A Mathematical Tapestry : Demonstrating the Beautiful Unity of Mathematics.

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

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Bibliographic Details
Main Author: Hilton, Peter
Other Authors: Pedersen, Jean, Donmoyer, Sylvie
Format: Electronic eBook
Language:English
Published: Leiden : Cambridge University Press, 2010.
Subjects:
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MARC

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505 0 |a Cover; Half-title; Title; Copyright; Contents; Preface; Acknowledgments; 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 tidbits; 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. 
505 8 |a 9 A polyhedral geometry thread Constructing braided Platonic solids and other woven polyhedra10 Combinatorial and symmetry threads; 11 Some golden threads Constructing more dodecahedra; 12 More combinatorial threads Collapsoids; 13 Group theory The faces of the trihexaflexagon; 14 Combinatorial and group-theoretical threads Extended face planes of the Platonic solids; 15 A historical thread Involving the Euler characte. 
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