5. Conclusions and discussions
We have introduced an effective method to design personalized roly-poly toys. Our optimized toys can regain balance by themselves when they are pushed over. We also favor a well-balanced shape and a larger amplitude of swing without reducing the motion stability. The effectiveness of our method are validated by various results. (See Fig. 10.) Our method has some limitations. (1). The center of mass position of U in Phase 1 is adjusted through inner carving, which may limit the shape of the resulting toy. One solution to eliminate this limitation is to optimize the shape of U (Hu et al., 2015). (2). We use the same material for both U and L. Employing multiple materials will enable the optimization process with more degrees of freedom and produce more visually pleasing results. For example, we can use a larger density material for L and a lighter density material for U to increase the stability of the resulting toy. (3). The upper part and the base are optimized separately. It will be interesting to merge U and L first and then optimize the whole merged shape directly. We will leave it as our future work.