A method of manufacturing customized ceramic labial/lingual orthodontic brackets by additive manufacturing, said method comprising: based on dentition data of a profile of teeth of a patient, creating a three-dimensional computer-assisted design (3D CAD) model of the patient's teeth, and saving the 3D CAD model; designing a virtual 3D CAD bracket structure model for a single labial or lingual bracket structure based upon said 3D CAD model, wherein the 3D CAD bracket structure model includes: data defining a fracture wall extending around a full perimeter of a base of the bracket, wherein the fracture wall is contoured to a shape of a tooth surface of a tooth of the patient, and the fracture wall forms a cavity at the base of the bracket; and data defining a plurality of retentive structures in the cavity at the base of the bracket, wherein: each of the plurality of retentive structures is a three-dimensional figure with a positive draft angle greater than 0°; and the plurality of retentive structures are contoured to the shape of the tooth surface of the tooth of the patient; importing data related to the 3D CAD bracket structure model into an additive manufacturing machine; and directly producing the bracket with the additive manufacturing machine by layer manufacturing from an inorganic material including at least one of a ceramic, a polymer-derived ceramic, and a polymer-derived metal. based on dentition data of a profile of teeth of a patient, creating a three-dimensional computer-assisted design (3D CAD) model of the patient's teeth, and saving the 3D CAD model; designing a virtual 3D CAD bracket structure model for a single labial or lingual bracket structure based upon said 3D CAD model, wherein the 3D CAD bracket structure model includes: data defining a fracture wall extending around a full perimeter of a base of the bracket, wherein the fracture wall is contoured to a shape of a tooth surface of a tooth of the patient, and the fracture wall forms a cavity at the base of the bracket; and data defining a plurality of retentive structures in the cavity at the base of the bracket, wherein: each of the plurality of retentive structures is a three-dimensional figure with a positive draft angle greater than 0°; and the plurality of retentive structures are contoured to the shape of the tooth surface of the tooth of the patient; data defining a fracture wall extending around a full perimeter of a base of the bracket, wherein the fracture wall is contoured to a shape of a tooth surface of a tooth of the patient, and the fracture wall forms a cavity at the base of the bracket; and data defining a plurality of retentive structures in the cavity at the base of the bracket, wherein: each of the plurality of retentive structures is a three-dimensional figure with a positive draft angle greater than 0°; and the plurality of retentive structures are contoured to the shape of each of the plurality of retentive structures is a three-dimensional figure with a positive draft angle greater than 0°; and the plurality of retentive structures are contoured to the shape of the tooth surface of the tooth of the patient; importing data related to the 3D CAD bracket structure model into an additive manufacturing machine; and directly producing the bracket with the additive manufacturing machine by layer manufacturing from an inorganic material including at least one of a ceramic, a polymer-derived ceramic, and a polymer-derived metal.