Keywords: golden section, golden ratio, golden mean, phi, symbolism, age, aquarius, pisces,
fibonacci series, numbers, mathematics, sign, peace, cello, violin, divine proportion, universal
1. This figure I designed
as a reference to
the Golden Ratio or Golden Section.
The Golden Mean (or Golden Section), represented
by the Greek letter phi, is one of those
mysterious natural numbers, like e
or pi, that seem to arise out of the basic
structure of our cosmos. Unlike those abstract numbers,
however, phi appears clearly and regularly in the realm
of things that grow and unfold in steps, and that includes
living things. Also called the
Divine Proportion, it can be observed, for example, in the
growth patterns of plants and shells, and in the proportions
of the human face. "Equally striking is the fact that this number has been the subject of numerous experiments in psychology."[1] More about the symbolism of phi
in my life in WRR006.
Fibonacci Number Series
If you start with the numbers 0 and 1, and
make a list in which each new number is the sum of the previous
two, you get a list like this:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... to infinity-->
This is called a 'Fibonacci series'.
Golden Ratio
If you then take the ratio of any two sequential
numbers in this series, you'll find that it falls into an
increasingly narrow range:
1/0 = Whoa! That one doesn't count.
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.6666...
8/5 = 1.6
13/8 = 1.625
21/13 = 1.61538...
34/21 = 1.61904...
and so on, with each addition coming ever closer to multiplying
by some as-yet-undetermined number, phi.
The first graph shows these ratios plotted
individually and the second, a graphical shape derived from
the Golden Ratio, which my design is based on.
The golden ratio is deemed to have the most
aesthetically pleasing qualities. For example, a golden
rectangle - one built to those proportions - is
thought to be the most attractive to the eye.
Due to these natural aesthetic qualities,
many artists have used the golden mean and related mathematical
principles in an effort to optimize the visual impact
of their work.
The "scroll" of a violin or cello and other
parts of the body of these instruments are based on
the Golden Ratio.
The shape of the bass clef in which music for my instrument,
the cello, is mostly notated.
Most intriguing
to me, however, is that this shape also describes my
emotional and spiritual journey over the last 12 years
- with the effect of bipolar highs and lows diminishing
over time to a point in my life where I have found balance,
where my "manic
thoughts" do not affect me emotionally anymore.
By inverting the graph I also
imply the divine source (above, heaven) of my emotional suffering,
yes, of all agony and ecstasy, of everything in life in the
most general way. It seems to me that phi does not only manifest
in our physical cosmos, but also in our metaphysical reality.
2. This figure that
looks like a #-sign has great symbolic significance for
me, which I have discussed in various articles: Confessions
6 and WRR006.
To me it symbolizes:
mathematics and music as the most universal of languages,
my faith in the following equation: God = Creation
(ll and = superimposed),
with which I imply that everything is sacred,
that good and evil is one (Christian and Satanic crosses
superimposed),
hence my interpretation of the Biblical Book of Revelations
that the Christ and Antichrist is one.
The wave shape of the double lines is a reference to
the symbol of Aquarius, the sign I was born under.
3.The animation
in the top right corner of the page symbolizes the current
transition from the Age of Pisces to the Age of Aquarius.
A
fascinating coincidence is that astrologically the Age of
Pisces started about 2000 years ago around the time when
Christianity was founded. The sign that Christians used during
times of persecution to identify each other was a fish like
the one above. The Greek word for fish is ICHTYS, which was
an acronym for "Jesus
Christ Son of God Redeemer".
Isaiah 40:4-5 (NIV)
Every valley shall be raised up, every mountain and hill made low; the rough
ground shall become level, the rugged places a plain. And the glory of the
LORD will be revealed. And all mankind together will see it.
I quote this verse here because the two lines
that both these symbols consist of could also be seen as
valleys and mountains, in the case of the symbol for Pisces:
one of each and in the case of the symbol for Aquarius: a
series of them. It is at the time when these two Ages meet,
the transition between them, that this prophecy. I believe,
will come true.
4. The letters "im" in
the word
"impossible" I made nearly invisible to express
my faith that "peace" is a possible dream.