  We carry out high-speed photometry on 20 of the shortest-period, detached
white dwarf binaries known and discover systems with eclipses, ellipsoidal
variations (due to tidal deformations of the visible white dwarf), and Doppler
beaming. All of the binaries contain low-mass white dwarfs with orbital periods
less than 4 hr. Our observations identify the first eight tidally distorted
white dwarfs, four of which are reported for the first time here, which we use
to put empirical constraints on the mass-radius relationship for extremely
low-mass (<0.30 Msun) white dwarfs. We also detect Doppler beaming in several
of these binaries, which confirms the high-amplitude radial-velocity
variability. All of these systems are strong sources of gravitational
radiation, and long-term monitoring of those that display ellipsoidal
variations can be used to detect spin-up of the tidal bulge due to orbital
decay.
