Spherical symmetries from dynamics
Examples of dynamics and spherical symmetries described in Chung & Chang in 1995. Here we reinforce the role of GeoGebra in visualization. The application of GeoGebra is too heavy to be placed on the web. I read this article and made the applications in January 2017. More details on the subject can be found at the link below.
Chung, K. W., & Chan, H. S. Y. (1995). Spherical symmetries from dynamics. Computers & Mathematics with Applications, 29(7), 67-81. https://core.ac.uk/download/pdf/82799058.pdf ( Visited in 08-01-2017)