Fibonacci sequence in nature video code#
Fibonacci sequence in nature video license#
Fibonacci sequence in nature video series#

Fibonacci sequence in nature video license#

Or you could explain in a more “genteel” way, saying that I have taken an artistic license 😅 Therefore I must confess that I did a kind of cheat with this animation.

The truth is that this is something I discovered when I had completely finished the screenplay for this project and I was too lazy to change.

It’s funny because if you perform this search at Google Images: “ spiral + nautilus” you will see how many images suggest that this shell is really based on the construction system described above.īut this isn’t correct, as it’s outlined below, on the “Making of” section. IMPORTANT NOTE: while watching the animation conveys the idea that the Fibonacci spiral (or the Golden Spiral, it doesn’t matter) is on the origin of the shape of a Nautilus, this isn’t absolutely right. It’s something similar to what happens when we try to approach to an ellipse by drawing an oval using circular segments: the result is not the same as a true ellipse. 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: 1×1 – 1×1 – 2×2 – 3×3 – 5×5 – 8×8, etc. Furthermore, it is worth mentioning that it was not on this side of the globe that the Fibonacci sequence was written for the first time, it had already appeared in a book on metrics written by the Indian mathematician Pingala, between 450 and 200 BC, demonstrating that the sources of beauty and wisdom go beyond the European cradle.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. However, it is a fact that the golden ratio was of fundamental importance for the cultural sector and in the construction of an aesthetic sense, especially in the West. In short, it is a debate that will remain constant, after all, scientific data are not enough to translate what is beautiful - this notion being subjective and created according to a person's own references and cultures.

According to Keith Devlin, a British mathematician and expert on the subject, all theories that cover aesthetic appeals according to this constant exist only because we humans are good at recognizing patterns and we ignore everything that contradicts them. Furthermore, many mathematicians and designers already question the fact that the golden ratio is a universal formula for aesthetic beauty. Nowadays, fortunately, the discussion about the standardization and universalization of the human body is much more advanced and does not just surrender to mathematical factors. The higher the numbers chosen, the closer the result is to the golden ratio. After all, when dividing a number from the Fibonacci sequence by its previous one, the result will be closer and closer to 1.618. This constant creates a very close relationship with the golden number (1.61803399), called the golden ratio, which mathematically represents the 'perfection of nature'. In its content, the fundamental thing is to know that whatever the number in the sequence is, it is the result of the sum of the two previous ones.

Fibonacci sequence in nature video series#

Leonardo of Pisa, better known as Fibonacci, wrote his series of numbers (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233.) to solve a hypothetical problem of breeding rabbits in your Calculation Book. But, after all, how does this sequence relate to architecture?

Fibonacci sequence in nature video code#

The famous sequence of numbers became known as the 'secret code of nature' and can be seen in the natural world in several cases. One of the most famous series of numbers in history, the Fibonacci sequence was published by Leonardo of Pisa in 1202 in the ' Liber Abaci', the 'Book of Calculus'.