2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110322The snake charmer algorithm permits us to deform a piecewise smooth curve starting from the origin in R^d, so that its end follows a given path. When this path is a loop, a holonomy phenomenon occurs. We prove that the holonomy orbits are closed manifolds diffeomorphic to real Stiefel manifolds. A survey of the snake charmer algorithm is given in the paper.15 pages, 4 figuresDifferential GeometryDynamical Systems53C29; 58D15; 58D19; 58B99; 68T40text