  In this work we construct traversable wormholes geometries in the framework
of the complexity factor. We provide the redshift function of a Casimir
traversable wormhole which, in combination with a non--vanishing complexity
factor, leads to a traversable wormhole with a minimum amount of exotic matter.
The shape function and the embedding diagram are shown and discussed. The tidal
accelerations and the time required to get through the wormholes are estimated.
