Search This Blog

Sunday 1 March 2015

How are Fibonacci numbers expressed in nature

Video explanation

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and on to infinity. Each number is the sum of the previous two. This series of numbers is known as the Fibonacci numbers or the Fibonacci sequence. The ratio between the numbers (1.618034) is frequently called the golden ratio or golden number.
The seed pattern is formed by seeds being ‘fired’ from the centre of the flower head outwards one at a time. The angle that each seed heads off from the centre when measured from the last one is the golden angle
The pattern of seeds in a sunflower is controlled by the golden ratio or golden angle. This is when you divide up 360 degrees into two angles of the golden ratio. The smaller angle is the golden angle which is irrational and measures 137.508 degrees.
It seems as though the seed pattern is extremely sensitive to the angle that the seeds are released. Try it yourself here.
Patterns A and B on the left are what the seed spirals would look like if Nature had used a different irrational number. Pattern C shows the golden ratio at work.

No comments:

Post a Comment