Fibonacci fans are created by first drawing a trendline through two points (usually the high and low in a given period), and then by dividing the vertical distance between the two points by the key Fibonacci ratios of 38.2%, 50% and 61.8%. The result of these divisions each represent a point within the vertical distance. The three 'fan' lines are then created by drawing a line from the leftmost point to each of the three representing a Fibonacci ratio.
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Leonardo of Pisa (c. 1170 ? c. 1250), also known as Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci, or, most commonly, simply Fibonacci, was an Italian mathematician, considered by some "the most talented mathematician of the Middle Ages".Howard Eves. An Introduction to the History of Mathematics. Brooks Cole, 1990: ISBN 0-03-029558-0 (6th ed.), p 261.
Fibonacci is best known to the modern world for:Leonardo Pisano - page 3: "Contributions to number theory". Encyclopædia Britannica Online, 2006. Accessed 18 September 2006.
* The spreading of the Hindu-Arabic numeral system in Europe, primarily through the publication in the early 13th century of his Book of Calculation, the Liber Abaci.
* A modern number sequence named after him known as the Fibonacci numbers, which he did not discover but used as an example in the Liber Abaci.Parmanand Singh. "Acharya Hemachandra and the (so called) Fibonacci Numbers". Math. Ed. Siwan , 20(1):28-30, 1986. ISSN 0047-6269]
