The origin and possible manifestations of time-reversal symmetry (T) violation in Nature are only poorly understood.  Theories of physics beyond the standard model generally include new T (or CP) violating couplings; the large asymmetry of baryonic matter and anti-matter in the universe appears to require more T-violation than we have observed.  With these motivations we have developed an experiment to measure the T-violating electric dipole moment of the neutron.  In this talk I will describe some of the physics techniques we use, from low temperature, to atomic, to nuclear, ultimately to the particle physics goal.  The experiment utilizes a working “fluid” of polarized, ultracold neutrons, polarized 3He and superfluid 4He at a temperature of about 0.5 K.  In contrast to earlier measurements that use the Ramsey “separated oscillatory field” technique, this allows us to measure directly, in combined magnetic and electric fields, the neutron precession frequency using the spin dependent neutron-3He capture reaction.  I will also briefly describe the state of readiness of the various experimental subsystems and plans to gradually build up a set of performance demonstrations in Europe.