On the voronoi diagrams in the Chinese checkers plane

In this study, Chinese Checkers Voronoi diagrams are constructed using Chinese Checkers middle sets and Chinese Checkers parabolas by defining Chinese Checkers middle sets in Chinese Checkers plane. The introduction of the thesis includes the history of Chinese Checkers plane and Voronoi diagrams. In the first chapter, the Voronoi diagram is given with the help of middle sets and parabolas in the Euclidean plane, using the definitions of Voronoi diagram, Delaunay triangulation and Fortune Algorithm. In the second chapter, the basic concepts of Taxi plane are given and the Voronoi diagram is given with the help of Taxi middle sets and Taxi parabolas. In the third chapter, which is the original part of the thesis, the basic concepts of the Chinese Checkers plane are given and the middle sets in the Chinese Checkers plane are calculated. Also, Voronoi diagram is constructed with the help of Chinese Checkers middle sets and Chinese Checkers parabolas. The last part of the thesis contains recommendations for the implementation of the calculations in this thesis.