The
Divine Proportion
If
you have not seen the following article that was initially sent two years ago, I
hope you will enjoy it and if you have seen it, I hope you will discover
something that you missed the first time.
I
have always been fascinated by numbers. The most interesting number of all is
one I encountered many years ago in my Design 101 class at Auburn University.
This number is identified in the mathematics community as the Greek letter phi,
expressed numerically as simply 1.618. It sounds boring enough until you learn
how often and where this number keeps turning up in our lives.
Phi was
used by the ancient Greeks who employed it prominently in their art and
architecture. It was re-introduced to the civilized world in the early 13th
century, by the Italian mathematician, Fibonacci, who stumbled upon this series
of numbers while conducting a study of the reproductive cycle of rabbits! Since
then it has been known variously as The Golden Mean, The Divine Proportion, or
the Fibonacci sequence. This mystical ratio is prevalent in all forms of life on
this planet, from the microscopic structure of our DNA to the tiny spirals of a
seashell to the mind boggling swirls of a galaxy. Could this be a colossal
coincidence or have we literally uncovered the intrinsic building block of the
universe?
The Fibonacci numbers may sound a bit
intimidating, but are actually understandable on the level of basic eighth
grade math. The sequence is constructed by continually adding the
previous number in the sequence to produce the next number, starting
with 1 as follows: 0,1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,
377, 610, 987, ad infinitum. Once you get to number 8, its ratio to
the preceding number (5) is 1.625. With each succeeding number after that, this
ratio of the last two numbers gets closer and closer to the mystical
1.618.It should also be noted that not only does phi appear repeatedly in
nature, but the individual numbers in the Fibonacci sequence also make frequent
appearances in interesting places like the petal count on violets or daisies or
the florets in the swirls of a sunflower (counts of 55, 34, and 21); all
just coincidentally specific numbers in the Fibonacci
sequence!
When
plotted geometrically, phi is found repeatedly in patterns and proportions in
nature, the human body, art and architecture, even people's behavior. It has
become so accepted now in the financial community, that many professional money
managers and market traders use Fibonacci ratios on their charts to time when to
enter or exit a trade and would not think of doing business without
them.
Here are
a few more examples of The Divine Proportion.
Check out your own body. The distance from your belly button to
your toes will be about 1.618 times as long as the distance from your belly
button to the top of your head.
Check
the ratio from the tip of your longest finger back to the first finger joint,
from there to the second joint, then to the third joint, and from there back to
your wrist joint. Each succeeding joint will be about 1.618 times greater than
the one before. Then from your wrist back to your elbow will be about 1.618
times longer than the distance from your wrist to your fingertip, and from the
elbow back to your shoulder will be 1.618 times longer than the distance from
your elbow to your wrist. Phi is even found in our DNA spiral! That's about as
fundamental as you can get.
So
the next time you encounter a landscape design or an architectural structure
that is not pleasing to the eye, you may find the source of the irritation may
be the missing phi. And the next time your stock reaches a new high
and "consolidates" for a while, you may now understand why it will then proceed
to retrace to the level of about 62% of its upward move (giving up approximately
38% of its gain, while you gnash your teeth) before it resumes its upward
trend.
It
never hurts to keep in touch with what Mother Nature has up her sleeve, or to be
in harmony with our planet and our Creator.
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A critical creative look at issues of Economics, Politics and Finding a Purpose in Life - Let's talk about it. I try to leave the woodpile higher than I found it.
Monday, March 16, 2015
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