000			03118cam a22002774a 4500
008			100309s2010 nyua b 001 0 eng
020			_a9780521764100
020			_a0521764106
020			_a9780521128216
020			_a0521128218
040			_aSDU
050	0	0	_aQA36 _bH641 M 2010
100	1		_aHilton, Peter John. _9219342
245	1	2	_aA mathematical tapestry : _bdemonstrating the beautiful unity of mathematics / _cPeter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer.
260			_aNew York : _bCambridge University Press, _c2010.
300			_a290 p. : _bill.
505	8		_aMachine generated contents note: Preface; 1. Flexagons - a beginning thread; 2. Another thread - 1-period paper folding; 3. More paper folding threads - 2-period paper-folding; 4. A number-theory thread - folding numbers, a number trick, and some titbits; 5. The polyhedron thread - building some polyhedra and defining a regular polyhedron; 6. Constructing dipyramids and rotating rings from straight strips of triangles; 7. Continuing the paper-folding and number theory threads; 8. A geometry and algebra thread - constructing, and using, Jennifer's puzzle; 9. A polyhedral geometry thread - constructing braided platonic solids and other woven polyhedra; 10. Combinatorial and symmetry threads; 11. Some golden threads - constructing more dodecahedra; 12. More combinatorial threads - collapsoids; 13. Group theory - the faces of the tri-hexaflexagon; 14. Combinatorial and group theory threads - extended face planes of the platonic solids; 15. A historical thread - involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream; 16. Tying some loose ends together - symmetry, group theory, homologues, and the Pólya enumeration theorem; 17. Returning to the number theory thread - generalized quasi-order and coach theorems; References; Index.
505	8		_aHKBU library
518			_aYT2025 M10
520			_a"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"--
650		0	_aMathematics.
700	1		_aPedersen, Jean. _9219343
700	1		_aDonmoyer, Sylvie. _9219344
900			_a= C.1 SDU
942			_cGBE _2lcc
999			_c112437 _d112437