Flat maps of the cerebellum may facilitate the recognition of individual differences in cortical organization and the localization of activated foci in functional neuroimages. The convoluted surface of the cerebellar cortex is topologically equivalent to a two-dimensional sheet. Although a simply-connected curved surface cannot be flattened without introducing linear and areal distortion, the Riemann mapping theorem states that conformal (angular) information can be presereved under flattening. We will describe a novel approach for producing flat maps of the human cerebellum that attempt to preserve the conformal structure of the original surface and can be displayed in the conventional Euclidean plane, in the hyperboolic plane, and on a spherical surface.