Disclosed is a system for preparing a dental appliance for a dental patient by using a computer with a program that includes a digital dental articulator apparatus. The system creates a digital model of the patient’s upper and lower teeth. Then the system uses a computer for digitally mounting the model in the digital dental articulator. The guiding surfaces of the patient’s temporomandibular joints by using wear surfaces between the patient’s upper and lower teeth is calculated using Eric’s rim. A dental appliance is prepared by using the calculated guiding surface.