Batman and Robin were in Two-Face's lair, an apartment split between comfortable modern living room and medieval torture chamber, when they received an update on the Metropolis emergency from Red Tornado.
In the comics, Harvey Dent is Two-Face. Originally a stalwart ally of Batman and Commissioner Gordon, he becomes a victim of the gang war when acid is thrown in his face during the trial of a major mob boss. Underlying mental problems arise, and he sets out to destroy the underworld. He currently is one of Gotham's major crime lords, often battling for turf with the Penguin.