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View Full Version : Phi - the golden number / divine proportion



druidsgirl
25th February 2009, 10:40 AM
What is it? Rounded down to 3 decimal points it's 1.618

This number has been with us since evolution and most probably since the Big Bang.. there is no record of it when it was first discovered however it is evident in ancient structures that still stand today such as the Egyptian pyramids and the Parthenon in Athens which was built by sculptor and mathematician Phidas (500 -432 BC)

Plato (428 - 347 BC) also used Phi is his works relating to his views about natural science and cosmology

Euclid (365 - 300 BC) also used Phi to construct a pentragram

Kepler used Phi to explain the planteary system

The 2 most widely known usages of Phi are by 12th century mathematician Leonardo Fibonacci whose name is now used in a number sequence - starting at 0 and 1 add the 2 preceeding numbers to achieve the next therefore his
famous sequence goes as follows 0 1 1 2 3 5 8 13 21 34 55 89 144 etc - however if you divide 5 by 3? or 8 by 5? Guess what? yes Phi!!

The second is the one MOST of us have heard of - Leonardo da Vinci used Phi to construct the perfect man whom he named after Vitruvius a Roman architect that lived around the time of Christ who constructed temples - in other words the Vitruvian Man... da Vinci used Phi as did many Renaissance artists in the 16th century to portray balance and beauty in their works and is used in da Vinci's The Last Supper..

so... what about today? Does Phi have a place in 21st century society? Yes..
What is ratio to your own height to the height of your navel to the floor? Phi... What is the ratio of the length of your arm to finger tip and elbow to finger tip? Phi - These are only a couple of examples in ou own bodies and every other mammal has the same ration phi:1 in their bodies

What about sunflowers - the seeds form spirals 55 clockwise 89 anticlockwise - Phi AGAIN!

The ratio of the segments in insects such as an ant, beetle? You guessed it Phi

It's also evident in trees, fish!

It's everywhere we look, and todays architects will use 1.618 in their measurements to give asthetically pleasing buildings to the eye..

If you want to learn more about this, the history of it, where it can be found around us in our daily lives and good site to visit is

www.goldennumber.net

Tracey
25th February 2009, 10:31 PM
Thanks for that info Druids. I didnt know it was used that often though should do as my middle son is the maths brain in our family and he was drumming maths into my head the last 6 yrs. OMG I hate maths lolllllllllllllll

Now I am copping it again as he just started Actuarial Studies at Uni and he is coming home giving it to me again lolllllllll. I try to be the good mother and listen like Im interested lollllllllllll How can anyone love Mathematics so much.....its not normal lolllllllllll

I believe the egyptians used calculations a lot or was it something paranormal?
I used to love to watch chariots of the gods on telly.

druidsgirl
26th February 2009, 09:22 AM
Maths wasn't my favourite subject either!!!! But hey, it's fun to find these things out! Thankfully the stereotypical "accountant" has disappeared and are now rather trendy folk!! Actuary? - One intelligent offspring!!!!

lotsapockets
26th February 2009, 03:12 PM
Phi apparently was used in the construction of a lot of the monastic towers around Ireland such the ones at Glendalough, Glasnevin and Clondalkin. The Inside circumference at the bottom of the towers is the same as the outside circumference at the top of the towers, the ratio between the inside and out side of the walls is Phi, or at least that is what I have been told, I haven't broken out the tape measure personally!

druidsgirl
26th February 2009, 04:15 PM
:goodpost: cheers Lotsapockets! I wasn't aware it is in Round Towers - but it does make sense! Therefore, it would be not unlikely for Phi to be used in the construction of neolithic tombs - one wonders Stonehenge / New Grange etc

Hey Tracey... any chance the Aborigines used it too?

If the Egyptians used it.. the Incas and Aztecs must have done in their pyramids..

Once you open ONE book it leads you to a zillion others! Off I go and read some more!!

Tracey
27th February 2009, 12:25 AM
will have a little look at the aboriginal stuff like that. They didnt build structures though, they are nomadic people and would go on walkabout. They just built camps where they stayed from bark and wood or lived in caves from place to place.

You know Druid...I didnt even know what Actuary was till my son said that is what he wanted to do. Must have got his brains off his mother ...he he..well that is what I tell his father ;-) Its a pretty hard course apparently. 1/3 fail it. You cant just pass, you have to get at least credit in the subjects. His whole class is basically chinese and has made lots of chinese friends already. Many have relatives in the city who own stores with chinese food and other stuff. He is getting to try all this chinese stuff.

He said that when he finishes he has to some test to get into the Society of Acturarians. I laughed and said to him" oh we are coming up in the world arent we...your going to be a snooty little actuarian are you. Good you can earn lots of money and look after your olds in their old age lolllllllllllllllllllllll"

druidsgirl
27th February 2009, 10:15 AM
Sounds great Tracey - imagine a nice villa with a swimming pool looking over your own private beach, hey private island - go the whole way...

To get there.. it takes a lot of study. so wishing your son every success!!!