Although objects with an uneven and even chaotic structure have always existed in nature, scientists for a long time could not describe their structure in mathematical language. The concept of fractals appeared several decades ago.  It was then that it became clear that clouds, trees, lightning, stalactites and even a peacock’s tail could be structured using fractal geometry.  Moreover, we ourselves are able to create fractals!  As a result of the sequential squaring of a number, an image of amazing beauty and complexity appears, which contains a new world...Maria Isabel Binimelis Bassa.  A new look at the world.  Fractal geometry.