Nature by numbers explains how the Fibonacci Sequence and the golden ratio is a universal essence in the design of all lifeforms.
The animation begins by presenting a series of numbers. This is a very famous and recognized sequence since many centuries ago in the Western World thanks to Leonardo of Pisa, a thirteenth century Italian mathematician, also called Fibonacci. So it is known as Fibonacci Sequence, even although it had been described much earlier by Indian mathematicians.
Fibonacci Sequence and the golden ratio
The values of this sequence have been appearing in numerous applications, but one of the most recognized is the Fibonacci Spiral, which has always been used as an approximation to the Golden Spiral (a type of logarithmic spiral) because it is easier to represent with help of a simple drawing compass.
This is the next thing to be shown on the animation, appearing just after the first values on the succession: the process of building one of these spirals.
explanation courtesy of: http://www.etereaestudios.com