2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94982We study how the length and the twisting parameter of a curve change along a Teichmuller geodesic. We then use our results to provide a formula for the Teichmuller distance between two hyperbolic metrics on a surface, in terms of the combinatorial complexity of curves of bounded lengths in these two metrics.21 pagesGeometric Topologytext