Wednesday, 3 April 2013

About the Fibonacci number


In today’s class, we learned how to code the fibonacci number in Dr. Racket. It reminds me some of my interesting experience with fibonacci number.

A famous feature of fibonacci number is that when the Fibonacci number goes on infinite, the ratio of two adjacent digital is close to 1.618, which is known as the  Golden Ratio. However, it is not how I know the Golden Ratio. In fact, through my painting career, I realize that 1.618 is the most important ratio for composition of pictures. The intriguing point is that even if I don’t intentionally pay attention to composition, the main part of the picture will eventually lie somewhere around the golden ratio, otherwise it just doesn’t look right.

As a result, the golden ratio appears more than frequently in famous works of art. I couldn't stop wondering, why people appreciate the beauty of things that is in golden ratio

What’s more, the golden ratio is also applied to finance, biology, chemistry, phytology, architectonics and many other fields. What’s their relationship to mathematics?

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