2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213922Let X be a subcomplex of the standard CW-decomposition of the n-dimensional torus. We exhibit an explicit optimal motion planning algorithm for X. This construction is used to calculate the topological complexity of complements of general position arrangements and Eilenberg-Mac Lane spaces associated to right-angled Artin groups.Results extended to arbitrary subcomplexes of tori. Results on products of even spheres addedGeometric TopologyAlgebraic Topology20F36, 52C35, 55M30text