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Can Someone Explain The Golden Ratio In Very Dumbed Down Terms..


Davetrials

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I dont think i was clear enough when i said dumbed down....

im basically trying to understand this

they noted that objects proportioned according to the golden ratio seemed more attractive. Some modern research seems to confirm this, in that people whose facial features are symmetric and proportioned according the golden ratio are consistently ranked as more attractive than those whose faces are not.
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basically dave - because your facial features are not symmetic and your nose is a wee bitty out of proportion, your not as attractive as i am....thats what its saying

they noted that objects proportioned according to the golden ratio seemed more attractive. Some modern research seems to confirm this, in that people whose facial features are symmetric and proportioned according the golden ratio are consistently ranked as more attractive than those whose faces are not.
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The fibonacci sequence...you know what that is dave?

1,1,2,3,5,8,13,21,34,55,89 etc

Call each sequence n=1, n=2, n=3, n=4 etc etc. If you:

 
n=2 / n=1

 = 1
Now do:
n=3 / n=2

 = 2
Keep going:
n=4 / n=3

 = 1.5
n=5 / n=4

 = 1.66666667
n=6 / n=5

 = 1.6

If you keep going to infinty, the fibonacci sequence converges at the golden mean. IE 1.618

Bit more info there for you. Ive got a really cool matlab script I had to write for uni if you want a bit more info

EDIT: Worked a bit more here:

x y

1 1

2 2

3 1.5

4 1.666666667

5 1.6

6 1.625

7 1.615384615

8 1.615384615

9 1.619047619

10 1.618181818

post-6800-1239223918_thumb.jpg

Edited by PaRtZ
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Please tell me you didn't just say that :P

it makes graphs! :P

I actually like matlab once you're used to it. Silly pointless stupid maths questions because a few clicks away, as per real life really...

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At the risk of sounding patronising....

I care not to try and find out why - so I'll say it's for "some reason" - our brain prefers rectangles of a particular proportion. This is 1.618... (phi)

It's just a ratio... 1.618:1.

Widescreen monitors look nicer 'cause they're closer to this "golden ratio".

Square monitors have a ratio of 4:3 (1280x1024 etc...). 4 / 3 gives 1.333 - or 1.333:1.

Widescreens have a 16:9 ratio (1680x1050 etc...). 16 / 9 gives 1.777 - or 1.777:1.

This is obviously closer to the magical 1.618:1, so our heads prefer it's proportions ("for some reason" :P)

A golden ratio'd screen would be more like 16:10, being that 16.18 inches is getting a bit anal :P

To link this in with the beauty aspect (taken out of proportion for the sake of ease):

If your head is an foot wide, if it wasn't close to 1.618 feet tall, you'd start looking a bit weird. (Bottom picture)

face.ratios.gif

The other ones are just showing some other relations to phi found on the human face. The more of these that conform on a persons face, the more beautiful they will appear.

This picture you were on about the other day is another example.

davinci.gif

230.jpg

arm.gif

And this can be taken further:

goldenratio.png

The other famous useage of it is in the spiral picture you'll've seen a good few thousand times.

image19.gif

This is where the fibonacci sequnce Partz was on about comes in.

This occurs everywhere.

Nature knows all about it.

Most common example is sunflower heads. The seeds grow organised into this spiral.

sunflower.jpg

The spiral works in both directions.

I sure hope I didn't get it wrong... It's been a while.

Interesting stuff though. Search for "Phi". It's the name given to this irational number 1.618....

Symbolised by this greek symbol, if you wonder what it all means:

Phi.png

30ff36a6f91b36b0941d4ab16a627fee.png

Edited by aener
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