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Hey. I have an assignment on The Golden Ratio for maths. I've looked it up on Google already, and visited some sites, but I still don't know much about it. All I know is that it is also known as Phi. Similarily, it is like Pi, the value goes on forever. Can anyone help me by explaining to me exactly what is The Golden Ratio? Thanks!

ah yes phi, basicly (and VERY basicly here) it is the number by which pretty much anything can be worked from.
it can be used to calculate the gravitational effect of a black hole, the fusion ratio of a star, the relatie frequency of live stars within any given galaxy, its also used by LOADS of conspiracy theorists.
i'll go see if i can find the article that details its full uses.

edit: okay cant find the article (i'll go check my room for it in a mo) but apparently, phi meson is an medium weight elemntary particle, that dcays, does some stuff, then becomes an exotic particle called hypernuclei, these decay into pions.
in other words absolutely nothing to do with the golden ratio.

Lol. Ok ok! You're smart!! I'm in year 8, things don't have to be that complicated, lol..

phi at year 8?
they must REALLY hate you!
(ive found the article by the way

edit: okay summing it up a bit PHI goes thusly:

people find certain objects more pleasing, these objects have a particular ration in their sides, PHI obiously.
the leaves on a plant, the sunflowers seeds, heads and a seashells spiral, all occure in accordance to phi.
phi was first detailed by the greek mathmatician, Euclid of alexandria atound 300BC, although it may have been know to pythagoras 200 years earlier, no records of it back then remain.
Euclid defines it as of a line divided into two unequal sections, the ratio of the smaller one, to the larger one being PHI
(it goes something like 1.6180339887... )
however its wierdness doesnt stop there.
you can sqaure it by adding 1.
and find its reciprocol by taking 1.
choose any two numbers, form a third by adding the first and second, make a fourth by adding the second and third, and a fifth by adding the third and fourth, do this until you hve twenty nnumbers, divide the 20th by the 19th, and youll find its exactly phi.
the thermodynamics of a black hole are inexoribly linked to phi, as a black hole spins, and releases energy, it defies all laws of science, and builds heat, the eqaution for the spin, the ratio of energy spent and the heat increase are all calculable by phi.
in other words, PHI PWNS joo!

Ronald..??!!?!

Is that you?!?!

If it is... Ms Chan's giving you some bloody hard work..

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I'm heading up for Year 10 and I havent done Phi yet.

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kudos sasha+gregory // PPT's Unofficial President

I learnt that the Golden Ratio had some link with Fibonacci numbers too.

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Phi has also been used extensively by artists, architects, and musicians to calculate the most pleasing proportions in their works. There's a book titled Math and the Mona Lisa which discusses phi extensively. Some musicologists also say that Johann Sebastian Bach often puts the "high point" at a place so that the number of measures before it divided by the number of measures after it is very close to phi.

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Hmm... I'll try and do my assignment now, based on what you guys said. Thanks to all of you, especially Setekh.

Wayne, no, it's not me . What happened to your posts count? All that 25000 posts for nothing, hahaha. What a waste of time, lol.

Anyway, if you guys find anything that can still help me, please do post it here. Thanks!

I just tried the PHI trick with the 20 numbers and it owns every math trick I've ever seen. Awesome.

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the connection between phi and art, is unconfirmed, noone is entirely sure where that triangle is supposed to go, on the mona lisa.
there are also unconfirmed reports that phi appears in the pyrmid eqautions too.
and twas no trouble
(and phi is a university level thing by the way, im just freakishly interested in odd things like phi, and pi)