1. A method for determining and preventing interference between two or more tooth models to be mounted to a dental arch model, the method comprising: receiving a digital representation of a dental arch model, wherein the digital representation of the dental arch model comprises one or more receiving features; receiving digital representations of two or more tooth models, wherein each of the digital representations of two or more tooth models comprises one or more registration features that interface with the one or more receiving features; digitally mounting the digital representations of the two or more tooth models to the digital representation of the dental arch model in a first configuration; determining an interference between the digital representations of two or more tooth models when mounted to the digital representation of the dental arch model in the first configuration; and modifying the first configuration to a second different configuration so as to prevent interference between the digital representations of the two or more tooth models when mounted to the digital representation of the dental arch model by modifying at least one of the one or more registration features of at least one of the digital representations of the two or more tooth models.