Math

Hodge Decomposition of Vector Fields on Surfaces

Interactive Hodge decomposition lab: paint tangent vector fields with the mouse on a disk / sphere / torus / double torus / Klein bottle and watch them split orthogonally into gradient (curl-free) + curl (divergence-free) + harmonic (topological) parts, X = grad f + curl psi + H, with machine-precision energy conservation and live de Rham cohomology bases