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El. knyga: Crafting by Concepts: Fiber Arts and Mathematics [Taylor & Francis e-book]

Edited by (Mercer University, Macon, Georgia, USA), Edited by (Smith College, Northampton, Massachusetts, USA)
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Crafting by Concepts: Fiber Arts and MathematicsDidesnis paveikslėlis
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From the editors of the popular Making Mathematics with Needlework, this new collection of crafts projects highlights the relationship between mathematics and different kinds of needlework. Chapters start with an overview written for a broad audience that presents the interplay between a mathematical concept and the craft expression of the concept. This is followed by a section explaining the mathematics in more detail, and a section with suggestions for classroom activities. Each chapter ends with specific crafting instructions. Types of needlework included are knitting, crochet, needlepoint, cross-stitch, quilting, temari balls, beading, tatting, and string art

A new collection of craft projects highlights the relationship between mathematics and different kinds of crafts, including knitting, crochet, needlepoint, cross-stitch, quilting, beading and more.
Acknowledgments xi
Introduction: Welcome Back 1(6)
1 Prologue
1(1)
2
Chapter Structure
1(1)
3 Research Update
1(1)
4 A Note for Educators
1(1)
5 How to Use This Book
2(2)
6 Conclusion
4(3)
1 Knit Knit Revolution
7(22)
1 Overview
7(2)
2 Mathematics
9(7)
3 Teaching Ideas
16(3)
4 Crafting Revolutionary Hats
19(10)
2 Generalized Helix Striping
29(22)
1 Overview
29(2)
2 Mathematics
31(9)
3 Teaching Ideas
40(2)
4 Crafting a Helix Striped Spiral Nightcap and Bed Socks
42(9)
3 A Knitted Cross-Cap
51(8)
1 The Math and Motivation behind the Pattern
51(1)
2 Crafting the Knitted Cross-Cap
52(7)
4 Fashioning Fine Fractals from Fiber
59(30)
1 Overview
59(1)
2 Mathematics
59(12)
3 Teaching Ideas
71(3)
4 Crafting the Sierpinski Triangle
74(15)
5 Diaper Patterns in Needlepoint
89(22)
1 Overview
89(1)
2 Mathematics
90(10)
3 Teaching Ideas
100(2)
4 Crafting the Symmetry Cube
102(9)
6 Group Actions in Cross-Stitch
111(30)
1 Overview
111(1)
2 Mathematics
112(18)
3 Teaching Ideas
130(2)
4 Crafting the Two-Color Symmetry Sampler
132(9)
7 Perfectly Simple: Squaring the Rectangle
141(10)
1 The Math and Motivation behind the Pattern
141(2)
2 Crafting Perfectly Simple
143(8)
8 Spherical Symmetries of Temari
151(36)
1 Overview
151(3)
2 Mathematics
154(13)
3 Teaching Ideas
167(2)
4 Crafting Three Temari Balls
169(18)
9 Quilting Semiregular Tessellations
187(48)
1 Overview
187(1)
2 Mathematics
188(6)
3 Teaching Ideas
194(5)
4 Crafting Semiregular Quilts
199(36)
About the Contributors 235(4)
Credits 239(4)
Fiber Arts Bibliography 243(4)
Index 247
sarah-marie belcastro and Carolyn Yackel earned their Ph.D.s in mathematics from the University of Michigan. Carolyn Yackel is an Associate Professor in the mathematics department at Mercer University in Macon, Georgia, specializing in connections between mathematics and art. sarah-marie belcastro is a Research Associate at Smith College in Northampton, Massachusetts.
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