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Crocheting Adventures with Hyperbolic Planes

author Daina Taimina

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Category Crochet and Knitting

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This Richly Illustrated Book Discusses Non-euclidean Geometry And The Hyperbolic Plane In An Accessible Way. The Author Provides Instructions For How To Crochet Models Of The Hyperbolic Plane, Pseudosphere, And Catenoid/helicoids. With This Knowledge, The Reader Has A Hands-on Tool For Learning The Properties Of The Hyperbolic Plane And Negative Curvature. The Author Also Explores Geometry And Its Historical Connections With Art, Architecture, Navigation, And Motion, As Well As The History Of Crochet, Which Provides A Context For The Significance Of A Physical Model Of A Mathematical Concept That Has Plagued Mathematicians For Centuries.--publisher Description. 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? -- Paper Models. Daina Taimiņa. Includes Bibliographical References (p. 139-144) And Index.

authors

Daina Taimina

Additional Info

  • Format:
  • ISBN: 9781568814520

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