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TABLE OF CONTENTS

  • Acknowledgments
  • Introduction: Welcome Back:
    • Prologue
    • Chapter Structure
    • Research Update
    • A Note for Educators
    • How to Use This Book
    • Conclusion
  • Knit Knit Revolution(Amy F. Szczepanski):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting Revolutionary Hats
  • Generalized Helix Striping(Sarah-Marie Belcastro):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting a Helix Striped Spiral Nightcap and Bed Socks
  • A Knitted Cross-Cap(Emily Peters):
    • The Math and Motivation behind the Pattern
    • Crafting the Knitted Cross-Cap
  • Fashioning Fine Fractals from Fiber(Ted Ashton):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting the Sierpiński (Tatted!)Triangle
  • Diaper Patterns in Needlepoint(Diane Herrmann):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting the Symmetry Cube
  • Group Actions in Cross-stitch(Mary d. Shepherd):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting the Two-Color Symmetry Sampler
  • Perfectly Simple: Squaring the Triangle(Susan Goldstine):
    • The Math and Motivation behing the Pattern
    • Crafting Perfectly Simple
  • Spherical Symmetries of Temari(Carolyn Yackel):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting Three Temari Balls
  • Quilting Simiregular Tessellations(Irena Swanson):
    • Overview
    • Mathematics
    • Teaching Ideas
    • Crafting Semiregular Quilts
  • About the Contributors
  • Credits
  • Fiber Arts Bibliography
  • Index

Title: Crafting by Concepts
Editors: Sarah-Marie Belcastro, Carolyn Yackel
Format/Publication Date: HC:2011
Publisher: A.K. Peters, Ltd., Natick, Mass.
Language: English
Page Count: 248
Book Dimensions(ht. x w.): 9 3/8" x 8 1/4"
ISBN: 9781568814353

SUMMARY- I normally spend about an hour reading and studying the patterns and instructions in a book to get a feel for the book and its author so that I can relate that impression in my review. If I have sat down with the book and worked some of the projects, then I can relate more detailed information. I ended up spending about six hours over several nights with this one, geeking out and dredging up dim memories of former hours playing with different math equations. This is not a tatting book, though it does have a tatting pattern in it, to create the Sierpiński triangle. He(Ted Ashton) also attempted it doing cutwork - which didn't work out so well - and with cross-stitch, beading and string art. Weirdly, this book made me really nostalgic for my Spirograph set when I was a kid. The math is cool, and well explained, and the many different projects are fun. I think this book could get you hooked on other fiber-art disciplines, if you also like the beauty of math. Teaching from this book to get kids(and adults) to understand the elegance of math and how it relates to everything would be fun. Making the math so accessible in a fun and useful way is genius. It doesn't matter if just remembering high school algebra breaks you out in hives, this book is fun and explains things in a way that you can get. I promise. There is no reason for anyone to be intimidated by math, and this book is fun, insightful proof.

I've put the author of each chapter in parentheses in the Table of Contents. Each chapter comes with its own bibliography, so if you get hooked on a mathematical concept and wish to delve deeper, you've got a ready-made list of go-to books and websites!

If you're a fellow math geek, one of the editors has a fantastic website: http://www.toroidalsnark.net/