What makes a single number so interesting that ancient Greeks, Renaissance artists, a 17th century astronomer and a 21st century novelist all would write about it? It's a number that goes by many names. This “golden” number, 1.61803399, represented by the Greek letter Phi, is known as the Golden Ratio, Golden Number, Golden Proportion, Golden Mean, Golden Section, Divine Proportion and Divine Section. It was written about by Euclid in “Elements” around 300 B.C., by Luca Pacioli, a contemporary of Leonardo Da Vinci, in "De Divina Proportione" in 1509, by Johannes Kepler around 1600 and by Dan Brown in 2003 in his best selling novel, “The Da Vinci Code.” With the movie release of the “The Da Vinci Code”, the quest to know Phi was brought even more into the mainstream of pop culture. The allure of “The Da Vinci Code” was that it creatively integrated fiction with both fact and myth from art, history, theology and mathematics, leaving the reader never really knowing what was truth and … More on Math, Myth and Truth
The Golden Ratio: Phi, 1.618 (See Index)
This site is dedicated to sharing the best information on Phi, the number 1.618, with insights from Lego Costume, Kids Ninjago Lloyd Deluxe Outfit, Medium, Age 7 - 8 years, HEIGHT 4' 2 - 4' 5 1 2 on a broad range of topics (see Site Map). We’re here to help you:
Understand its very unique properties in Mathematics and Geometry,
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Keep current with recent news on the golden ratio.
Share your thoughts on the Discussion Page, or on any of the posts. Try the golden ratio design app.
Featured Articles: Math or Myth? An overview and the evidence
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There are many misconceptions and misrepresentations about the golden ratio. Some look too fervently for patterns and say it exists where it really doesn't. Some whose goal is to debunk golden ratio myth say it doesn't exist where it really does, missing the obvious and often not stating what proportions appear instead. People on both sides often just repeat what they've heard rather than personally performing the analysis required to support their conclusions. Intelligence and education are not always factors in getting to the truth, as even Ph.D.'s in mathematics sometimes get it wrong. As the author of this site since 1997, I've changed my views and the information on this site as well. Let's look at some of the common points of confusion and debate, covering beauty, the Parthenon, the UN Secretariat Building, the Great Pyramid, Nautilus shell, use by famous artists (Da Vinci, Botticelli, Seurat, etc.) and other topics. I'll provide objective answers, with additional evidence in the … More on Math, Myth and Truth
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Gary Meisner’s latest Tweets on the Golden Ratio
Here are the latest Tweets on the golden ratio and related topics by Gary Meisner, founder and author of GoldenNumber.net and developer of PhiMatrix golden ratio analysis and design software: Tweets by GaryBMeisner … EDUBIG3372 1 32 Eduard Big ED Yak-3 Super Detail Set (for use with The Special Hobby Model kit) [Model KIT Accessory]


Dr. George Markowsky’s “Misconceptions about the Golden Ratio” Reviewed
Debunking the Debunkers of Golden Ratio Myths. Overview: This article reviews Dr. George Markowsky's article on eight misconceptions about the golden ratio. He starts his analysis by establishing a very generous ±2% range for considering evidences of the golden ratio as acceptable. In four cases though, evidences for the original claims are missed or ignored. In two cases, the measurements are taken incorrectly. In two cases, the measurements taken are too limited to be conclusive. In one case, no measurements are taken at all. The arguments are accompanied by weak or incomplete evidence, which is used to dismiss the measurements that vary from the golden ratio by less than 1%. A flawed assumption is made that there are "infinitely numbers near Phi" that could have been used instead. This is of course true in theoretical mathematics, but false with respect to physical measurements in the real world, which are limited by significant figures of accuracy. In addition, the number of … More on this article

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2015 study announces the discovery of the Golden Ratio in the Sistene Chapel. Clinical Anatomy published an article on July 17, 2015 by a team from Brazil titled "More than a neuroanatomical representation in The Creation of Adam by Michelangelo Buonarroti, a representation of the Golden Ratio." (PDF here.) The excitement of the authors in making this discovery for themselves is understandable, and their creativity is commendable. The discovery though was not entirely new, and it does not appear to be entirely accurate, nor complete. The Brazilian study though motivated me to take a deeper look at Michelangelo's composition of his paintings in the Sistine Chapel. This led to much richer evidence yet of Michelangelo's use of the golden ratio, also known as the Divine Proportion. These new findings are presented in a separate article, Michelangelo and the Art of the Golden Ratio in Design. Analysis of the findings of the 2015 Brazilian study. The authors of the Brazilian study … LYQZ Develop intellectual puzzle pirate ship building blocks assembling toys
Another FastOne by FastCoDesign on the Golden Ratio?
Was it routine site maintenance or censorship at FastCoDesign? Why delete reader comments? On April 13, 2015, FastCoDesign.com took a stand on design with an article by John Brownlee titled “The Golden Ratio: Design’s Biggest Myth – The Golden Ratio is Total Nonsense in Design. Here’s Why.” (Find article here.) By the end of June 2015, the article had hundreds of comments from readers, almost entirely negative, as readers expressed their anger, disappointment and frustration at the ignorance, inaccuracies and bias in the poorly researched and lamely written article. And then all the comments just disappeared! Descriptions of the article used by readers included "appalling, sensationalist, dangerous, stupid, under-informed nonsense, an exercise in ignorance and conceit, seething with misinformation, misleading, utter nonsense, profound ignorance, lame, entirely incorrect, click bait, what a troll, simplistic, naive, puerile, opinionated, unsophisticated, boring, fallacious, … More on this article