This image was scanned from my private collection
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(SarahMarie Belcastro):
 Overview
 Mathematics
 Teaching Ideas
 Crafting a Helix Striped Spiral Nightcap and Bed Socks
 A Knitted CrossCap(Emily Peters):
 The Math and Motivation behind the Pattern
 Crafting the Knitted CrossCap
 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 Crossstitch(Mary d. Shepherd):
 Overview
 Mathematics
 Teaching Ideas
 Crafting the TwoColor 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: SarahMarie 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 crossstitch, 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 fiberart 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 readymade list of goto books and websites!
If you're a fellow math geek, one of the editors has a fantastic website:
http://www.toroidalsnark.net/
