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Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist

Ellie Baker Susan Goldstine



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A K Peters
16 December 2014
Applied mathematics; Jewellery & beadcraft
Designed for crafters, puzzle lovers, and pattern designers alike, Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist provides methods, challenges, and patterns that offer a springboard for creative exploration. All are illustrated with beautiful color diagrams and photographs. Experienced bead crochet crafters looking for a project may choose to skip ahead to the pattern pages and begin crocheting from an abundance of unique, mathematically inspired designs. Those wishing to design their own patterns will find many useful tools, template patterns, and a new methodology for understanding how to do so even without using math. Puzzle lovers without previous knowledge of bead crochet will also find ample inspiration for learning the craft.

The first part of the book describes the basic requirements and constraints of a bead crochet pattern and explains what makes designing in this medium so tricky. The authors present their new design framework and offer insight on how best to approach design choices and issues unique to bead crochet.

The second part presents a series of bead crochet design challenges informed by colorful bits of mathematics, including topology, graph theory, knot theory, tessellations, and wallpaper groups. Each chapter in this section begins with a design puzzle accompanied by an introduction to the mathematical idea that inspired it. The authors then discuss what made the challenge difficult, present some of their solutions, and describe the thinking and ideas behind their approach.

The final part contains nearly 100 original bead crochet patterns, including solutions to all the design challenges. This part also provides a tutorial on the fundamentals of bead crochet technique.

Behind the deceptively simple and uniform arrangement of beads is a subtle geometry that produces compelling design challenges and fascinating mathematical structures. In color throughout, Crafting Conundrums gives both math enthusiasts and crafters an innovative approach to creating bead crochet patterns while addressing a variety of mathematically inspired design questions. Supplementary materials, including demo videos, are available on the book's CRC Press web page.
By:   Ellie Baker, Susan Goldstine
Imprint:   A K Peters
Country of Publication:   United States
Dimensions:   Height: 279mm,  Width: 216mm,  Spine: 13mm
Weight:   994g
ISBN:   9781466588486
ISBN 10:   1466588489
Pages:   272
Publication Date:   16 December 2014
Audience:   College/higher education ,  College/higher education ,  Primary ,  Primary
Format:   Hardback
Publisher's Status:   Active
A Design Framework Exploring the Bead Plane Torus Basics Flat Layouts The Infinite Bead Plane Hockey-Stick Translations Repeat Translations Lattices and Tilings Designing in the Bead Plane Extracting a Repeat From a Bead Plane Diagram Twists Cropping Visualization and the Limits of Physical Twists New Design Challenges Design Challenges Seven-Color Tori Geometric Cross Sections One More Challenge: Moebius Bands Faceted Bracelets: Another Design Springboard Torus Knots Construction Using Physical Twists Construction Using Natural Twists Combining Patchworks and Twists Knotted and Linked Bracelets Celtic Knots: Another Design Springboard Escher Designs Deforming Polygonal Tilings Assembling Shaped Tiles Generating Tiles from Lattices Growing Symmetric Tilings Escher Transformations: Another Design Springboard Wallpaper Groups Identifying Wallpaper Groups Wallpaper Groups in the Bead Plane Designing Wallpaper Bracelets Instructions and Patterns How to Bead Crochet Pattern Selection Stringing Starting Crocheting Closing Joining New Thread Tips for Transformation Designs Resources Pattern Pages

Reviews for Crafting Conundrums: Puzzles and Patterns for the Bead Crochet Artist

This beautifully illustrated book is a delight for both the bead crocheter and the student of mathematics. It can be enjoyed by the crafter without exploring the mathematics or the mathematician without trying the craft. But it will entice the crafter to do mathematics, and the mathematician to crochet tangible displays of her work. Mathematics at its essence is the study of patterns and bead crochet is a beautiful medium for making tangible objects to display patterns. Here we have an extensive study of the possibilities for bead crochet by two knowledgeable mathematicians. Starting with a simple hexagonal grid, a wealth of possibilities emerge. The surprising complexity of this medium is explored in depth. Readers can chose from clearly illustrated patterns or design their own while learning about the underlying mathematics. With ideas from topology, tilings, graph theory, knot theory, and group theory, an entire liberal arts mathematics course can be designed around this text. Whether you are looking to introduce mathematics topics into your arts curriculum, generate enthusiasm in your mathematics courses, or simply create stunning bead crochet, you will find great ideas for exploration. -Eve Torrence, Professor of Mathematics, Randolph-Macon College This book is a collection of wonderful tools for mastering geeky and beautiful projects that in a tactile and creative way explore notions like universal covering space, four color theorem, wallpaper groups, and seven color tori that unfairly seem to be reserved for mathematicians only. Crafters, puzzle lovers, and pattern designers will be delighted to find clear instructions on how to do the projects. I hope that non-crafting mathematicians will also peek in the book to see how mathematical concepts can be expressed in amazingly visual ways. It is indeed written with experience and love of both math and craft. -Daina Taimina, Adjunct Associate Professor, Department of Mathematics, Cornell University This is a must-have book for anybody interested in bead crochet bracelets and cords. It provides a perfect balance between the design and construction of bead crochet, and the underlying mathematics that dictates what is and is not possible within this art form. -Gwen Fisher, beAd Infinitum This delightful book will give readers a visual understanding of mathematically inspired designs in bead crochet ropes. It is a well-written book that straddles the fence between mathematics and craft. The theory, patterns, projects, and instructions are presented in a clear and concise manner. If the technical aspects don't interest you, then skip ahead to the pattern pages for a full library of designs. This book will keep the experienced bead crocheter busy for a long while. -Judith Bertoglio-Giffin, www.beadline.com

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