title: Symmetries and color symmetries of a family of tilings with a singular point.
abstract: Tilings with a singular point are obtained by applying conformal maps on regular tilings of the Euclidean plane and their symmetries are determined. 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 the tiles. In addition, conditions are determined in order that the coloring of a tiling with singularity that is obtained in this manner is perfect.
authors.affiliation: Institute of Mathematics, University of the Philippines Diliman, Philippines.
authors.forename: Imogene F
authors.initials: IF
authors.lastname: Evidente
authors.affiliation: Institute of Mathematics, University of the Philippines Diliman, Philippines.
authors.forename: Rene P
authors.initials: RP
authors.lastname: Felix
authors.affiliation: Institute of Mathematics, University of the Philippines Diliman, Philippines.
authors.forename: Manuel Joseph C
authors.initials: MJ
authors.lastname: Loquias
keywords: conformal map; perfect coloring; regular tiling; symmetry group; tilings with singularity