There has been exciting progress in recent years in the search for a permanent electric dipole moment of atoms, molecules, and the neutron. An EDM can exist only if time reversal symmetry is violated. Although such a dipole has not yet been detected, theories of possible new physics, such as Supersymmetry, predict the existence of EDMs within reach of modern experiments. In this brief introduction and survey, I discuss current and planned EDM experiments, and summarize what recent results imply about the size of possible T violating (and hence CP violating) interactions among elementary particles. ©2001 American Institute of Physics.