Leonard Mlodinow leads us on a delightful journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of Hyperspace. His narrative takes the form of biographical stories, each about the key figures inthe development of geometry, from Euclid to Albert Einstein to the scientists of today. Here is an altogther refreshing and alternative history of math, revealing how simple questions anyone might ask about space - in the living room or some other galaxy - have been the hidden engines of the highest achievements in science and technology.