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Full Description
"Models in this book look magical. And as you cannot learn magic just from watching it being performed, so it is with topological crochet. In this book the magic of topological crochet is carefully revealed to the reader step by step. Follow it by making your own models and you will be rewarded with a deep understanding of topology and your own collection of beautiful crochet sculptures."
—Daina Taimina, mathematician and author of Crocheting Adventures with Hyperbolic Planes: Tactile Mathematics, Art and Craft for all to Explore
"This wonderful book introduces crochet crafters to fun and intriguing mathematics, and mathematicians with a crafty bend to making beautiful and fun objects illustrating symmetry and topology, to their own delight and maybe that of their friends and students! Shiying and Eve are crochet magicians—and their boundless energy and sense of fun is now yours to enjoy as well in this great book."
—Ingrid Daubechies, winner of numerous mathematics awards, including the National Medal of Science, and first female president of the International Mathematical Union
"A wonderfully practical introduction to the art and craft and math of Shiying's virtuoso sculptures, laying out exactly the math you need, with detailed project instructions to follow as you learn. There are ingredients from knot and graph theory, geometry and topology, and so many forms to explore, from elegant loops to wild fanciful polyhedra. I've always needed a model in my hands to understand geometry, and crocheting is such a friendly way to visit with these beautiful shapes."
—Bathsheba Grossman, pioneering mathematical sculptor known for her 3D printed work in steel
"Topology has long been a curiosity of mine, even as a non-mathematician. Now, with nothing more than familiar tools—yarn, hook, and stitch markers—Shiying guides us through topological structures that make sense in our hands, even when the math seems out of reach. This isn't a quick skim-and-stitch pattern book, but a new way of making fiber art. Your hands will understand more than you expect!"
—Edie Eckman, fiber artist, knitting and crochet teacher, and author of several best-selling knitting and crochet books, including The Crochet Answer Book: Solutions to Every Problem You'll Ever Face; Answers to Every Question You'll Ever Ask
Contents
1. Prelude 2. What is Topology? 3. Twist and Join 4. Core Graphs and Ribbon Graphs 5. Polyhedra and Polylinks 6. From Boundary to Surface 7. Saddles 8. Topology Revisited 9. Adventurous Projects
