{"product_id":"a-mathematical-tapestry-demonstrating-the-beautiful-unity-of-mathematics-hardback-9780521764100","title":"A Mathematical Tapestry; Demonstrating the Beautiful Unity of Mathematics (Hardback) 9780521764100","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Mathematical Tapestry\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eDemonstrating the Beautiful Unity of Mathematics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eBuild paper polygons and discover how systematic paper folding reveals exciting patterns and relationships between seemingly unconnected branches of mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003ePeter Hilton (Author), Jean Pedersen (Author), Sylvie Donmoyer (Illustrated by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521764100, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 22 July 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e308 pages, 175 b\/w illus.\u003cbr\u003e24.4 x 17 x 1.9 cm, 0.69 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The book demonstrates the great unity of mathematics. This is supported by a wealth of instructive illustrations …' Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis easy-to-read 2010 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Flexagons - a beginning thread\u003cbr\u003e 2. Another thread - 1-period paper folding\u003cbr\u003e 3. More paper folding threads - 2-period paper-folding\u003cbr\u003e 4. A number-theory thread - folding numbers, a number trick, and some titbits\u003cbr\u003e 5. The polyhedron thread - building some polyhedra and defining a regular polyhedron\u003cbr\u003e 6. Constructing dipyramids and rotating rings from straight strips of triangles\u003cbr\u003e 7. Continuing the paper-folding and number theory threads\u003cbr\u003e 8. A geometry and algebra thread - constructing, and using, Jennifer's puzzle\u003cbr\u003e 9. A polyhedral geometry thread - constructing braided platonic solids and other woven polyhedra\u003cbr\u003e 10. Combinatorial and symmetry threads\u003cbr\u003e 11. Some golden threads - constructing more dodecahedra\u003cbr\u003e 12. More combinatorial threads - collapsoids\u003cbr\u003e 13. Group theory - the faces of the tri-hexaflexagon\u003cbr\u003e 14. Combinatorial and group theory threads - extended face planes of the platonic solids\u003cbr\u003e 15. A historical thread - involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream\u003cbr\u003e 16. Tying some loose ends together - symmetry, group theory, homologues, and the Pólya enumeration theorem\u003cbr\u003e 17. Returning to the number theory thread - generalized quasi-order and coach theorems\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265024020760,"sku":"9780521764100","price":84.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521764100i.jpg?v=1692018975","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-mathematical-tapestry-demonstrating-the-beautiful-unity-of-mathematics-hardback-9780521764100","provider":"Freshly Printed Books","version":"1.0","type":"link"}