0 || this.x > canvas.width) {
|
| 227 |
+
this.vx *= -0.8;
|
| 228 |
+
this.x = Math.max(0, Math.min(canvas.width, this.x));
|
| 229 |
+
}
|
| 230 |
+
if (this.y < 0 || this.y > canvas.height) {
|
| 231 |
+
this.vy *= -0.8;
|
| 232 |
+
this.y = Math.max(0, Math.min(canvas.height, this.y));
|
| 233 |
+
}
|
| 234 |
|
| 235 |
+
// Update trail
|
| 236 |
+
this.trail.push({x: this.x, y: this.y});
|
| 237 |
+
if (this.trail.length > this.maxTrailLength) {
|
| 238 |
+
this.trail.shift();
|
| 239 |
+
}
|
| 240 |
}
|
| 241 |
+
|
| 242 |
draw() {
|
| 243 |
+
// Draw trail
|
| 244 |
+
for (let i = 0; i < this.trail.length - 1; i++) {
|
| 245 |
+
const point = this.trail[i];
|
| 246 |
+
const nextPoint = this.trail[i + 1];
|
| 247 |
+
const alpha = i / this.trail.length;
|
| 248 |
+
|
| 249 |
+
ctx.beginPath();
|
| 250 |
+
ctx.moveTo(point.x, point.y);
|
| 251 |
+
ctx.lineTo(nextPoint.x, nextPoint.y);
|
| 252 |
+
ctx.strokeStyle = `hsla(${this.hue}, 70%, 60%, ${alpha * 0.5})`;
|
| 253 |
+
ctx.lineWidth = 1;
|
| 254 |
+
ctx.stroke();
|
| 255 |
+
}
|
| 256 |
+
|
| 257 |
+
// Draw particle
|
| 258 |
ctx.beginPath();
|
| 259 |
ctx.arc(this.x, this.y, this.radius, 0, 2 * Math.PI);
|
| 260 |
ctx.fillStyle = `hsl(${this.hue}, 70%, 60%)`;
|
| 261 |
ctx.fill();
|
| 262 |
|
| 263 |
+
// Draw glow effect
|
| 264 |
+
ctx.beginPath();
|
| 265 |
+
ctx.arc(this.x, this.y, this.radius * 2, 0, 2 * Math.PI);
|
| 266 |
+
const gradient = ctx.createRadialGradient(
|
| 267 |
+
this.x, this.y, this.radius,
|
| 268 |
+
this.x, this.y, this.radius * 2
|
| 269 |
+
);
|
| 270 |
+
gradient.addColorStop(0, `hsla(${this.hue}, 70%, 60%, 0.3)`);
|
| 271 |
+
gradient.addColorStop(1, `hsla(${this.hue}, 70%, 60%, 0)`);
|
| 272 |
+
ctx.fillStyle = gradient;
|
| 273 |
+
ctx.fill();
|
| 274 |
+
|
| 275 |
// Draw phase indicator
|
| 276 |
ctx.beginPath();
|
| 277 |
+
ctx.arc(this.x, this.y, this.radius + 3, 0, this.phase, false);
|
| 278 |
+
ctx.strokeStyle = 'rgba(255, 255, 255, 0.7)';
|
| 279 |
+
ctx.lineWidth = 1.5;
|
| 280 |
ctx.stroke();
|
| 281 |
|
| 282 |
// Draw value indicator
|
| 283 |
ctx.fillStyle = 'white';
|
| 284 |
+
ctx.font = 'bold 12px Arial';
|
| 285 |
ctx.textAlign = 'center';
|
| 286 |
ctx.textBaseline = 'middle';
|
| 287 |
ctx.fillText(this.value, this.x, this.y);
|
| 288 |
}
|
| 289 |
+
}
|
| 290 |
|
| 291 |
// Initialize particles
|
| 292 |
let particles = [];
|
|
|
|
| 303 |
|
| 304 |
// Animation loop
|
| 305 |
function animate() {
|
| 306 |
+
// Fade effect for trail
|
| 307 |
ctx.fillStyle = 'rgba(17, 24, 39, 0.1)';
|
| 308 |
ctx.fillRect(0, 0, canvas.width, canvas.height);
|
| 309 |
|
|
|
|
| 342 |
|
| 343 |
document.getElementById('force').addEventListener('input', (e) => {
|
| 344 |
force = parseFloat(e.target.value);
|
| 345 |
+
document.getElementById('forceValue').textContent = force.toFixed(1);
|
| 346 |
});
|
| 347 |
|
| 348 |
function updateParticleCount() {
|
|
|
|
| 364 |
</script>
|
| 365 |
</body>
|
| 366 |
</html>
|
|
|