Geometry, Mechanics, and Control in Action for the Falling Cat

"Geometry, Mechanics, and Control in Action for the Falling Cat" is a specialized book that explores the fascinating topic of the motion dynamics of cats. It examines how cats manage to land on their feet when they fall and highlights the underlying geometric and mechanical principles. The author, Toshihiro Iwai, employs the theory of differential geometry to define the concepts of rotation and vibration in various body systems. The book provides a comprehensive analysis that transitions from many body systems to rigid bodies and ultimately to articulated rigid bodies in order to model the behavior of cats. By applying these theories, the apparent mystery of how cats orient themselves in free fall and deform their bodies to land safely is unraveled. The combination of mathematics and natural sciences makes this work a valuable resource for students and professionals interested in the mechanics of living systems.