CROCHETING ADVENTURES WITH HYPERBOLIC PLANES PDF

Further information: Mathematics and fiber arts The book is on the use of crochet to make physical surfaces with the geometry of the hyperbolic plane. The full hyperbolic plane cannot be embedded smoothly into three-dimensional space, but pieces of it can. The first chapter introduces the notion of the curvature of a surface, provides instructions for an introductory project in crocheting a patch of the hyperbolic plane, and provides an initial warning about the exponential growth in the area of this plane as a function of its radius, which will cause larger crochet projects to take a very long time to complete. Chapter two covers more concepts in the geometry of the hyperbolic plane, connecting them to crocheted models of the plane. Chapters 6, 7, and 8 cover specific geometric objects with negatively-curved surfaces, including the pseudosphere , helicoid , and catenoid , investigate mathematical toys, and use these crocheted models "to explore otherwise hard to visualize objects".

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It is quite funny. It will simply never bother me that I cant knit hyperbolas. Im sorry if this offends any crocheters. On second thoughts, no Im not. Still, this book has interest for a few reasons. One is that it won this years Oddest Booktitle of the Year award ahead of: Afterthoughts of a Worm Hunter by David I personally am not able to review this book.

Second place: What Kind of Bean is this Chihuahua? Another is the unlikeliness of seeing a book of crochet patterns being brought out by a science and technology publisher and reviewed by science and maths journals. 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.

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