Posts Tagged ‘fractal’


Saturday, July 17th, 2021

To begin to answer this question we have to traced to 1497 when an Italian monk, Lucca Pacioli, announced it was “divine proportion,” the title of the book written by him explaining the secrets of the “golden section” mathematical ratio that is based on a rule of thumb for determining the appropriate balance between the parts of a whole. This harmonic division and has been used since antiquity, and almost always in architecture, for the Egyptians, Greeks and Romans, and later in paintings by the great masters of the Renaissance, to establish rules that would allow to achieve a perfect composition. Here we realize the importance of “number” (the quantifiable, which can be measured), which has already drawn the “Pythagorean school” when the reality matched the number, for her the numbers rule the world and the universe is rhythm that is, that the qualitative is present in everything. From there it is understandable that, to mimic the pattern above, the man trying to link mathematics and art in pursuit of perfection: cathedrals, sculptures, paintings, all done on the range, the area of applied mathematics: geometry. “Geometry”, this is the word, the point of departure for “the fractal, the fractal as part of a geometric model where the” golden section “is treated as a non-germinated seeds. And now, in this respect, even for like botany, I refer to the concept of “rhizome” in which Gilles Deleuze and Felix Guattari are based, as we explain his book “A Thousand Plateaus,” to organize a system of multiplicity that is expands through different structures that are similar to the rhizomes of the plants, and so explain this metaphor, the new social behaviors in late capitalism. This concept of the rhizome is quite similar, in its organizational structure, which follows the fractal order, except that the second term in the component parts are more limited and are generated from themselves: they are “recursive.” The fractal geometry would be like a seed that, germinate, through the intervention of a process of mathematical algorithms, to expand in a way similar to the rhizome of a plant, “a vanishing point to the inverse generated by the repetition of the same elements.” This “fractal expansion” we can find, concentrically, the origin and evolution of the universe, according to the theories of the “Big Bang” (from Georgy Antonovich Gamov in 1948) and “Inflation” (by Alan H. .