Fractals

A fractal-like hand with multiple fingers resembling snowflake formations.
In everyday life, we rarely hear the mysterious word “fractal,” but we encounter them on a daily basis. Trees, mountains, smoke, plants, and even the circulatory system have fractal structures. Fractals can be applied in various areas: from image compression algorithms to the study of blood vessels of living organisms. So what is a fractal?

What Is a Fractal?

In the language of mathematics, a fractal structure is a set with the property of self-similarity. In other words, each member of the set is an exact or approximate copy of a part of itself. One of the simplest examples to help us understand fractals is a Koch snowflake. Let’s build one first for ourselves:

Koch snowflake, one of the simplest examples of fractals.
Koch snowflake
  1. Draw an equilateral triangle.
  2. On each side of the triangle, draw more equilateral triangles.
  3. On each side of the smaller triangles, draw even more triangles, and so on.
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