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Crocheting Adventures with Hyperbolic Planes by Daina Taimina (2009, Hardcover)

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About this product

Product Identifiers

PublisherA + K Peter's, The Limited

ISBN-101568814526

ISBN-139781568814520

eBay Product ID (ePID)71150220

Product Key Features

Number of Pages160 Pages

Publication NameCrocheting Adventures with Hyperbolic Planes

LanguageEnglish

SubjectGeometry / Non-Euclidean, Needlework / Crocheting, Geometry / General, General, Recreations & Games

Publication Year2009

TypeTextbook

AuthorDaina Taimina

Subject AreaMathematics, Crafts & Hobbies

FormatHardcover

Dimensions

Item Height0.6 in

Item Weight24 Oz

Item Length8.3 in

Item Width10.2 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2008-038302

Dewey Edition22

Dewey Decimal516.9

Table Of ContentForeword by William Thurston Acknowledgments Introduction What Is the Hyperbolic Plane? Can We Crochet It? What Can You Learn from Your Model? Four Strands in the History of Geometry Tidbits from the History of Crochet What Is Non-Euclidean Geometry? How to Crochet a Pseudosphere and a Symmetric Hyperbolic Plane Metamorphoses of the Hyperbolic Plane Other Surfaces with Negative Curvature: Catenoid and Helicoid Who Is Interested in Hyperbolic Geometry Now and How Can It Be Used? Appendix Paper Models Endnotes Index

SynopsisWinner of the Euler Book Prize -- Awarded by the Mathematical Association of America With more than 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. From the Foreword by William Thurston: "These models have a fascination far beyond their visual appearance. As illustrated in the book, there is actually negative curvature and hyperbolic geometry all around us, but people generally see it without seeing it. You will develop an entirely new understanding by actually following the simple instructions and crocheting! The models are deceptively interesting. Perhaps you will come up with your own variations and ideas. In any case, I hope this book gives you pause for thought and changes your way of thinking about mathematics."

LC Classification NumberQA685.T35 2009