Crocheting Adventures with Hyperbolic Planes

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9781568814520: Crocheting Adventures with Hyperbolic Planes
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Winner of the Euler Book Prize -- Awarded by the Mathematical Association of America

With more than 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations.

From the Foreword by William Thurston:

"These models have a fascination far beyond their visual appearance. As illustrated in the book, there is actually negative curvature and hyperbolic geometry all around us, but people generally see it without seeing it. You will develop an entirely new understanding by actually following the simple instructions and crocheting! The models are deceptively interesting. Perhaps you will come up with your own variations and ideas. In any case, I hope this book gives you pause for thought and changes your way of thinking about mathematics."

"synopsis" may belong to another edition of this title.

From the Author:

Writing this book I kept in mind that "a picture is worth 1000 words" - therefore 300 pictures in the book with expanded captures. So it is possible to read this book as a picture book. This is what children like to do. Then next level in this book is the text - if some of the pictures have caught the interest of a reader, then it is possible to get more explanation by reading the text close to the picture. For those who really want to know more and deeper - look in endnotes where I put a lot of references for further reading.
The idea to write this book grew out of many questions I was asked after my talks. Hope I have answered many of these questions. And I keep waiting for new ones!

From the Inside Flap:

"These models have a fascination far beyond their visual appearance. As illustrated in the book, there is actually negative curvature and hyperbolic geometry all around us, but people generally see it without seeing it. You will develop an entirely new understanding by actually folliwng the simple instructions and crocheting! The models are deceptively interesting. Perhaps you will come up with your own variations and ideas. In any case, I hope this book gives you pause for thought and changes your way of thinking about mathematics." - From the Foreword by William Thurston

"About this title" may belong to another edition of this title.

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