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Hamiltonian Mechanics: The Geometric Engine Powering Physics Simulations

Hamiltonian Mechanics: The Geometric Engine Powering Physics Simulations

Discover how Hamiltonian mechanics transforms complex physical systems—from oscillators to relativistic particles—into elegant geometric flows on symplectic manifolds. This mathematical framework unifies Newtonian dynamics, magnetic fields, and relativity through the language of cotangent bundles and Poisson algebras.
Crafting a Physics-Driven 3D Dice Roller with Three.js and Cannon-es

Crafting a Physics-Driven 3D Dice Roller with Three.js and Cannon-es

Learn how to build an interactive 3D dice roller from scratch using Three.js for rendering and cannon-es for physics simulation. This deep dive covers custom geometry creation, collision detection, and result calculation techniques for developers seeking to master WebGL animations.