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Table of Contents

Transfer.- Recoverability.- Mathematical Theory of Transfer, I.- Mathematical Theory of Transfer, II.- Theory of Grouping.- Robot Manipulators.- Algebraic Theory of Inheritance.- Reference Frames.- Relative Motion.- Surface Primitives.- Unfolding Groups, I.- Unfolding Groups, II.- Unfolding Groups, III.- Mechanical Design and Manufacturing.- A Mathematical Theory of Architecture.- Solid Structure.- Wreath Formulation of Splines.- Wreath Formulation of Sweep Representations.- Process Grammar.- Conservation Laws of Physics.- Music.- Against the Erlanger Program.

Reviews

From the reviews: "This book is intended for a general scientifically interested audience a ] . The author develops a generative theory of shape along two principles fundamental to intelligence a" maximization of transfer and maximization of recoverability. He proceeds by using an algebraically flavoured approach characterizing features as symmetry groups while the addition of features corresponds to group extension. a ] The generative theory is used in several application areas like visual perception, robotics and computer-aided geometric design." (GA1/4nter Landsman, Zentralblatt MATH, Vol. 1012, 2003)