If you wish to understand The Nature of the Universe, we can do it! We, ourselves, are small copies of the Universe; we have got this answer! ~ J. Boivin
A fractal is a mathematical object that is self-similar, where each part resembles the whole. Most fractals are generated by a relatively simple equation where the results are fed back into the equation until it grows larger than a certain boundary. Some fractals are just a graph of an equation using complex numbers.
Who discovered fractals?
The mathematicians kept on asking themselves about some paradoxes for 100 years. Thus, Sierpinski, a Polish mathematician, created some fractals, without knowing their meaning: The Curve, The Triangle, and The Carpet. At the same time, in Sweden, Helge von Koch invented “The Snowflake Curve” or “Coastline”.
Fractals were not discovered in a single instant, but knowledge of them grew quickly in the computer age. The first real fractal was discovered by a French mathematician named Gaston Julia. In his time, there were no computers, so a serious study of fractal objects was not practical at all.
In March 1980, the French mathematician Mandelbrot saw appearing on his computer screen something that would change his life completely. Many compare his discovery to Newton's discovery of the universal laws of mechanics. This discovery introduced a completely new field in Mathematics: Fractal Geometry.
The application of fractal geometry is a subject of study in many scientific fields: medical science, meteorology, Biology, and telecommunication benefit from this new science. Mandelbrot looks back at his discovery: “The beauty of the Mandelbrotset was extraordinary, especially because it came so unexpectedly. That day in May 1980, my life was enlightened by an intellectual and aesthetic revelation.”
Many scientists grouped fractals into 2 great categories: artificial, the fractals drawn with the help of the computer, and natural fractals: trees, snowflakes, clouds, and mountains. We will present you soon some fractals’ trees drawn in Logo.