2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/126475The Gordian distance between two knots measures how many crossing changes are needed to transform one knot into the other. It is known that there are always infinitely many non-equivalent knots `between' a pair of knots of Gordian distance two. In this paper we prove an extreme generalisation of this fact: there are knots with arbitrarily prescribed Vassiliev invariants between every pair of knots of Gordian distance two.7 pages, 8 figuresGeometric Topology57M25text