FIBONACCI SEQUENCE
     In the Fibonacci Sequence, the first two numbers a 1, and ever other number is the sum of the
     last two numbers that preceed it. It proceeds as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,...

The Golden Mean is a ratio that is present in the growth patterns of many
things--the spiral formed by a shell or the curve of a fern, for example. The Golden
Mean or Golden Section was derived by the ancient Greeks. Like "pi", the number
1.618... is an irrational number. Both the ancient Greeks and the ancient Egyptians
used the Golden Mean when designing their buildings and monuments. The builders
of Paestum used the Golden Mean in their temples. Artists as diverse as Leonardo
da Vinci and George Seurat used the ratio when constructing their paintings. These
artists and architects discovered that by utilizing the ratio 1 : 1.618..., they could
create a feeling of order in their works. Even today, artists are still using this
proportion in their works, and scientists, like Roger Penrose are discovering new
things about the Golden Mean and its place in science, mathematics, and nature. ..

What is The Golden Section? The golden section is a line segment divided into two parts. Point C is
positioned such that the ratio of the short half to the long half is equal to the ratio of the long half to the
whole.

Symbolically:

A------C---B where CB / AB = AC / AB, or AB^2 = BC x AC

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