We show how to eliminate the error caused by an incorrectly modeled boundary in electrical impedance tomography (EIT). In practical EIT measurements one usually lacks the exact knowledge of the boundary. Because of this the numerical reconstruction from the measured EIT data has to be computed using a model domain that represents the best guess for the true domain. However, it has been noticed in simulations and practical experiments that the errors in the model of the boundary cause severe errors to the reconstructions. We consider the two dimensional and higher dimensional cases separately. In the two dimensional case we review recent algorithms for finding a deformed image of the original isotropic conductivity based on the theory of Teichmüller spaces. For the higher dimensional case, we compare the higher dimensional and the two dimensional results and observe that the properties of the problem change in a radical way when the dimension changes.