A method of forming a three-dimensional object (17) includes: providing a carrier (18) and an optically transparent member (15) having a build surface, the carrier (18) and the build surface defining a build region therebetween; filling the build region with a polymerizable liquid (16); irradiating the build region with light (12) through the optically transparent member (15) to form a solid polymer from the polymerizable liquid; and advancing the carrier (18) away from the build surface to form the three-dimensional object (17) from the solid polymer. The carrier (18) includes at least one retain and release (34) feature that is configured to: i) retain the three-dimensional object (17) formed from the solid polymer on the carrier (18) in a first state; and ii) facilitate release of the three-dimensional object (17) formed from the solid polymer from the carrier (18) in a second state.