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The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology

16 customer reviews
ISBN-13: 978-1560259527
ISBN-10: 1560259523
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Product Details

  • Paperback: 268 pages
  • Publisher: Basic Books (January 9, 2007)
  • Language: English
  • ISBN-10: 1560259523
  • ISBN-13: 978-1560259527
  • Product Dimensions: 5.5 x 0.6 x 8.2 inches
  • Shipping Weight: 7.2 ounces (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (16 customer reviews)
  • Amazon Best Sellers Rank: #1,066,419 in Books (See Top 100 in Books)
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By Dennis T Pymm on December 15, 2014
Format: Hardcover Verified Purchase
Product is well made and arrived quickly from shipper.
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By DonB! on January 31, 2014
Format: Paperback Verified Purchase
Being a math geek, I enjoyed this book for most parts. The various ways that a Mobius Strip appears in nature and mathematics was more than I knew.

I withheld one star just because some parts got almost "tech-manual" difficult to comprehend, but overall I would recommend this book without a hesitation.
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By J. S. K. on February 20, 2015
Format: Paperback Verified Purchase
A bit technical but great fun to read. It opens your eyes to so many examples of the "twisted ribbons" and convoluted stories around us.
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By Kenneth A. Perko, Jr. on October 2, 2014
Format: Hardcover Verified Purchase
A dream come true for this former teenage topologist.
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11 of 12 people found the following review helpful By Ray Erskins on June 11, 2006
Format: Hardcover Verified Purchase
Permit me to rave about "The Mobius Strip." Then buy it, read it, and enjoy its many flavors. Math buffs will find it as mouth-watering as a bowl of Ben and Jerry's ice cream. The aesthetically inclined will be delighted by its initial simplicity and the helpful illustrations that enable them (and me) to grasp the book's mathematical profundities.

Always the entertainer, Cliff Pickover takes the stage with "Mobius Limericks to Get You in the Mood." Soon after we see a photo (by Paul Mobius) of his father's skull with Beethoven's skull grinning in the foreground. Shades of P.T. Barnum! And this is only the introduction!

Although the ideas in the book are presented with exceptional clarity and treated with utmost respect by the author, he does reveal his dry sense of humor upon occasion. Here is one of my favorite nuggets on page 11:

"One of the most mystifying Mobius arrangements is the sandwich Mobius strip, created with just two strips of paper. I have known people to ponder this for hours while listening to Pink Floyd without ever fully appreciating what they have beheld."

This gives you some idea of what's in store for the perceptive reader. The book swiftly advances beyond parlor tricks, toys, patented inventions, sailor's knots, the Book of Kells, and other amazing items until we find ourselves soaring into the realm of transcendental reality. One gets the feeling that the Mobius strip is the skeleton key to infinity. But then, so is the Klein bottle. So is Alexander's horned sphere. So is the Penrose triangle. So is M.C. Escher's art! The book is filled with these enigmatic jewels of understanding.
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26 of 26 people found the following review helpful By Paul Moskowitz on April 18, 2006
Format: Hardcover
The Mobius strip, the object, is itself seemingly simple. To make one is easy: take a strip of paper, give one end a half twist, and join the two ends together. The result is a loop with remarkable properties. It has only one edge and only one side. There is also a three-dimensional analog of the Mobius strip, the Klein bottle. It has only one surface. Any liquid placed in a Klein bottle coffee mug is both inside and outside the mug at the same time, as is everything in the Universe.

The Mobius Strip, the book, explores the properties of the Mobius strip as well as other topological topics, knots, higher dimensional objects, and stories and films in which space-time is looped. Pickover details the life of August Mobius and his scientific accomplishments. Interestingly, Mobius's work on the strip named for him was not published until after his death. Far from being just a mathematical curiosity, the Mobius strip is the basis for many inventions. Each chapter in the book starts with a diagram taken from a United States patent that uses the strip in some manner.

Pickover injects his own imaginative take on the meaning of the strip. For example, he supposes a town in which the bicycle path takes you around a Mobius route in such a way that you return to the start with your left and right sides reversed. It takes two trips around the path for you to get back to the way you were when you started, Interestingly, the spin-1/2 sub-nuclear particles share this characteristic. Perhaps electrons and protons are very small Mobius strips.

In this volume, the author builds upon his previous mathematical works,
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0 of 2 people found the following review helpful By D.A.Beirne on November 3, 2011
Format: Paperback Verified Purchase
Not a math geek, didn't know anything about this area but wanted to learn something new. I have, interesting book.
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By elizabeth newhall on April 29, 2015
Format: Hardcover Verified Purchase
Received in great condition....a fun and interesting read!
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The Möbius Strip: Dr. August Möbius's Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology
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