Jul

19

The golden ratio

July 19, 2024 |

golden ratio of 1.65 appears in thousands of settings over thousands of years.

The Golden Ratio: The Divine Beauty of Mathematics, by Gary B. Meisner (Author) and Rafael Araujo (Artist)

The Golden Ratio examines the presence of this divine number in art and architecture throughout history, as well as its ubiquity among plants, animals, and even the cosmos. This gorgeous book—with layflat dimensions that closely approximate the golden ratio—features clear, enlightening, and entertaining commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo.

A trader writes:

I have used the golden ratio trying to predict where the technical people find Fibonacci support and resistance levels in both cash and futures and applying them to grain spreads and basis capture. This was in conjunction with other tools being used and tested. I completely abandoned the method after finding other, more successful ways that work better than random.

William Huggins offers an historical lagniappe:

Leonardo of Pisa may be best known for his "sequence" but in his lifetime, it was his work as a tutor to the rich business class of late-Medieval Italy that paid the bills. His mathematical treatise Liber Abaci (1202), which was only "recently" translated into English, is broken into chapters including basic operations but he quickly jumps into the calculation of profits from business voyages and even introduces the notion of the time value of money.

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