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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>