T.N.G. SIGNS
OF THE TIMES - N.M. July 14, 2007
(#171)
Greetings from
Russell's Remnant: www.oocities.org/dkone_us
The Golden
Mean – Part 2
Where –
continued
A
particularly elegant manifestation of the Golden Mean is in the design
of Japanese sand gardens. Often
three rocks are laid out collinear on a line such that the line segments they
define are in golden ratio proportion to each other. Two lines of rocks can be at an angle to each other also
determined by the golden ratio. The
entire effect is that of correct proportion achieving balance and
tranquility. Scholars of the occult
have speculated that the Golden Mean was of supreme importance to the ancient
Pythagoreans as a key to unlocking the mysteries of the universe. One of these mysteries is that from the
Golden Mean. home.earthlink.net
The
spiral is derived via the golden rectangle, a unique rectangle which has
the golden ratio. When squared,
it leaves a smaller rectangle behind, which has the same golden ratio as the
previous rectangle. The squaring can
continue indefinitely with the same result.
No other rectangle has this trait.
When you connect a curve through the corners of these concentric
rectangles, you have formed the golden spiral.
The Pythagoreans loved this shape for they found it everywhere in
nature: the Nautilus Shell, Ram’s horn, milk in coffee, the face of a
Sunflower, your fingerprints, our DNA, and the shape of the Milky Way. In the anatomy of man, the spinal
vertebrae are relative to each other in the Phi ratio. fusionanomly.net/goldenmean
Greek playwrights and architects insisted that “Success
in art is achieved by meticulous accuracy in a multitude of mathematical
proportions.” The Golden Mean
is a surprising clue to the proportions of the human body. The length of the first finger joint is to
the length of the next two joints as those two are to the length of the whole
finger. The length of the middle finger
is to the length of the palm as the length of the palm is to the length of the
whole hand. The length of the hand is
to the length of the forearm as the length of the forearm is to the whole
length from fingertip to elbow. Experts
have found that this proportion runs through the whole human skeleton - not
exactly of course, but as a kind of “ideal” proportion or standard. Leonardo da Vinci called it the “Divine
Section.”
The
golden ratio is about 1.618033988749894848204586834365638117720309180… The golden ratio is the unique ratio such
that the ratio of the whole to the larger portion is the same as the ratio of
the larger portion to the smaller portion.
As such, it symbolically links each new generation to its ancestors,
preserving the continuity of relationship as the means for retracing its
lineage. ansdelm.edu
Results
reach a perfect balance when phi, the Golden Ratio, is the natural
fulcrum. Mathematics predicts that favorites
will win 38.2% of races, with an average of 38.2% of the people actually
choosing that starter. In fact, the
percentage of people who choose any starter is a very good indicator of its
chances of success. home.ozinet.aunz.com
Spiritual
During the Renaissance, Phi served as the “hermetic”
structure on which some of the great masterpieces were composed. Notable artists such as Michelangelo,
Raphael, and Leonardo da Vinci made use of it for they knew of its
appealing qualities. Any objective
observation we make must include a discussion of proportion for it is the rule
of proportion in the examination of nature that causes us to observe an organized
universe and a universe in chaos, rational and irrational numbers, harmony
and discord, truth and falsity. These
descriptions are merely proportional effects of the opposition that is inherent
in all things. We see harmony
expressed by emotions, feelings, and characteristics present within
ourselves. This harmony is viewed
within nature as the Divine Proportion.
Throughout history, Phi has been observed to evoke emotion or
aesthetic feelings within us. The Golden
Mean tells us that opposites are not equal, that all does not spiral down
to meaninglessness necessarily.
fusionanomly.net/goldenmean
The Golden Proportion is analogous to God’s relationship
to creation. In the golden
section, we see that there is only one way to divide a line so that its
parts are in proportion to, or in the image of , the whole:
|___________B___________|_____C______| |_________________A__________________|
The
ratio of the larger section (B) to the whole (A) is the same as the ratio as
the smaller section (C) to the large section.
Only by tri-viding the whole does each piece retain its unique relationship
to the whole. Only here do we see three
that are two that are one.
Phi as a door to
understanding life: The description of
this proportion as Golden and Divine is fitting perhaps because it is
seen by many to open the door to deeper understanding of beauty and spirituality
in life. That is an incredible role
for a single number to play, but then again this one number has played an
incredible role in human history.
evolutionoftruth.com
The
Golden Mean is a way of looking at the world. It is a special relationship between a part
and a whole that acts as a formula for harmony and beauty. Working with the Golden Mean is an
ancient form of spiritual practice.
heall.com
The
renaissance architects of Florence knew all about proportion. “Perfection” was based on the Greek
ideal of the Golden Mean: the ratio - between two sides of a rectangle when
this also equals the ratio between the sum of the two sides and the longer
side. The number is 1.618034 and is
also seen in the sequence of Fibonacci numbers. oocities.com/omegaman_UK
In mathematical terms, the Golden Mean is a ratio of the
irrational number .618…:1 or 1: 1.618…
This means that if you constructed a rectangle (or a wall) to Golden
Mean proportions, its sides would be in a ratio of 1 (foot, yard, inch or
whatever) to 1.618… times that. For
example, if a wall is10 feet in height, to be in Golden Mean proportion its
length would have to be either 16.18 or 6.18 feet, etc. The wall, as a physical representation of
the Golden Mean ratio, is a continuum that approaches the Infinite, but never
reaches it. It approaches perfect
balance, the Ideal, but can never capture it. The dynamic essence of any structure using this proportion, is
endless motion towards perfection.
Throughout history, from ancient Egypt to Einstein,
buildings incorporating the Golden Mean have been considered to be the
closest we can get in form to the Ideal. This is why the Golden Mean has also been called the “divine”
proportion, the Godlike proportion, the divine section, etc. archdome.com
Because we harbor the Golden Mean Spiral at our own
heart’s core, we exist multidimensionally by virtue of our own infinite
holographic and fractal characteristics.
This means that we all exist within every person, animal, plant,
star, planet, species, etc, throughout all creation and on all planes of
existence. Simply put, the Golden Mean
Spiral is a doorway that weaves the ethereal and material dimensions
together. In fact, the Golden Mean
Spiral is an expression of the basic energy of creation that we call love. When you relate Great Spirit or
consciousness and the opening of the heart to geometry, you are creating Sacred
Geometry. Therefore, Sacred Geometry
is about how to open the heart and evolve the consciousness through
geometric models. These models mirror
your consciousness. In general, because
the golden mean has no beginning and no end, it then becomes a fairly
good metaphor for spirit in a material reality. The golden mean (or spirit) can be observed,
but it cannot be bound at its beginning or its end. One of the characteristics of the Golden Mean Spiral is that
it continues on in ever diminishing spirals. The spiral soon becomes so infinitesimal that, theoretically, it
could break the plane of one dimension and enter another dimension. Once it does this it could begin again
inside another dimension as a comparatively large spiral, working its way down
to becoming smaller yet again until it would break that dimensional plane and
move into another one and onward into infinity. Even though this is a linear model, it will be sufficient to
demonstrate the basic idea. Dan Winter
suggested that the golden mean spirals infinitesimally smaller and breaks the
plane of the third dimension. This time
however, the golden mean spiral enters into a dimension of frequencies
that are at a speed of light and beyond. The golden mean then, can be used as a symbol or an
analogy for spirit in the material, and it also can be used as an analogy
for the thread that ties the material and ethereal dimensions together. The characteristic of the Fibonacci
(always attempting to approximate the Golden Mean with greater accuracy) can be
used as a metaphor for our human condition, which will help us gain deeper
insights into the nature of spirit.
If the Golden Mean is used as a metaphor for spirit and the Fibonacci
is used as a metaphor for physical incarnation (spirit incarnating into the
physical and attempting to perfect itself to the ideal), then
metaphorically, our physical incarnation begins as a Fibonacci life form. Without full memory of the whole and
integrated picture of the universe, we start off our young lives in a seemingly
erratic pattern of identifying ourselves as purely physical beings that are
finite and mortal. As we gain
experience and wisdom through the physical incarnation, we begin to sense and
discover our spirit and begin the process of identifying ourselves more closely
with our greater selves. Our
attraction to move closer to God is like Fibonacci’s attraction for
approximating the Golden Mean.
Eventually the thoughts , emotions, and desires of the physical being
approximate the ideal very closely. At
that point the Fibonacci and the Golden Mean are in such a close
relationship that a type of bridge is created between spirit and the physical
being. The limited beliefs of the
physical being can be released and the realization of the unlimited potentials
available within spirit can be embraced fully by the human being in the
physical. floweroflife.org
Plato’s Academy was the earliest institution of higher
learning. Its curriculum was frankly
inspired by the old program of the Secret Brotherhood. When Plato’s teacher, Socrates, was put to
death by the Athenian government, Plato had fled to Sicily. There he studied mathematics under
noted Pythagoreans and picked up mystical ideas. ansdelm.edu
Do:
The Golden Mean or Golden Ratio (1.6180339
rounded off to 1.618) should have it’s own day which makes August 13th
the day that is 61.8% of the way through the year - a fitting day to proclaim
Golden Mean Day. Figure out what 61.8
of your school year would be or 61.8% of a specific month.
The Golden Mean sometimes “happens” in a
musical composition about 61.8% through it either measured in seconds or bars.
Have
students measure their height and their height just to their navels. Divide the total height by the “navel”
height. The result should be a number
close to the mean. enc.org