What does fractal mean?

Fractal is a common scientific term and refers to a special geometric shape. It can repeat itself infinitely, keeping the same morphological characteristics every time. Fractal widely exists in nature, such as leaves, clouds, mountains and so on. Mathematically, the complexity of fractal can be measured by an index called "fractal dimension", which is characterized by a non-integer dimension, that is, a fractional dimension between integers.

Fractal is not only a geometric form, but also a macroscopic physical phenomenon, which has been applied in many fields. For example, in natural science, fractals are used to study the atmosphere, biology, chemistry and other fields to explore their physical laws and complex properties; In the field of humanities and social sciences, fractal has also been used to study the problems of city, economy and cultural exchange, and to understand its structure and evolution law. In a word, fractal is a bridge between natural phenomena and mathematical theory, which has wide research value and application prospect.

For non-professionals, appreciating fractal graphics is also a wonderful experience. The beauty of fractal graphics lies in its infinite changes and fine structure, which makes people discover new details and laws constantly. We can construct fractal graphics through computer programs or hand drawing, and feel the beauty of fractal in dynamic demonstration and interactive exploration. At the same time, fractal can also be a source of inspiration, inspiring us to create more wonderful works of art, creativity in design and architecture.