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| <html><head><base href="https://websim.ai/c/quantumcomputing&nikolateslalab&stunningvisualsimulation&symbolicsequences"><title>Quantum Alchemy Simulator - Interactive Visualizations</title> | |
| <style> | |
| body { | |
| font-family: 'Courier New', monospace; | |
| background-color: #000; | |
| color: #00ff00; | |
| margin: 0; | |
| padding: 20px; | |
| overflow-x: hidden; | |
| } | |
| .container { | |
| max-width: 1000px; | |
| margin: 0 auto; | |
| } | |
| h1, h2 { | |
| text-align: center; | |
| color: #ff00ff; | |
| text-shadow: 0 0 10px #ff00ff; | |
| } | |
| .sim-container { | |
| background: rgba(0, 255, 0, 0.1); | |
| border: 1px solid #00ff00; | |
| border-radius: 10px; | |
| padding: 20px; | |
| margin-bottom: 30px; | |
| } | |
| .equation { | |
| font-size: 1.5em; | |
| text-align: center; | |
| margin-bottom: 15px; | |
| color: #ffff00; | |
| } | |
| .interpretation { | |
| font-style: italic; | |
| margin-bottom: 20px; | |
| } | |
| canvas { | |
| width: 100%; | |
| height: 300px; | |
| border: 1px solid #00ff00; | |
| } | |
| .controls { | |
| display: flex; | |
| justify-content: space-around; | |
| margin-top: 15px; | |
| } | |
| button { | |
| background-color: #4CAF50; | |
| border: none; | |
| color: white; | |
| padding: 15px 32px; | |
| text-align: center; | |
| text-decoration: none; | |
| display: inline-block; | |
| font-size: 16px; | |
| margin: 4px 2px; | |
| cursor: pointer; | |
| transition-duration: 0.4s; | |
| } | |
| button:hover { | |
| background-color: #45a049; | |
| } | |
| #explanation { | |
| margin-top: 20px; | |
| padding: 10px; | |
| background: rgba(255, 255, 255, 0.1); | |
| border-radius: 5px; | |
| } | |
| </style> | |
| </head> | |
| <body> | |
| <div class="container"> | |
| <h1>Quantum Alchemy Simulator</h1> | |
| <p>Explore the depths of quantum reality through interactive simulations based on advanced LLML formulations.</p> | |
| <div class="sim-container"> | |
| <h2>Simulation 1: Quantum-Cosmic Bridge</h2> | |
| <div class="equation">(√(ħc)) → Σ(Φ⊗∞) : (e/m)</div> | |
| <div class="interpretation">This simulation explores the fundamental link between quantum and cosmic scales, visualizing the accumulation of beauty and perfection in the universe.</div> | |
| <canvas id="sim1"></canvas> | |
| <div class="controls"> | |
| <button onclick="toggleSim1()">Start/Stop</button> | |
| <button onclick="adjustSim1()">Adjust Parameters</button> | |
| </div> | |
| <div id="explanation"></div> | |
| </div> | |
| <div class="sim-container"> | |
| <h2>Simulation 2: Quantum Stability-Change Dynamics</h2> | |
| <div class="equation">Ω↔(λ∇τ) : (∑ℤ∞Ψ)</div> | |
| <div class="interpretation">Visualize the constant interaction between stability and change in the universe, guided by infinite consciousness.</div> | |
| <canvas id="sim2"></canvas> | |
| <div class="controls"> | |
| <button onclick="toggleSim2()">Start/Stop</button> | |
| <button onclick="adjustSim2()">Adjust Parameters</button> | |
| </div> | |
| <div id="explanation"></div> | |
| </div> | |
| <div class="sim-container"> | |
| <h2>Simulation 3: Evolution of Quantum Elegance</h2> | |
| <div class="equation">ε(δΦ/δt) → ∫(α⊕β) : (∞ℚ)</div> | |
| <div class="interpretation">Observe the incremental yet profound evolution of natural beauty and mathematical elegance in quantum systems.</div> | |
| <canvas id="sim3"></canvas> | |
| <div class="controls"> | |
| <button onclick="toggleSim3()">Start/Stop</button> | |
| <button onclick="adjustSim3()">Adjust Parameters</button> | |
| </div> | |
| <div id="explanation"></div> | |
| </div> | |
| </div> | |
| <script> | |
| let sim1, sim2, sim3; | |
| let isRunning1 = false, isRunning2 = false, isRunning3 = false; | |
| function setupCanvas(canvasId) { | |
| const canvas = document.getElementById(canvasId); | |
| const ctx = canvas.getContext('2d'); | |
| canvas.width = canvas.offsetWidth; | |
| canvas.height = canvas.offsetHeight; | |
| return ctx; | |
| } | |
| function initSimulations() { | |
| const ctx1 = setupCanvas('sim1'); | |
| const ctx2 = setupCanvas('sim2'); | |
| const ctx3 = setupCanvas('sim3'); | |
| sim1 = { | |
| particles: [], | |
| init: function() { | |
| for (let i = 0; i < 100; i++) { | |
| this.particles.push({ | |
| x: Math.random() * ctx1.canvas.width, | |
| y: Math.random() * ctx1.canvas.height, | |
| radius: Math.random() * 3 + 1, | |
| speed: Math.random() * 2 + 0.5 | |
| }); | |
| } | |
| }, | |
| animate: function() { | |
| ctx1.clearRect(0, 0, ctx1.canvas.width, ctx1.canvas.height); | |
| for (let p of this.particles) { | |
| p.y += p.speed; | |
| if (p.y > ctx1.canvas.height) p.y = 0; | |
| ctx1.beginPath(); | |
| ctx1.arc(p.x, p.y, p.radius, 0, Math.PI * 2); | |
| ctx1.fillStyle = `rgba(255, 255, 0, ${p.radius / 4})`; | |
| ctx1.fill(); | |
| } | |
| } | |
| }; | |
| sim2 = { | |
| waves: [], | |
| init: function() { | |
| for (let i = 0; i < 3; i++) { | |
| this.waves.push({ | |
| amplitude: 50, | |
| frequency: 0.01 + i * 0.005, | |
| phase: 0 | |
| }); | |
| } | |
| }, | |
| animate: function() { | |
| ctx2.clearRect(0, 0, ctx2.canvas.width, ctx2.canvas.height); | |
| ctx2.beginPath(); | |
| for (let x = 0; x < ctx2.canvas.width; x++) { | |
| let y = ctx2.canvas.height / 2; | |
| for (let wave of this.waves) { | |
| y += Math.sin(x * wave.frequency + wave.phase) * wave.amplitude; | |
| } | |
| if (x === 0) { | |
| ctx2.moveTo(x, y); | |
| } else { | |
| ctx2.lineTo(x, y); | |
| } | |
| } | |
| ctx2.strokeStyle = '#00ff00'; | |
| ctx2.stroke(); | |
| for (let wave of this.waves) { | |
| wave.phase += 0.05; | |
| } | |
| } | |
| }; | |
| sim3 = { | |
| goldenRatio: 1.618033988749895, | |
| t: 0, | |
| animate: function() { | |
| ctx3.clearRect(0, 0, ctx3.canvas.width, ctx3.canvas.height); | |
| const centerX = ctx3.canvas.width / 2; | |
| const centerY = ctx3.canvas.height / 2; | |
| const maxRadius = Math.min(centerX, centerY) - 10; | |
| for (let i = 0; i < 10; i++) { | |
| const angle = i * this.goldenRatio * 2 * Math.PI; | |
| const x = centerX + Math.cos(angle + this.t) * (maxRadius * i / 10); | |
| const y = centerY + Math.sin(angle + this.t) * (maxRadius * i / 10); | |
| ctx3.beginPath(); | |
| ctx3.arc(x, y, 5, 0, Math.PI * 2); | |
| ctx3.fillStyle = `hsl(${i * 36}, 100%, 50%)`; | |
| ctx3.fill(); | |
| } | |
| this.t += 0.01; | |
| } | |
| }; | |
| sim1.init(); | |
| sim2.init(); | |
| } | |
| function toggleSim1() { | |
| isRunning1 = !isRunning1; | |
| if (isRunning1) animateSim1(); | |
| } | |
| function toggleSim2() { | |
| isRunning2 = !isRunning2; | |
| if (isRunning2) animateSim2(); | |
| } | |
| function toggleSim3() { | |
| isRunning3 = !isRunning3; | |
| if (isRunning3) animateSim3(); | |
| } | |
| function animateSim1() { | |
| if (!isRunning1) return; | |
| sim1.animate(); | |
| requestAnimationFrame(animateSim1); | |
| } | |
| function animateSim2() { | |
| if (!isRunning2) return; | |
| sim2.animate(); | |
| requestAnimationFrame(animateSim2); | |
| } | |
| function animateSim3() { | |
| if (!isRunning3) return; | |
| sim3.animate(); | |
| requestAnimationFrame(animateSim3); | |
| } | |
| function adjustSim1() { | |
| const newSpeed = prompt("Enter a new speed value (0.1 to 5):", "1"); | |
| if (newSpeed !== null) { | |
| const speed = parseFloat(newSpeed); | |
| if (!isNaN(speed) && speed >= 0.1 && speed <= 5) { | |
| for (let p of sim1.particles) { | |
| p.speed = Math.random() * speed + 0.1; | |
| } | |
| } | |
| } | |
| } | |
| function adjustSim2() { | |
| const newAmplitude = prompt("Enter a new amplitude value (10 to 100):", "50"); | |
| if (newAmplitude !== null) { | |
| const amplitude = parseFloat(newAmplitude); | |
| if (!isNaN(amplitude) && amplitude >= 10 && amplitude <= 100) { | |
| for (let wave of sim2.waves) { | |
| wave.amplitude = amplitude; | |
| } | |
| } | |
| } | |
| } | |
| function adjustSim3() { | |
| const newRatio = prompt("Enter a new ratio close to the golden ratio (e.g., 1.5 to 1.7):", "1.618033988749895"); | |
| if (newRatio !== null) { | |
| const ratio = parseFloat(newRatio); | |
| if (!isNaN(ratio) && ratio >= 1.5 && ratio <= 1.7) { | |
| sim3.goldenRatio = ratio; | |
| } | |
| } | |
| } | |
| window.onload = initSimulations; | |
| </script> | |
| </body></html> |