Home▸Geometry▸Parallel Transport on a Sphere: Holonomy, Gauss-Bonnet and Foucault (2D)

🧭 Parallel Transport on a Sphere: Holonomy, Gauss-Bonnet and Foucault (2D)

Interactive 2D parallel transport on a sphere: holonomy of geodesic triangles and latitude circles, Gauss-Bonnet and spherical excess, Foucault pendulum link, with numerical checks.

Geometry2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

Parallel transport of a tangent vector around geodesic triangles and latitude circles on a sphere: holonomy equals enclosed area (Gauss-Bonnet), with Girard excess, Monte-Carlo area and RK4 checks and the Foucault link.

Parallel TransportHolonomyGauss-BonnetSpherical GeometryFoucault Pendulum

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install