# Geodesics and Conjugate Loci on a Torus

Geodesics and Conjugate Loci on a Torus

Geodesics moving across a surface may focus due to the curvature of the surface. The set of geodesics emanating from a "base point" (the small sphere) on the surface of a torus can focus along a curve called the conjugate locus. This Demonstration explores several possible cases of conjugate loci on the standard torus.