A method of placing a dental implant analog in a physical model for use in creating a dental prosthesis is provided. The physical model, which is usually based on an impression of the patient's mouth or a scan of the patient's mouth, is prepared. The model is scanned. A three-dimensional computer model of the physical model is created and is used to develop the location of the dental implant. A robot then modifies the physical model to create an opening for the implant analog. The robot then places the implant analog within the opening at the location dictated by the three-dimensional computer model.