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A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]]
| A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]] |
| Autore | Hilton Peter <1923-2010, > |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xv, 290 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Paper work Geometrical models Polyhedra - Models Mathematics - Study and teaching Geometry - Study and teaching Combinatorial geometry - Study and teaching Mathematical recreations |
| ISBN |
1-107-20850-5
1-139-63665-0 1-282-72342-1 9786612723421 0-511-77579-2 0-511-77655-1 0-511-77397-8 0-511-77290-4 0-511-77700-0 0-511-77503-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. |
| Record Nr. | UNINA-9910459262403321 |
Hilton Peter <1923-2010, >
|
||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]]
| A mathematical tapestry : demonstrating the beautiful unity of mathematics / / Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer [[electronic resource]] |
| Autore | Hilton Peter <1923-2010, > |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xv, 290 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Soggetto topico |
Mathematics
Paper work Geometrical models Polyhedra - Models Mathematics - Study and teaching Geometry - Study and teaching Combinatorial geometry - Study and teaching Mathematical recreations |
| ISBN |
1-107-20850-5
1-139-63665-0 1-282-72342-1 9786612723421 0-511-77579-2 0-511-77655-1 0-511-77397-8 0-511-77290-4 0-511-77700-0 0-511-77503-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems. |
| Record Nr. | UNINA-9910784945103321 |
|
Hilton Peter <1923-2010, >
|
||
| Cambridge : , : Cambridge University Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
