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The Möbius strip : Dr. August Möbius's marvelous band in mathematics, games, literature, art, technology, and cosmology

by Pickover, Clifford A.

Format: Print Book 2006
Availability: Available at 3 Libraries 3 of 3 copies
Available (3)
Location Collection Call #
CLP - Main Library Second Floor - Non-fiction QA609.P53 2006
Location  CLP - Main Library
 
Collection  Second Floor - Non-fiction
 
Call Number  QA609.P53 2006
 
 
Mt. Lebanon Public Library Non-Fiction 514 P51
Location  Mt. Lebanon Public Library
 
Collection  Non-Fiction
 
Call Number  514 P51
 
 
Penn Hills Library Non-Fiction 510.943 PIC
Location  Penn Hills Library
 
Collection  Non-Fiction
 
Call Number  510.943 PIC
 
 
Summary
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.
Contents
Möbius limericks to get you in the mood
Introduction
Möbius magicians
Knots, civilization, autism, and the collapse of sidedness
A brief history of Möbius 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
Solutions
References and appendix
Readings by chapter
About the author.

Published Reviews
Booklist Review: "Limericks, equations, quotations, patent drawings--anything pertaining to Pickover's fascination with the Mobius strip finds a place in this entertaining scrapbook of a tome. That includes biographical vignettes of nineteenth--century German mathematician August Mobius, plus cartoons of the same, which weave through Pickover's musings over the protean manifestations of the Mobius strip. The simplicity of the strip, which is formally known as a one-sided surface without identifiable direction, is a source of its ubiquity in popular awareness and parlance. Touching on plot summaries of movies and sf novels that play off the loopy continuum of the Mobius strip, Pickover underscores the high approval rating of the strip by inventors and mathematicians, for whom it is a gateway to higher dimensional space. A prolific popularizer of mathematics, Pickover is not purely an impresario here, as he delves into the strip's mathematical expression in trigonometry and complex numbers. Full of amusement and curiosity, Pickover's eclectic book should absorb the numbers set. --Gilbert Taylor Copyright 2006 Booklist"
From Booklist, Copyright (c) American Library Association. Used with permission.
Publisher's Weekly Review: "The Mobius band is a puzzlingly twisted strip of paper joined at the ends with, remarkably, only one side. It was discovered separately in 1858 by German mathematicians August Ferdinand Mobius and Johann Benedict Listing. As Pickover (Calculus and Pizza), a prolific science author and former Discover columnist, tells us, today Mobius's strip is everywhere: it forms the familiar recycling symbol; freestyle skiers attempt a stunt called a "Mobius flip"; and it appears in the works of artists like M.C. Escher and writers like Arthur C. Clarke. Pickover uses the strip as a jumping-off point for a wide-ranging exploration of objects that are "chiral" (objects that are mirror images yet cannot be superimposed on each other) or have unusual properties of continuity. His travels take us from Earth, where he describes patented contraptions that incorporate the strip (a conveyor belt being one of the most successful), to the outer reaches of space, explaining some very strange topologies that have been theorized for the universe. Pickover is less successful in his forays into literature and the arts, and at times he wanders far afield. Readers who enjoy recreational mathematics a la Martin Gardner will get much pleasure from this inviting book. B&w illus. (May) (c) Copyright PWxyz, LLC. All rights reserved"
(c) Copyright PWxyz, LLC. All rights reserved
Additional Information
Subjects Möbius, August Ferdinand, -- 1790-1868.
Conformal geometry.
Mathematics -- Social aspects.
Publisher New York :Thunder's Mouth Press :2006
Distributed by Publishers Group West,
Language English
Description xxiii, 244 pages : illustrations ; 22 cm
Bibliography Notes Includes bibliographical references (pages 217-237) and index.
ISBN 1560258268 :
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