## The Golden Ratio Equals 1.61803399.. : Intro

Have you ever heard of the Golden ratio? If you were studying mathematics you heard of it as something like this:

Yeah, it is irrational number. Not cool at all, I know. Why on EARTH I mentioned it here?? Please read the following..

The Golden Mean or Phi and the Golden Ratio abound in nature and perhaps humanity has been genetically programmed to recognize the ratio as being pleasing.

Try to create an artwork by following the Golden Ratio rule and then create exactly the same thing, but in different ratio and ask your friends and other people which one they like best. You will be suprised.

Further in time, I will upload here some stuff and comments considering this issue.

More interesting stuff about the Golden Ratio you can find in Photography e-Book: The Golden Ratio.

## 20 Comments

## student ;D April 17th, 2011 at 8:15 pm

ok?

## student :D April 17th, 2011 at 8:14 pm

good but i need a short definition for my homework, plz send the definition to die4iraq56@yahoo.com

## servais October 3rd, 2010 at 8:40 pm

PERSONNE A TROUVER PHY? c’est le principe même du developpement

de l’univers depuis le début des temps: la preuve la voix lactée a sa forme exactement basée sur PHY ,tout commme un escargot(coquille) ou le tournesol

fibonacci a identifié le ratio mais il existait par tout!

Phy c’est TOUT et UN à la fois c’est un principe mathématique intemporel et déjà là bien avant l’homme, personne ne peut se l’aproprier d’ailleurs c’est la meilleure clef de cryptographie MONDIALE!

## servais October 3rd, 2010 at 8:37 pm

PERSONNE A TROUVER PHY? c’est le principe même du developpement

de l’univers depuis le début des temps: la preuve la voix lactée a sa forme exactement basé sur PHY ,tout commme un escargot(coquille) ou le tournesol

fibonacci a identifier le ratio mais il existait par tout!

Phy c’est TOUT et UN à la fois c’est un principe mathématique intemporel et déjà là bien avant l’homme, personne ne peut se l’aproprier d’ailleurs c’est la meilleure clef de cryptographie MONDIALE!

## humbern April 30th, 2010 at 5:28 pm

In any case, I’d like to read your ms, just because I like phi for so many reasons, including it’s emergence as the limit ratio of the Fibonacci sequence.

## humbern April 30th, 2010 at 5:27 pm

Just because a number N can be constructed out of transcendentals doesn’t make N transcendental. After all e^(i*pi)=-1, but that doesn’t make -1 transcendental.

## humbern April 30th, 2010 at 5:23 pm

The reason phi is irrational rather than trancendental is NOT because “phi^2 = phi+1,” but rather because phi = (sqrt(5)+1)/2

## E.E. Krieckhaus March 22nd, 2010 at 2:21 pm

ABSTRACT

Everyone knows that phi, the Golden Mean, as an equality of ratios of line segments, is not transcendental (trans) because it can be expressed algebraically as the root of a particular polynomial equation (equ) as equ 1.

1) phi2 = phi +1.

But this relationship expressed algebraically in equ 1, is a theorem in Geometry which only incidentally can be expressed in this algebraic notation. Thus this apriori ban on phi being trans should be lifted, and there should be a simple exact prof that phi is trans, which is provided in equ 4 (of the ms).

4) ((phi / 2) – 1)2 = 5 = T2 / 1 – e-T2.

Because T2 is just a transformation of the trans, e, then our geometrical phi, is an exact function of the trans e, and is trans in equ 4. Q.E.D.

If anyone interested will send short paper.

## ano February 9th, 2010 at 5:20 am

the golden rule is all bullshit!

## nabil July 23rd, 2009 at 1:17 am

compare this golden number with “the Holy quran” u’ll find something U’all have never expected before

## Predrag August 4th, 2007 at 2:43 pm

There are lots of books covering PHI, but you won’t like them much if you are not a mathematician. However, almost every serious design theory book or study has a significant part about golden ratio (phi).

## munkyy August 4th, 2007 at 10:51 am

I know that “PHI” by reading the DA VINCI CODE, any other book writing more spercific about this? I feel interested in.

## Predrag June 26th, 2007 at 11:44 pm

Well, pramodh, from the angle of mathematics , all these proportions are the same in value. However, golden ratio (phi) is the only one proven to work in design.

One particular research proved that people with golden proportions on their faces (some distances, can’t remember which ones), are more appealing to opposite sex.

There is no geometrical significance, it is the ratio created by an array of Fibonacci numbers.

## pramodh June 26th, 2007 at 4:30 pm

definitely sounds interesting but i really dont see why it is any different or more significant than pi or e which are special in a different way. for eg pi is the ratio of the circumference to the diameter of any circle.

and e is the ratio of the volume of any sphere to the volume of the largest cube inscribed in it.

what then is the geometrical significance of phi?

## rick james June 8th, 2007 at 7:42 pm

excuse me about the transcendental thing, i meant irrational, the two are quite similar when speaking of computers…

## rick james June 8th, 2007 at 7:40 pm

one awesome thing about the golden ratio is that it is transcendental, in other words it cant be calculated. thus it can be used as the seed for newton’s method, and higher order calculus algorithms, in their computer implementations, to make them run infinitely faster.

## Kepler February 9th, 2007 at 1:46 am

Mario Livio has a great book on this. For the layman and the experience mathematician alike

## Predrag September 15th, 2006 at 12:03 am

Well, I will for sure, since you are not the first one asking. Very soon (in a week from now approx.) I’ll publish some real-life work and examples.

## ameya September 14th, 2006 at 6:50 pm

Sound very interesting, but man can u post some more work on

Golden Ratio.