Pickove Clifford A. The Mobius Strip: Dr. August Mobius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology

Basic Books, 2006. — 264 p. — ISBN 978-1560258261, 1560258268.The road that leads from the Möbius strip—a common-sense-defying continuous loop with only one side and one edge, made famous by the illustrations of M.C. Escher—goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller.
Come along as Pickover traces the origins of the Möbius strip from the mid-1800s, when the visionary scientist Dr. August Möbius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation.
Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Möbius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.Mobius Magicians.
Knots, Civilization, Autism, and the Collapse of Sidedness.
Mobius the Man.
Technology, Toys, Molecules, and Patents.
Strange Adventures in Topology and Beyond.
Cosmos, Reality, Transcendence.
Games, Mazes, Art, Music, and Architecture.
Literature and Movies.
A Few Final Words.