  We obtain tilings with a singular point by applying conformal maps on regular
tilings of the Euclidean plane, and determine its symmetries. The resulting
tilings are then symmetrically colored by applying the same conformal maps on
colorings of regular tilings arising from sublattice colorings of the centers
of its tiles. In addition, we determine conditions so that the coloring of a
tiling with singularity that is obtained in this manner is perfect.
