title: Geometric analysis of tooth arrangement.
abstract: Based on the principles of solid geometry and projection geometry, a mathematical system can be used to indicate any positional change of tooth arrangement on a trial denture. To summarize: 1. When you move a tooth, you have to know whether you move the tooth toward the patient's left side or right side (x), upward or downward (y), anteriorly or posteriorly (z), and how many millimeters in each component dimension. If rotatory movements are involved, you must know whether the tooth rotates around the mesiodistal axis (+/-M), around the faciolingual axis (+/-F), or around the gingivo-occlusal axis (+/-G). You must know the degrees of rotation around each of the component axes and whether the movement is clockwise or counterclockwise. Most students will easily follow this systemic approach and readily understand the complexity of the problem.
mesh_terms: D003779:Denture Design; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical; D012399:Rotation; D014093:Tooth, Artificial