Interactive simulations and explanations of the counterintuitive corners of classical physics.
Spin any object around its intermediate axis and it tumbles — always. Euler's equations predict it, Dzhanibekov observed it in orbit. Explore the instability interactively.
Why does the tennis racket flip? Explore how quaternions and 4D geometry reveal that the flip is smooth in quaternion space — the saddle point emerges only when projected to 3D.
As dimensions grow, geometric intuition breaks down in measurable ways — volume concentrates in shells, spheres flatten to pancakes, and nearest neighbors blur together. The same effect is also why AI embeddings work.
How wings create lift through potential flow and circulation. Explore airfoil shapes, angle of attack, and the Kutta-Joukowski theorem with interactive 2D and 3D visualizations.