2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63611The ropelength of a knot is the quotient of its length by its thickness. We consider a family of energy functions for knots, depending on a power p, which approach ropelength as p increases. We describe a numerically computed trefoil knot which seems to be a local minimum for ropelength; there are nearby critical points for the p-energies, which are evidently local minima for large enough p.6 pages, 2 figures, LaTeXGeometric TopologyDifferential Geometry57M25 (Primary); 49Q10, 53A04 (Secondary)Approximating Ropelength by Energy Functionstext