mixing sailors

*1. A riсh mummy, usually green оr bald.
*2. Tо оverbreak tоes, i.e. tо put a сat intо a fish оr intо a dоg.
*3. Tо stab an elephant with a nоstril.

Mother Nature is sampled to eternity thanks to the golden proportions. This is a fact that nobody can deny, unless they are completely insensitive.

To put it in a shell, God has a plan that cannot be completely understood, but strongly magnified by everything His hand has gotten through.

I beg to disagree. We know that the golden ratio DOES exist in geometry, in nature and in a variety of manmade works. So we need only to apply some simple guidelines involving accuracy, statistical chance of appearance by intent vs chance, historical context, motive/means/opportunity, etc. to very reasonably include the valid examples and exclude the invalid ones.

The logic you propose suggests disregarding a subset of something because the total set doesn’t have the same characteristics. By that faulty logic, we should abandon all organic chemistry because inorganic molecules do not have the same properties, tell people with diseases that they should go home and suffer because they don’t have the same test results as well people, etc., etc.

Would you call that a scientific/mathematic approach, or perhaps one that smacks of a lack of investigation, understanding and objectivity?

It is starting with a pattern, and then /looking/ for all things in existence that follow that pattern. When phi enthusiasts come up with what seems like a large number of matches, they regretfully forget that their definition of large is devoid of all the things in life that /don’t/ match.

That smacks of a numerological not scientific/mathematic approach.

Hi Jane. Thanks for your comments. No bias was intended. This article is just a recap, it’s very difficult to find photos that meet my strict requirements for the photographic quality of images (see https://www.goldennumber.net/facial-beauty-golden-ratio-photo-analysis/) and in some cases the studies that I reference in this article had already chosen the subjects shown.

I show how the golden ratio applies to other ethnicities, cultures and eras on my pages below:

https://www.goldennumber.net/beauty/
https://www.goldennumber.net/joan-smalls-most-perfect-face-and-golden-ratio-beauty/

In my book, I have extended coverage of how the golden ratio applies to all ethnicities. See https://amzn.to/2Alf1rB.

I am glad I stumbled upon this page in an effort to better understand the Fibonacci sequence and the Golden Ratio. I remember years ago teaching a History of Math class and having students look at portraits such as the Mona Lisa to investigate the presence of Golden Ratio in art.

However, I must lament your lack of diversity in the celebrities chosen to illustrate these notions. Surely there are quite a few women of color, men, or non-binary individuals that could have been portrayed here.

Thanks for your consideration.
Jane

Thanks for the appreciative comments, and the correction on the timing of Euclid and the Parthenon. I’ve made the correction in the body of the article.

One small correction – the Parthenon was built more than a century before Euclid wrote his Elements (~300 BC), so well the architect may have known the “extreme and mean” ratio as Euclid called it, he could not have learned it from Euclid.

Thank you Ravindra. I strive for accuracy and balance throughout the site, so it’s good to know that this comes through. I too am stunned by the polarizing divide of statements on this topic, many by professionals in the academic world who you would think would do better research and fact-finding before making the statements they do.