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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.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Leiden :
Cambridge University Press,
2010.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.