fractals

Every day we see patterns and understand that someone lot of trouble to create them. And what about the patterns found in nature? What are they hiding?
For example, take a snowflake. These crystals form when water vapor in the cloud is transformed into ice. With the increase in the size of the crystals appear delicate openwork patterns. If we consider a single snowflake, we can see that its rays branch again and again, forming the rays of smaller dimensions. This property is self-similarity of mathematics called fractal. Fractal - a kind of figure in which one and the same motif in the Carbonless gradually decreasing scale.
The concept of fractal geometry and fractal, born at the end of the 70's, from the mid 80's overhaul settled and become current programmers and mathematicians. The word fractal is of Latin origin and is translated from fractus as consisting of fragments. It was proposed in 1975 by Benoit Mandelbrot to describe irregular structures, but still self-similar, which he carried away.
Fractals - great education, unpredictable movements generated by the chaos of the world. They are observed in such tiny objects, like the cell membrane, and such extensive, like the solar system.
If we consider a sea shell, you'll find that it is a fractal structure in the form of self-similar compartments, which increases during the life of the mollusk.
Cabbage, cauliflower, broccoli, pineapple, sunflower seeds are also fractals, as Use the same principle of self-similarity and nesting.
The famous toy "Matryoshka" - a real model fractal. Fractal principle obvious, when toy figurines of wood arranged in a row, and not nested within each other out.
Fractals can be expressed in furniture design. For example fractal nightstand from Japanese designer Takeshi Miyakawa uses maximum storage space and looks very stylish.
Fractals are increasing and significant application in science. The main reason for this can be called what they describe the world around us, sometimes better than a traditional physics or mathematics. Here are just some of the areas of application: computer graphics, physics, radio engineering, economics, and biology. Besides all the practical, fractals just give aesthetic pleasure