The Golden Section PDF

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INFORMATION

DATE DE PUBLICATION
2001-Jan-01
AUTEUR
Hans Walser
ISBN
9780883855348
NOM DE FICHIER
The Golden Section.pdf
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DESCRIPTION

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Golden Ratio in 60 seconds - YouTube

Le nombre d'or (ou section dorée, proportion dorée, ou encore divine proportion) est une proportion, définie initialement en géométrie comme l'unique rapport a/b entre deux longueurs a et b telles que le rapport de la somme a + b des deux longueurs sur la plus grande (a) soit égal à celui de la plus grande (a) sur la plus petite (b) c'est-à-dire lorsque :

Since antiquity, the Golden Section bas played a significant role in many parts of geometry, architecture, music, art, and philosophy. But 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 a sequence of generalizations 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. This English edition has been prepared, with the authors cooperation, to make it available to English-speaking students of mathematics. The treatment is informal and the text is enriched by the presence of especially illuminating diagrams. Questions are posed at fairly frequent intervals, and the answers to these questions, perhaps only in the form of very broad hints, are gathered together at the end of the book.

Fibonacci Numbers, the Golden section and the Golden String

Putting it as simply as we can (eek!), the Golden Ratio (also known as the Golden Section, Golden Mean, Divine Proportion or Greek letter Phi) exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.

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