Finalized Algorithm
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Added final descriptions and polished the system
This commit is contained in:
2026-02-21 12:25:07 +01:00
parent 34148aade2
commit 24d6d9cdbe
9 changed files with 141 additions and 25 deletions

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@@ -422,7 +422,20 @@
"L1_LENGTH": "Length L1",
"L2_LENGTH": "Length L2",
"M1_MASS": "Mass M1",
"M2_MASS": "Mass M2"
"M2_MASS": "Mass M2",
"POKE_M1": "Poke M1",
"POKE_M2": "Poke M2",
"RESET": "Reset",
"EXPLANATION": {
"TITLE": "Chaos Theory: The Double Pendulum",
"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.",
"DISCLAIMER": "This WebGPU simulation calculates the motion and acceleration equations of the pendulum 60 times per second in real-time. The following characteristics apply:",
"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.",
"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.",
"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.",
"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.",
"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."
}
},
"ALGORITHM": {
"TITLE": "Algorithms",
@@ -451,8 +464,8 @@
"DESCRIPTION": "3D Visualisation of complex geometric patterns that resemble each other on increasingly smaller scales (self-similarity)."
},
"PENDULUM": {
"TITLE": "Pendulum",
"DESCRIPTION": "Just a test atm."
"TITLE": "Double pendulum",
"DESCRIPTION": "Visualisation of a chaotic double pendulum simulation with WebGPU."
},
"NOTE": "Note",
"GRID_HEIGHT": "Height",