The purpose of this book is to develop a generative theory of shape which has two properties regarded as fundamental to intelligence - maximizing transfer structure and maximize the recovery of generative operations. To handle complex shape, the group developed a new class, called the ongoing group. Key aspects of the theory is that he developed a group-theoretical formalization of object-oriented concepts like inheritance. For example, using group theory in progress, the book works in detail through the main stages of mechanical CAD / CAM: part-design, assembly and machining. In software, a new theory given their principal factor as text and class structure, object creation and modification, as well as inheritance and prediction hierarchy. In physics, new theories are given from the conservation laws, and the decomposition theorem motion in classical and quantum mechanics.