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A Mathematical Tapestry

Demonstrating the Beautiful Unity of Mathematics

Peter Hilton author Jean Pedersen author Sylvie Donmoyer illustrator

Format:Hardback

Publisher:Cambridge University Press

Published:22nd Jul '10

Currently unavailable, and unfortunately no date known when it will be back

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A Mathematical Tapestry cover

Build paper polygons and discover how systematic paper folding reveals exciting patterns and relationships between seemingly unconnected branches 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.This 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.

'For some 30 years Peter Hilton and Jean Pedersen have written papers and books on mathematics, both recreational and advanced. Now they have pulled it all together in one exciting and handsome volume. It opens with detailed instructions on how to fold paper flexagons (there are now dozens of websites on these bewildering paper toys), followed by paper models of polygons and curious polyhedra, then on to other fascinating topics. The emphasis throughout is on symmetry and elegance. The writing is clear and informal, and the authors do not hesitate to include lovely proofs in number theory, algebra, geometry, and group theory. The book is a rich 'tapestry, as the authors call it, from first page to last.' Martin Gardner
'The book demonstrates the great unity of mathematics. This is supported by a wealth of instructive illustrations …' Zentralblatt MATH

  • Winner of A Choice Outstanding Academic Title 2011

ISBN: 9780521764100

Dimensions: 253mm x 180mm x 23mm

Weight: 760g

308 pages