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Synopsis
This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth.
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Book Description
Using the simple geometric idea of systematic paper folding, the authors of this 2010 book demonstrate the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions show how to build three-dimensional polygons that help the reader unearth some surprising and delightful results.
About the Author
Peter Hilton is Distinguished Professor Emeritus in the Department of Mathematical Sciences at the State University of New York (SUNY), Binghamton.
Jean Pedersen is Professor of Mathematics and Computer Science at Santa Clara University, California.
Sylvie Donmoyer is a professional artist and freelance illustrator.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2010
- ISBN 10 0521128218
- ISBN 13 9780521128216
- BindingPaperback
- LanguageEnglish
- Number of pages306
- IllustratorDonmoyer Sylvie
- Rating
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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ISBN 10: 0521128218
ISBN 13: 9780521128216
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics (Paperback or Softback)
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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Mathematical Tapestry (Paperback)
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Paperback. Condition: new. Donmoyer, Sylvie (illustrator). Paperback. Demonstrating the beautiful unity of mathematics. Using the simple geometric idea of systematic paper folding, the authors of this 2010 book demonstrate the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions show how to build three-dimensional polygons that help the reader unearth some surprising and delightful results. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521128216
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics
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