The principle of Occam’s razor loosely translates to “the simplest solution is often the best”. The author of Kinematic Geometry of Surface Machining utilizes this reductionist philosophy to provide a solution to the highly inefficient process of machining sculptured parts on multi-axis NC machines. He has developed a method to quickly calculate the necessary parameters, greatly reduce trial and error, and achieve efficient machining processes by using less input information, and in turn saving a great deal of time. This unique method will allow youto calculate optimal values for all major parameters of sculptured surface machining on multi-axis NC is.