A head frame apparatus is secured to a human head during maxillofacial surgery and includes devices to easily position and secure an endotracheal (breathing) tube and an anesthesia delivery circuit for the patient that reduces the likelihood that the flow of oxygen through the tube is restricted thereby reducing the risk of severe injury or death. The head frame apparatus also includes a removable reference indicator, which may be easily attached and removed while identifying a reference point of the patients face. Also the reference indicator includes a universal joint and pointer with an attached ruler. A transport apparatus positions multiple preset reference indicators and allows for preoperative transportation and removal, while protecting the preset reference indicators from inadvertent adjustment. A bendable reference indicator used in an articulator for preoperative modeling allows for easily identifying reference points in a cast model. An orbiting segment apparatus positions a portion of a cast of a jaw in relation to a condyle ball of the articulator.
