Finalized Algorithm
Added final descriptions and polished the system
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@@ -422,7 +422,20 @@
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"L1_LENGTH": "Length L1",
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"L2_LENGTH": "Length L2",
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"M1_MASS": "Mass M1",
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"M2_MASS": "Mass M2"
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"M2_MASS": "Mass M2",
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"POKE_M1": "Poke M1",
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"POKE_M2": "Poke M2",
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"RESET": "Reset",
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"EXPLANATION": {
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"TITLE": "Chaos Theory: The Double Pendulum",
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"EXPLANATION": "The double pendulum is one of physics' most famous and fascinating examples of a dynamic system that generates 'deterministic chaos'. It simply consists of a standard pendulum with a second pendulum attached to its lower end. Although the underlying laws of classical mechanics are strictly mathematically defined, the long-term behavior of the double pendulum is absolutely unpredictable. In physics, it is considered the classic showcase object for the so-called butterfly effect.",
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"DISCLAIMER": "This WebGPU simulation calculates the motion and acceleration equations of the pendulum 60 times per second in real-time. The following characteristics apply:",
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"DISCLAIMER_1": "Extreme Sensitivity: The tiniest changes in the initial conditions (e.g., a thousandth of a degree deviation in the starting angle or mass) lead to a completely different, chaotic trajectory after just a short time.",
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"DISCLAIMER_2": "Deterministic Chaos: The movement may look completely wild and random, but it isn't. If you restart the simulation with the exact same values, the pendulum will follow 100% the same path.",
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"DISCLAIMER_3": "Numerical Integration: Since computers do not calculate time continuously but in tiny steps (dt), minute mathematical rounding errors occur in every frame. These add up over time and further influence the chaos.",
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"DISCLAIMER_4": "Energy Conservation & Friction: In a perfect physical system without resistance, the pendulum would swing forever. For a natural look, the algorithm uses an artificial damping factor that simulates air friction and eventually brings the system to a halt.",
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"DISCLAIMER_BOTTOM": "NOTE: If too many impulses are fed into the system, the simulation becomes unstable. The pendulum will then just hang down and the simulation will have to be restarted."
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}
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},
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"ALGORITHM": {
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"TITLE": "Algorithms",
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@@ -451,8 +464,8 @@
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"DESCRIPTION": "3D Visualisation of complex geometric patterns that resemble each other on increasingly smaller scales (self-similarity)."
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},
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"PENDULUM": {
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"TITLE": "Pendulum",
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"DESCRIPTION": "Just a test atm."
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"TITLE": "Double pendulum",
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"DESCRIPTION": "Visualisation of a chaotic double pendulum simulation with WebGPU."
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},
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"NOTE": "Note",
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"GRID_HEIGHT": "Height",
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