Computing the maximum turnable state of simple parts

Machining planning is an important task which directly affects the cost of a product. Computer aided methods are increasingly being developed and used to assist in the planning task. We describe a new concept, the Maximum Turnable State of a part. The concept is intuitive and relates to an intermediate state of every turned part. By using this idea in machining planning, efficiency can be increased. We describe the concept, study the mathematical, geometrical and computational aspects of the problem and give examples.