Dental appliances including multiple components and a system and method for constructing the same are disclosed herein. The dental components are designed to fit together to form the dental appliance. The components of the dental appliance are electronically modeled, printed, and pressed sequentially, separately, or as a unitary piece. Forming the dental appliance from multiple components enables each component of the dental appliance to be formed from a different material, each material having different features associated with it. In various embodiments, different materials have different colors, textures, opacities, and transformation factors associated with them. Furthermore, each component can be formed from multiple components. In some other embodiments, a support structure is designed and constructed in order to minimize deformation of a dental component during fabrication of the component.