First, a few words about Fibonacci himself…
Leonardo Pisano (nickname Fibonacci) was a mathematician, born in 1170, in Pisa (now Italy). His father was Guilielmo, of the Bonacci family. His father was a diplomat, as a result Fibonacci was educated in North Africa, where he learned "accounting" and "mathematics".
Fibonacci also contributed to the science of numbers, and introduced the "Fibonacci sequence"
The Fibonacci sequence is the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, introduced in his work "Liber abaci" in a problem involving the growth of a population of rabbits.
Aside from this sequence of number where every next number is the sum of the proceeding two, 0, 1 (0+1), 2 (1+1), 3 (2+1), 5 (3+2), 8 (5+3), 13 (8+5), etc.
There are the "Fibonacci ratios".. By comparing the relationship between each number, and each alternate number, and even each number to the one four places to the right, we arrive at some fairly consistent ratios.. The important ones are .236, 50, .382, .618, .764, 1.382, 1.618, 2.618, 4.236, and for good measure we include 1.00 ..
It turns out that the ratios are mathematical principles prevalent in nature around us, and is also in man-made objects. There are many interesting, entertaining, and poetic observations about Fibonacci numbers and ratios in the universe (see the reference section below). Fibonacci numbers appear in ancient buildings, in plants, planets, molecules, the dimensions of human bodies, and of course snails… But of what use is all that to the lowly trader?
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