Detailed examples of application of the basic programs on mainframe computers to all phases of application of the system to machined engineering and medical examples.This book contains detailed examples of application of the basic programs on mainframe computers to all phases of application of the system to machined engineering and medical examples. Its successor, Computer-Aided Sculpture, presents the essentials of the system concisely with programs, and their documentation, adapted to microcomputer technology.This book contains detailed examples of application of the basic programs on mainframe computers to all phases of application of the system to machined engineering and medical examples. Its successor, Computer-Aided Sculpture, presents the essentials of the system concisely with programs, and their documentation, adapted to microcomputer technology.Duncan and Law present a concise introduction to the theory and program documentation of a powerful computer-aide general-shape machining system called POLYHEDRAL NC. POLYHEDRAL NC and its accompanying programs provide a well-proven system of IBM compatible microcomputer software for both defining graphically, and replicating by machining, piece-wise analytical and measured physical surfaces. All aspects of graphics are treated via one universal program, TRUEPERS. Machining is executed under control of either of two other general programs incorporating powerful anti-interference features. This system can reproduce accurately a wide range of complex highly variable surfaces, from human prostheses to machine dies.Preface; Acknowledgments; 1. Introduction to polyhedral concepts; 2. Designed surfaces and their theoretical bases; 3. Natural surfaces and data collection; 4. Graphical presentation; 5. Prismatic surfaces and two-and-a-half-d machining; 6. Closed polyhedra and Mercator's projection; 7. Machining algorithms; 8. Applications; Appendices; References; Index. ...a concise, readable, accessible user manual. Rel³ª