We consider the statics and dynamics ofNidentical magnetic dipoles, with inertia, pinned at the corners of a regular polygon withNsides. We show that at equilibrium all dipoles are aligned tangent to the circumscribed circle. We find the normal modes and frequencies for oscillations about equilibrium, and discuss the dispersion relation. In the highest frequency normal mode the dipoles oscillate in phase with equal amplitudes, so no magnetic dipole radiation is emitted. In the limitN→∞,the equilibrium energy and the frequency of the symmetric mode are both related to ζ(3), where ζ is the Riemann zeta function.