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Crafting by Concepts: Fiber Arts and Mathematics Hardcover – March 24, 2011

ISBN-13: 978-1568814353 ISBN-10: 1568814356 Edition: 1st

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Crafting by Concepts: Fiber Arts and Mathematics + Making Mathematics with Needlework: Ten Papers and Ten Projects + Crocheting Adventures with Hyperbolic Planes
Price for all three: $116.24

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Product Details

  • Hardcover: 264 pages
  • Publisher: A K Peters/CRC Press; 1 edition (March 24, 2011)
  • Language: English
  • ISBN-10: 1568814356
  • ISBN-13: 978-1568814353
  • Product Dimensions: 0.8 x 8.2 x 9.5 inches
  • Shipping Weight: 1.6 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #572,023 in Books (See Top 100 in Books)

Editorial Reviews


The beauty of the visual patterns of mathematics is highlighted in this engaging book. The mathematics is carefully laid out, but following every detail of the mathematics is not necessary to create the patterns of the crafts projects presented. … Excellent photographs throughout amply illustrate the use of mathematics … I highly recommend this book to teachers looking for beautiful projects for their students or to anyone who loves or is curious about circles, spirals, helixes, cross-caps, fractals, diaper patterns, symmetry groups, squaring the rectangle, and tiling spheres or the plane.
—Marcia Weller Weinhold, Mathematics Teacher, November 2012

There is something in this book for everyone from crafters to mathematicians to educators and students. … This book has a lot to offer for mathematicians and non-mathematicians, presented in a beautifully illustrated and well-organized volume.
L’Enseignement Mathematique (2) 57, 2011

If Crafting by Concepts does nothing else, it should help non-math-geek knitters to understand there’s nothing to fear in the typical math of a knitting pattern. It also illustrates that a little mystery can be a lot of fun.
For knitters who are into mathematical knitting, this book offers a lot of interesting things to think about. … Crafty math teachers will enjoy the teaching suggestions that will allow them to use these projects and concepts in the classroom, hopefully bringing up the next generation of crafty mathematicians. And these projects take geek craft to a whole new level, which is pretty cool.
—Sarah E. White, Knitting

I stumbled over this book and simply had to buy it … The authors’ interest is in linking mathematics and craft …
—Cally Booker, chairman of the Journal for Weavers, Spinners and Dyers, on her blog, August 2011

The editors have collected nine projects from various authors and have presented them attractively in this beautiful book. … The book is wide-ranging, covering many mathematical topics and many craft ideas. … This book would be a great present for a mathematician interested in craft or a craft enthusiast open to thinking about mathematics.
—Vicky Neale, Plus magazine, August 2011

Fiberarts and mathematics in a marvelous union to not just create but to understand applications in Temari, Quilting, Knitting and ever cross stitch.
—Lacis Tools & Materials

From the Author

Gentle reader, we and the authors have endeavored to maintain a level of accessibility that will allow any reader to enjoy portions of the book. We do encourage you to stretch yourself by trying a new craft and learning some mathematics that is new to you (or new to the world). As you read and experiment more, you will appreciate the connections between the doing and learning of mathematics as and through craft. Crafting by Concepts has been edited, indeed curated, to address many different audiences. We hope you find some part of this book that seems like it was written just for you.

Customer Reviews

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Most Helpful Customer Reviews

7 of 7 people found the following review helpful By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on December 28, 2011
Format: Hardcover
Geometric shapes can appear in many venues, one of the most interesting is when they are created by needles, thread and yarn being subjected to the careful manipulations of the talented human hand. In this book, some of basic geometric shapes are created via needlework. The mathematics used to explain and design the shapes is described, but whether you understand them or not, you cannot help but be impressed by the finished products.
Calculus of surfaces, fractals, elementary number theory, group theory, platonic solids and continued fractions are some of the mathematical topics used to explain the creations. Colorful caps, balls, cross-stitch patterns, and quilts are the useful and decorative items that are the final result of the needlework.
You don't have to understand a great deal of mathematics in order to appreciate the talent that goes into making these items. If you know how to do the required stitches, then you will be able to follow the patterns used to create them. Applied mathematics has many forms, I am sure even the legendary G. H. Hardy would have approved of what was done here.

Published in Journal of Recreational Mathematics, reprinted with permission
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7 of 7 people found the following review helpful By Herbert on June 7, 2011
Format: Hardcover Verified Purchase
Crafting by Concepts was purchased as a gift for my wife. One of her hobbies is knitting & crocheting. Upon receiving this book, she has thanked me several times for the gift. She knits a lot of different items and likes to experiment with different techniques and this book appears to have broaden that window of creativity. She likes math and enjoys its applications.
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Format: Hardcover Verified Purchase
I got this book and Making Mathematics with Needlework for my daughter's college graduation gift. She adores both mathematics and crafting and squealed with joy when she opened the box. Even if she never actually does any of the projects in the book, she is translating the concepts into what she *does* craft: knitted lace. I'd recommend this book for people who love crafts and mathematics and who have the background in reading technical papers.
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More About the Author

sarah-marie belcastro is a free-range mathematician whose primary mathematical research area is topological graph theory. She enjoys connecting people to each other, connecting ideas to each other, and connecting people to ideas. Among her many non-pure-mathematics interests are the feminist philosophy of science, dance (principally ballet and modern), and changing the world. sarah-marie did her undergraduate work at Haverford College and her Ph.D. at the University of Michigan. For more, see where the most popular pages are those on mathematical knitting.

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Crafting by Concepts: Fiber Arts and Mathematics
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