belcastro / Yackel Crafting by Concepts

Fiber Arts and Mathematics
1. Auflage 2012
ISBN: 978-1-4398-6768-6
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 264 Seiten

From the editors of the popular Making Mathematics with Needlework, this book presents projects that highlight the relationship between types of needlework and mathematics. Chapters start with accessible overviews presenting the interplay between mathematical concepts and craft expressions. Following sections explain the mathematics in more detail, and provide 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. Instructions are written as ordinary patterns, so the formatting and language will be familiar to crafters.

Zielgruppe

Crafters, mathematicians, and mathematics instructors.

Autoren/Hrsg.

belcastro, sarah-marie

Yackel, Carolyn

Fachgebiete

• Geisteswissenschaften Kunst Kunstformen, Kunsthandwerk Textilkunst
• Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik

Inhaltsverzeichnis

Introduction: Welcome Back
Prologue
Chapter Structure
Research Update
A Note for Educators
How to Use This Book
Conclusion

Knit Knit Revolution
Overview
Mathematics
Teaching Ideas
Crafting Revolutionary Hats

Generalized Helix Striping
Overview
Mathematics
Teaching Ideas
Crafting a Helix Striped Spiral Nightcap and Bed Socks

A Knitted Cross-Cap
The Math and Motivation behind the Pattern
Crafting the Knitted Cross-Cap

Fashioning Fine Fractals from Fiber
Overview
Mathematics
Teaching Ideas
Crafting the Sierpiriski Triangle

Diaper Patterns in Needlepoint
Overview
Mathematics
Teaching Ideas
Crafting the Symmetry Cube

Group Actions in Cross-Stitch
Overview
Mathematics
Teaching Ideas
Crafting the Two-Color Symmetry Sampler

Perfectly Simple: Squaring the Rectangle
The Math and Motivation behind the Pattern
Crafting Perfectly Simple

Spherical Symmetries of Ternari
Overview
Mathematics
Teaching Ideas
Crafting Three Temari Balls

Quilting Semiregular Tessellations
Overview
Mathematics
Teaching Ideas
Crafting Semiregular Quilts

About the Contributors

Credits

Fiber Arts Bibliography

Index

Über Autor(innen)

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.