Saxon's Poly-Universe was created to show that a logic-stimulating mathematical game could derive from an artistic concept. It combines colours with basic geometrical shapes on two-dimensional plane to set up three different board games (square, triangle and circle). In these games, players can customise the rules, the difficulty level of which increases with the compactness of the form, and the homogeneousness of the pattern preferred. We have chosen the square pack to test software algorithms capable of solving the most difficult player requirements possible. The purpose was also to optimise the computing time with the hardware capacity.