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E-raamat: Making Mathematics with Needlework: Ten Papers and Ten Projects [Taylor & Francis e-raamat]

Edited by (Mercer University, Macon, Georgia, USA), Edited by (Smith College, Northampton, Massachusetts, USA)
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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.
Acknowledgments xi
Introduction: An Overview of Mathematics and Fiber Arts 1(1)
Welcome!
1(1)
A Short History
1(1)
Fiber Arts and Mathematics Education
2(2)
Current and Future Research
4(3)
Conclusion
7(6)
Quilted Mobius Band
13(18)
Overview
13(4)
Mathematics
17(4)
Teaching Ideas
21(3)
How to Make Mobius Quilts
24(7)
Picking Up Stitches and Diophantine Equations
31(10)
Overview
31(3)
Mathematics
34(2)
Teaching Ideas
36(1)
How to Make a Bi-Directional Hat
36(5)
The Sierpinski Variations: Self-Similar Crochet
41(14)
Overview
41(1)
Mathematics
41(7)
Teaching Ideas
48(2)
How to Make a Sierpinski Shawl
50(5)
Only Two Knit Stitches Can Create a Torus
55(16)
Overview
55(1)
Mathematics
56(6)
Teaching Ideas
62(3)
How to Make a Torus
65(6)
Symmetry Patterns in Cross-Stitch
71(20)
Overview
71(4)
Mathematics
75(6)
Teaching Ideas
81(2)
How to Make the Symmetries Sampler
83(8)
Socks with Algebraic Structure
91(14)
Overview
91(2)
Mathematics
93(5)
Teaching Ideas
98(2)
How to Make Algebraic Socks
100(5)
Fortunatus's Purse
105(14)
Overview
105(1)
Mathematics
106(6)
Teaching Ideas
112(2)
How to Make Fortunatus's Purse
114(5)
(K)Not Cables, Braids
119(18)
Overview
119(1)
Mathematics
120(5)
Teaching Ideas
125(2)
How to Make a Pillow of Braid Equivalence
127(10)
The Graph Theory of Blackwork Embroidery
137(18)
Overview
137(4)
Mathematics
141(7)
Teaching Ideas
148(1)
How to Embroider a Holbeinian Graph
149(6)
Stop Those Pants!
155(24)
Overview
155(3)
Mathematics
158(8)
Teaching Ideas
166(3)
How to Make Hyperbolic Pants
169(10)
About the Contributors 179(2)
Credits 181(2)
Index 183


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.