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The Fibonacci Sequence
is a numerical convention that can be translated into many forms. It has
been used in mathematics, architecture, poetry, music, art, and even as
a system for predicting the growth of the stock market. It was developed
by man named Leonardo of Pisa. Leonardo called himself Fibonacci which
is a derivation from a Latin phrase "filius Bonacci" or "son of Bonacci."
Even though he was originally from Italy,
Fibonacci was educated in Bougia,
North Africa and learned the "Hindu-Arabic" mathematical system from Moorish
teachers. He saw advantages to this system and was one of the individuals
responsible for introducing it into Europe.
The system, when applied to a composition can dictate placement of elements
in the artwork. This results in elements that have a sort of 1/3 to 2/3
ratio making the composition more interesting. The true ratio is actually
1:1.618034. This is also called the Golden Mean and was used by the Ancient
Greeks in the design of their architecture.
The composition that I have illustrated above, shows the Sequence applied
in a spiral pattern. Starting with 1 x 1 square (yellow), above a 1 x
1 square (white), then bounded by a 2 x 2 square, then a 3 x 3 square,
a 5 x 5 square, etc... spiraling outward from center. The abstracted figure
is applied to composition. The system can also be used by dividing a rectangle
by the Sequence's inverse, or .618034. This ends up being something akin
to the 1/3 to 2/3 ration which I mentioned above.
Artists who used the Fibonacci Sequence in their works include
Leonardo da Vinci,
Albrecht Durer,
Piet Mondrian, and
Michelangelo. If you dissect
a work like Perugino's Madonna Enthroned with Child and the Saints
John the Baptist and Sebastian , you will notice that the saints are
set into rectangles which reflect a .618034 ratio of the total width of
the work, measuring from each side inward.
Hint: When designing a drawing, divide up the paper into sections
based on this principle, then place your subjects into these divisions.
Don't follow the lines so exactly that they are evident, but allow for
some natural flow to extend beyond the boundaries that you have drawn.
You'll find this effective in making your drawings more interesting.
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