Have you ever heard of the Fibonacci sequence?

It is a series of numbers that appears in many phenomena in nature, art, and science. It was discovered by the Italian mathematician Leonardo Fibonacci, who used it to solve a problem regarding the growth of a rabbit population.

The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the two preceding ones. Thus, we have:

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

This sequence has some interesting properties, such as the ratio between two consecutive numbers tends to a constant value, called the golden ratio, which is approximately 1.618. This number is considered a measure of beauty and harmony, and was used by artists like Leonardo da Vinci to create perfect works.

The Fibonacci sequence can also be represented geometrically, forming a golden rectangle, which is a rectangle whose sides have the same ratio as the golden ratio. Inside this rectangle, we can draw a spiral, called the Fibonacci spiral. This spiral appears in many forms in nature, such as in the shells of snails, in the petals of flowers, in fruits like the pineapple, and even in galaxies.

It also has applications in computer science, game theory, financial market analysis, and many other areas of knowledge. It is a way of describing patterns and regularities that we find in the world around us.

Therefore, the Fibonacci sequence is an infinite, fascinating, and mysterious sequence that reveals the beauty and complexity of mathematics and nature.