i just have to throw this link in this subject
http://en.wikipedia.org/golden_ratio
Almost renamed this “So what is this Golden Ratio and what does it
Mean?”… But it’s good as it is… The Golden Ratio is easily
researched as to WHAT it is - I won’t get into that here. I’ll begin
with this quote from Mathworld:
In the Season 1 episode “Sabotage” (2005) of the television crime
drama NUMB3RZ, math genius Charlie Eppes mentions that the golden
ratio is found in the pyramids of Giza and the Parthenon at Athens.
Similarly, the character Robert Langdon in the novel The Davinci
Code makes similar such statements (Brown 2003, pp. 93-95). However,
claims of the significance of the golden ratio appearing prominently
in art, architecture, sculpture, anatomy, etc., tend to be greatly
exaggerated.
To think about the importance of the Golden Ratio in design - I’m
not pretending it’s not important - I am saying it’s not THAT
important - we need to ask ourselves, “Was the piece in question
designed using the Golden Ratio?” In the case of almost everything
everybody mentions - the pyramids, the Parthenon (for sure), the
Mona Lisa, DaVinci’s anything, the answer is unequvocally NOT.
Search for “Mona Lisa Golden Ratio”, and you’ll find beautiful
golden rectangles drawn here and there, for sure. Anybody who wants
to can draw any rectangles they choose in the same spots with the
same results - they don’t mean anything, it’s entirely arbitrary
(It’s actually based on a triangle). Fact is, the concept has been
around for a long time, but nobody much cared about it until the
1500’s and really not until the late 1800’s and after - that’s
debatable, I guess, but certainly not the pyramids.
From Wikipedia:
Some scholars deny that the Greeks had any aesthetic association
with golden ratio. For example, Midhat J. Gazale says, "It was not
until Euclid, however, that the golden ratio’s mathematical
properties were studied. In the Elements (308 B.C.) the Greek
mathematician merely regarded that number as an interesting
irrational number.
And:
It is indeed exemplary that the great Euclid, contrary to
generations of mystics who followed, would soberly treat that number
for what it is, without attaching to it other than its factual
properties."[16] And Keith Devlin says, "Certainly, the oft repeated
assertion that the Parthenon in Athens is based on the golden ratio
is not supported by actual measurements. In fact, the entire story
about the Greeks and golden ratio seems to be without foundation.
The one thing we know for sure is that Euclid, in his famous
textbook Elements, written around 300 B.C., showed how to calculate
its value.
The point being that the Golden Ratio is important. Mostly it’s
important in mathematics, because it pops up all the time. And it’s
not even really that important in mathematics - The General Theory of
Relativity is important. The math behind String Theory is important.
Bose-Einstein Condensation is important. The Golden Ratio is more of
a mind puzzle that maybe leads to some understanding of nature’s
plan. But the fact that we can go back to antiquity and draw
rectangles on things only means that it represents a pleasing shape,
and people like pleasing shapes. If something is designed using the
Ratio, then you have something - going back later and imprinting it
on art work is trivial and meaningless. So, learn what it’s about,
enjoy it, use it - you’ll get a finely shaped swimming pool if you
use the Golden Ratio. After that I’d suggest moving on to the nature
of curves - much more interesting and useful. Yes, mathematical
construct curves can be tied to the Golden Ratio, too, but Golden
Ratio curves are only a tiny percentage of curves (and only a
non-designer would use such a ponderous method to draw them). Get a
pencil and go “Swoop” on a piece of paper… I have three “real”
mathematicians in my family (particle, laser and other), and they do
have an endless fascination with how numbers make patterns, kind of
like going into a grocery checkout with 16 items and having it add up
to $60.00. Does that mean that everything, or indeed anything, in the
real world and especially artistic design needs to even nod to the
principle? No, not really, unless you just want to… On the other
hand you won’t get far without knowing what it’s about, either.