Figuring fibers / Carolyn Yackel, chief editor ; Sarah-Marie Belcastro, assistant editor

Published: Providence, Rhode Island : American Mathematical Society, [2018]
Physical Description: xvi, 232 pages : illustrations, chiefly color ; 24 cm
Additional Creators: Yackel, Carolyn and Belcastro, Sarah-Marie

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Contents

Machine generated contents note: 1.Welcome -- 2.Mathematical Fiber Arts -- 3.How to Use and Appreciate this Book -- Bibliography -- 1.More Granny, Less Square -- 1.Introduction -- 2.Identification of L[∞]-Buffers and their Foundations -- 3.Crochet Techniques for Building [∞]-buffers -- 4.Instructions and Design Ideas for Tetrominoes and Pentominoes -- Bibliography -- 2.Gosper-like Fractals and Intermeshed Crochet -- 1.Introduction -- 2.Mathematical Work -- 3.The Needlework -- 4.Closing Thoughts -- Bibliography -- 3.Templeton Square Truchet Tiles -- 1.Introduction -- 2.Mathematical Work -- 3.The Needlework -- Bibliography -- 4.Variations on Snake Trail Quilting Patterns -- 1.Introduction -- 2.Snake's Trail Quilt Blocks -- 3.Snake's Trail Pattern Types -- 4.The Needlework -- Bibliography -- 5.The Chinese Remainder Theorem and Knitting Stitch Patterns -- 1.Introduction -- 2.Mathematical Work -- 3.Rescaling for Different Gauges -- 4.The Needlework -- Bibliography -- 6.Knitting Torus Knots and Links -- 1.Introduction -- 2.Techniques for Knitting Torus Knots -- 3.Which Torus Knots Can We Knit (in This Way)? -- 4.Techniques for Knitting Torus Links -- 5.Patterns for Knitting Torus Knots and Links -- 6.Conclusion -- Bibliography -- 7.Triply Periodic Polyhedra in Euclidean Three-Dimensional Space -- 1.Introduction -- 2.Mathematical Work -- 3.The Needlework -- 4.A Hands-on Model To Try Yourself -- 5.Resources for Future Work -- Bibliography -- 8.Piecing Together Link Complements -- 1.Introduction -- 2.Hyperbolic Structures on Link Complements -- 3.The Quilts -- 4.The Borromean Rings are Hyperbolic: Proof by Quilt -- Bibliography.

Summary

Presenting mathematics and mathematical ideas in fiber arts, like intermeshed crochet, quilting patterns, knitted stitch patterns, needlework, etc.

Subject(s)

ISBN

9781470429317 (alk. paper)
1470429314

Bibliography Note

Includes bibliographical references and index.

Source of Acquisition

Purchased with funds from the James and Joyce Gettys Libraries Endowment in the Math Library and in the School of Information Sciences and Technology ; 2018

Endowment Note

James and Joyce Gettys Libraries Endowment in the Math Library and in the School of Information Sciences and Technology

View MARC record | catkey: 25367559