How is pi (π) a unique number? some people understand that the measure of the curve of a circle is what makes pi. in a circle the arc is always the same, so the measure of a circle with a certain radius or diameter will always create a circle with the same area, shape and circumference. 2rπ is a circle of a certain size. if the 2 represents inches, then it is a 4 inch wide circle, and if you wanted that doubled then you would be talking about 4rπ. http://en.wikipedia.org/wiki/Pi

Pi is also unique as a ratio. http://www.math.niu.edu/~rusin/known-math/index/11-XX.html Many people in the math theory field have found out unique properties of pi as a fraction/ratio. Basically, a spiral is what pi would look like as it gets larger. Some people have compared that to things we see in real life like tree rings, and jellyfish.

Fibonacci numbers create a similar pattern but dissimilar. the Fibonacci sequence is numbers all added together in sequence, and you add the last 2 to make the next number in the sequence.

Start with 1 and 1 (1st and 2nd numbers), add those to make 2 (3rd number). add 1 and 2 to get 3 (4th number), then 2 and 3 make 5 (5th number) and so on.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 (first 11 numbers, they get larger faster)

Basically if you compare these numbers to 1, gradually these numbers spiral out exponentially, first small then much larger quickly. This pattern is found in nature as well, the best example is a conch shell. In a conch shell the spiral is not evenly spaced like in Pi, but small spirals which turn into larger spirals quickly.

These 2 pages talk about the fibonacci number sequence and it’s relation to other natural elements:

http://my-ecoach.com/online/webresourcelist.php?rlid=4277

Fibonacci sequence’s relation to Music:

http://www.davesabine.com/Music/Articles/NumberTheoryinMusicFibonacci/tabid/168/Default.aspx

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gualetar, on March 22, 2010 at 19:11 said:The subject is fully clear but why does the text lack clarity? But in general your blog is great.