Phi
Phi is a unique
number, found in art, architecture, and throughout nature. It is the basis
for the Golden section (also called the golden mean or ratio). It is named
for the Greek letter used as its symbol: 
Phi= 1.618033988749895...
Golden Ratio
The Golden ratio is a proportion,
determined by the number Phi.
To find the Golden Ratio, one must divide a line so
that the ratio of the line to the larger segment is equal to the ratio
of the larger segment to the smaller:
This can be done by making a= b x phi
The ratio of the length of line (A) to the length of
line segment (B)
is the same as
the
ratio of the length of segment (B) to the length of segment (C):
Creating
a square from the long segment of the line, and connecting to form a
rectangle on the short end, we get a Golden Rectangle:
The arms of a Pentacle
conform to the golden ratio:
Fibonacci Sequence
Expressed
as a numerical sequence, Phi is very close to the Fibonacci
sequence. The Fibonacci sequence is a series of numbers
obtained by continually adding each number to that before it: 1, 1, 2, 3, 5, 8,
13, 21, 34, 55, 89, 144, etc.
The
Phi ratio is often found reflected in nature- in the spirals of the
nautilus, in the growth patterns of plants, the structure of DNA. Buildings
such as the Parthenon and the Cathedral at Chartres were built using
the Golden Proportion.
If
you add a square to the long side of the "golden rectangle,"
you'll get a larger golden rectangle:
 
If you continue to add squares in this way, you'll see the basis for
nature's spiral patterns.
Finding
the Golden mean in the human body: (coming soon)
Can't
find what you're looking for? Something missing, broken, or incorrect?
Have an idea or a question? Let us know in the Discussion
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