The Golden Section
Seiten
2001
Mathematical Association of America (Verlag)
978-0-88385-534-8 (ISBN)
Mathematical Association of America (Verlag)
978-0-88385-534-8 (ISBN)
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The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. This book aims both to describe examples of the Golden Section, and to show some paths to further developments.
The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenomenon but rather, in many cases. the first and also the simplest non-trivial example in the context of generalisations leading to further developments. It is the purpose of this book, on the one hand, to describe examples of the Golden Section, and on the other, to show some paths to further extensions. The treatment is informal and the text is enriched by the presence of very illuminating diagrams. Questions are posed at fairly frequent intervals and the answers to these questions, perhaps only in the form of very broad hints for their solution, are gathered together at the end of the text.
The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. In this way, the Golden Section is no isolated phenomenon but rather, in many cases. the first and also the simplest non-trivial example in the context of generalisations leading to further developments. It is the purpose of this book, on the one hand, to describe examples of the Golden Section, and on the other, to show some paths to further extensions. The treatment is informal and the text is enriched by the presence of very illuminating diagrams. Questions are posed at fairly frequent intervals and the answers to these questions, perhaps only in the form of very broad hints for their solution, are gathered together at the end of the text.
1. What is it all about?; 2. Fractals; 3. Golden geometry; 4. Folds and cuts; 5. Number sequences; 6. Regular and semi-regular solids; 7. Examples and further questions.
| Erscheint lt. Verlag | 13.9.2001 |
|---|---|
| Reihe/Serie | Spectrum |
| Mitarbeit |
Assistent: Jean Pedersen |
| Übersetzer | Peter Hilton |
| Zusatzinfo | Worked examples or Exercises |
| Verlagsort | Washington |
| Sprache | englisch |
| Maße | 153 x 229 mm |
| Gewicht | 224 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| ISBN-10 | 0-88385-534-8 / 0883855348 |
| ISBN-13 | 978-0-88385-534-8 / 9780883855348 |
| Zustand | Neuware |
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