I have introduced a small optical correction in the animation in order to get the resulting curve more like a true Golden Spiral(more harmonious and balanced), as explained on this plate. Then we draw a quarter circle arc (90°) within each little square and we can easily see how it builds step by step the Fibonacci Spiral, looking at right graphic. And they are arranged in the way how we see in the diagram at left. We will create first a few squares that correspond to each value on the sequence: 1x1 - 1x1 - 2x2 - 3x3 - 5x5 - 8x8, etc. 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. 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 an infinite sequence of natural numbers where the first value is 0, the next is 1 and, from there, each amount is obtained by adding the previous two. So it is known as Fibonacci Sequence, even although it had been described much earlier by Indian mathematicians. 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. The animation begins by presenting a series of numbers.
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