## Thursday, January 10, 2013

### Fibonacci numbers in nature.

In yesterday's post, I discussed the Fibonacci sequence, the infinite number sequence that starts

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

A sequence that generates the next number in the line by adding together the two numbers just before it. Leonardo of Pisa introduced the numbers in a completely whimsical problem allegedly based on the reproduction cycles of rabbits.

It sometimes happens in math that a tool needed to solve a problem will already exist, built to work on another earlier problem that was often created just for the sake of the beauty of it. So it is with the Fibonacci sequence.

We are often shown cell growth as a constant splitting process, the number of cells doubling each time a new splitting occurs. This is not always the case, as some cells split unequally, one of the new cells getting all the materials needed to replicate at the next splitting time while the second cell does not have what it takes and instead has to use that time period to grow into a ready cell.  Here is an example.