We discuss the Casimir effect for boundary conditions involving perfectelectromagnetic conductors (PEMCs). Based on the corresponding reciprocalGreen's tensor we construct the Green's tensor for two perfectly reflectingplates with magnetoelectric coupling (non-reciprocal media) within theframework of macroscopic quantum electrodynamics. We calculate the Casimirforce between two PEMC plates in terms of the PEMC parameter M and the dualitytransformation angle ${\theta}$ resulting in a universal analytic expressionthat connects the attractive Casimir force with the repulsive Boyer force. Werelate the results to the duality symmetry of electromagnetism.
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