Python code for the animation of a cubic dipole cluster

A cubic dipole cluster has a degenerate ground state with a continuum of solutions, which can be experimentally realized with spherical magnets [1]. With this animation, one can step through the one-parameter family of ground state solutions, and watch the ensuing field in a number of projections. These cubic dipole clusters are reminiscent of dotriacontapoles, in the sense that their field falls off with the 7th power, and their interaction force falls off with the remarkable 12th power. The second part of the animation shows that this law is independent of the ground state orientation. The prefactor changes, however, and might even change sign. [1] “Assembly of eight spherical magnets into a dotriacontapole configuration” by Stefan Hartung, Felix Sommer, Simeon Völkel, Johannes Schönke, and Ingo Rehberg, Phys. Rev. B 98, 214424, and Refs. cited therein.Version 1.1 is organized based on an updated cluster module