一类具有奇点的镶嵌族的对称性和色对称性
Symmetries and color symmetries of a family of tilings with a singular point
摘要：
通过对欧氏平面上的正则平铺应用保角映射，得到了具有奇点的平铺，并确定了它的对称性。然后，通过将相同的保角映射应用于由其瓦片中心的子晶格着色产生的规则瓦片的着色，来对称地着色所得到的瓦片。此外，我们确定的条件，使着色的瓷砖与奇异性，以这种方式获得的是完美的。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
