The Von Koch Snowflake
|Automatic translation||Updated June 01, 2013|
If we replace the infinite, the middle third of each side of a triangle with two equal length segments, we obtain a fractal figure. Whatever you are doing zoom image we observe the same details. The characteristic of a fractal is that the perimeter tends to infinity, adds detail since increasingly smaller as and when successive iterations. Yet this curve does not overlap any time limits of a circle which circumscribes the initial triangle. Fractal geometry has allowed us to understand that nature obeys a simple mathematical law. Since one can understand this concept, translating what we see in nature in mathematical language.
Image: variant of classical fractal curve of Von Koch published in 1904, usually called « snowflake Koch ».
Fractal and fractal object are terms from the Latin adjective "fractus" which means "irregular or broken". The word was created in 1975 by Benoit Mandelbrot in the first edition of his book.
Mandelbrot has created a new field for describing the structure of objects and natural phenomena or man-made.
Image: The Mandelbrot set.
Fractal Geometry of Nature
Image: The spider structure of galaxy clusters is a representation of a fractal object.
Image: The structure of our cities is a representation of a fractal model.
Image: The Romanesco broccoli is a beautiful natural representation of a fractal model.