A MATHEMATICAL MODELLING FOR AN OPTIMIZED DESIGN OF A BALL COVER

摘要

This paper refers to the mathematical study and structural analysis for a ball cover comprising a plurality of joined panels, wherein the arrangement of the panels results in a ball showing optimal roundness and sphericity factors with respect to the so called "bucky-ball". From an initial design, we define a process of readjustment of the panels in the ball cover, which will lead us to obtain optimal sphericity factors. Then, through a "twisting" process, we can add area to the surface without much altering the sphericity factors. Finally, by redefining the form of the panels, we propose a tessellate strategy that redesigns the ball's spherical structure.