Methods of making a three-dimensional object from a light polymerizable resin are described. A method may include: (a) providing a window, a light polymerizable resin, a laterally translatable substrate between said window and said resin to which said resin is adhered, and a carrier platform above said window; (b) irradiating said resin with light through said window and said translatable substrate, and vertically advancing said carrier away from said window, to produce a growing object on said carrier platform and consume resin beneath said growing object; and (c) laterally advancing said translatable substrate with said resin adhered thereto across said window to drag fresh resin beneath said growing object, continue producing said growing object and continue consuming fresh resin, until said three-dimensional object is produced.