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The book A Mathematical History of the Golden Number by Roger Herz-Fischler is an exhaustive study of nearly all references to the golden ratio, from the earliest times, and is available as a free e-book, for example from:

http://ebook.networkgood.com/science/a-mathematical-history-of-the-golden-number.html. As has been pointed out by others, the golden ratio is older than the Fibonacci numbers. On page 53, Herz-Fischler notes that a pentagram appears as "a pot mark on a jar" dating from 3100 BC in Egypt.Here is the page from Google books:

http://tinyurl.com/2vapgm2

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The book "A Mathematical History of the Golden Number" by Roger Herz-Fischler is an exhaustive study of nearly all references to the golden ratio, from the earliest times, and is available as a free e-book, for example from:

http://ebook.networkgood.com/science/a-mathematical-history-of-the-golden-number.html

As has been pointed out by others, the golden ratio is older than the Fibonacci numbers. On page 53, Herz-Fischler notes that a pentagram appears as "a pot mark on a jar" dating from 3100 BC in Egypt. Here is the page from Google books:

http://tinyurl.com/2vapgm2

show/hide this revision's text 1

The book "A Mathematical History of the Golden Number" by Roger Herz-Fischler is an exhaustive study of nearly all references to the golden ratio, from the earliest times, and is available as a free e-book, for example from:

http://ebook.networkgood.com/science/a-mathematical-history-of-the-golden-number.html

As has been pointed out by others, the golden ratio is older than the Fibonacci numbers. On page 53, Herz-Fischler notes that a pentagram appears as "a pot mark on a jar" dating from 3100 BC in Egypt. Here is the page from Google books:

http://tinyurl.com/2vapgm2