An anonymous Brooklyn-based LLC has filed applications for a six-story, five-unit residential building at 566 Grand Street, in Williamsburg. The project will measure 7,875 square feet and its residential units should average 1,276 square feet apiece, indicative of condominiums. There will be a duplex apartment across the ground and second floors, followed by full-floor apartments on the third through sixth floors. William A. Corcoran’s Brooklyn-based firm is the architect of record. The 25-foot-wide, 1,875-square-foot plot is occupied by a two-story building. Records indicate demolition began in January.