Making Mathematics with Needlework: Ten Papers and Ten Projects (AK Peters/CRC Recreational Mathematics Series)

Beautifully Illustrated, And With Complete Patterns And The Mathematics Behind Each Project, This Book Connects The Worlds Of Mathematics And The Fiber Arts. Each Chapter Covers A Different Mathematical Paper And Corresponding Needlework Project And Includes Mathematical Explanations, Needlework Instructions, Educational Material, And Specific Projects To Demonstrate The Principles Discussed. Making Mathematics With Needlework Will Inspire Mathematicians, Mathematics Educators, And Crafters; Every Chapter Has An Overview As Well As Sections On Mathematics And Mathematics Education And Detailed Instructions For Completing The Chapter's Project. All Readers Will Be Able To Understand The Overview Sections, As They Include Introductions To The Various Fiber Arts As Well As Summaries Of The Mathematical Content. While The Mathematics Sections Are Written For Mathematicians, The Authors Have Made A Special Effort To Make Their Work Accessible To Lay Readers By Providing Definitions Of Mathematical Terms And Many Diagrams. The Project Sections Are Written For Crafters, So That Non-mathematician Readers Can Have A Tangible Experience With Mathematical Concepts.--book Jacket. Quilted Mobius Band -- Picking Up Stitches And Diophantine Equaions -- The Sierpinski Variations: Self-similar Crochet -- Ony Two Knit Stitches Can Create A Torus -- Symmetry Patterns In Cross-stitch -- Socks With Algebraic Structure -- Fortunatus’s Purse -- (k)not Cables, Braids -- The Graph Theory Of Blackwork Embroidery -- Stop Those Pants!. Edited By Sarah-marie Belcastro, Carolyn Yackel. Includes Bibliographical References And Index. Mathematical craftwork has become extremely popular, and mathematicians and crafters alike are fascinated by the relationship between their crafts. The focus of this book, written for mathematicians, needleworkers, and teachers of mathematics, is on the relationship between mathematics and the fiber arts (including knitting, crocheting, cross-stitch, and quilting). Each chapter starts with an overview of the mathematics and the needlework at a level understandable to both mathematicians and needleworkers, followed by more technical sections discussing the mathematics, how to introduce the mathematics in the classroom through needlework, and how to make the needlework project, including patterns and instructions. Content: Quilted mobius band -- Picking up stitches and Diophantine equations -- The Sierpinski variations: self-similar crochet -- Ony two knit stitches can create a torus -- Symmetry patterns in cross-stitch -- Socks with Algebraic structure -- Fortunatus's purse -- (K)not cables, braids -- The graph theory of blackwork embroidery -- Stop those pants!