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What is fractal graphic art

1. What is fractal

In p>1973, when B.B.Mandelbrot gave a lecture at the French Academy, he first proposed the idea of fractal dimension and fractal geometry. The word Fractal was created by Mandelbrot, and its original meaning is irregular and fragmented. Fractal geometry is a geometry that takes irregular geometry as the research object. Because irregularities are common in nature, fractal geometry is also called geometry to describe nature. After the establishment of fractal geometry, it quickly attracted the attention of many disciplines, because it has important value not only in theory but also in practice.

on the whole, fractal geometry is irregular everywhere. For example, the shape of coastline and mountains and rivers is extremely irregular when viewed from a distance. On different scales, the regularity of graphics is the same. Seen from a close distance, the local shape of the above coastline and mountains and rivers is similar to that of the whole, and they are self-similar from the whole to the part. Of course, there are some fractal geometric figures, which are not completely self-similar. Some of them are used to describe general random phenomena, while others are used to describe chaotic and nonlinear systems.

second, fractal art and its present situation in China

the visualization of fractal directly leads to the emergence of fractal art. The fractal art mentioned here only refers to fractal graphics and images, excluding fractal music and other forms. Fractal art is the perfect combination of mathematical theory and art, which brings us endless imagination space. When I first saw fractal art, the metropolis had a refreshing feeling, because the exquisiteness of fractal art could not be achieved by traditional art. The self-similarity of fractal makes fractal art a super art form, which can be infinitely magnified while maintaining exquisite details. When we create fractal art works, we usually explore back and forth in the complex plane space in order to find the best observation point. It's just like photography needs careful composition.

Compared with foreign countries, domestic fractal art is very novel, and it has not been widely applied at present. On the one hand, it is because of the high technical threshold of fractal art, on the other hand, it is because of the obstacles of traditional art schools in China. One of CGPAD.COM's missions is to let people in China know about fractal art and use it.

Third, fractal art is created

Maybe you think that fractal art is all the product of mathematical formulas, then you may have misunderstood this new art form. Any art needs people's mental work, and fractal art is no exception. When creating fractal works of art, fractal artists need various accomplishments to create good works. The first is artistic accomplishment. It is impossible to design fractal art without an accurate grasp of color and a spatial understanding of form. In addition, it is mathematical accomplishment. Only with considerable mathematical accomplishment can we easily control fractal creation software to design ideal fractal art works. Nowadays, the commonly used advanced fractal art creation software reduces the requirements of mathematics, but it does not mean that mathematics has no role in fractal art creation. Creators also need to know the mathematical principles of fractal art to use the software freely, otherwise they can only create by luck. Therefore, fractal art works are not only automatically generated by mathematical formulas, but also an artistic form that combines human wisdom.

Fourth, the application of fractal art

Fractal art has many applications, among which making decorative paintings is a perfect application mode. We can use fractal art to produce decorative art works beyond human imagination, which inject new vitality into various occasions in modern society. In addition, fractal art can also be used in printing and dyeing industry, such as the design of headscarves and clothing. Fractal art is also very suitable for designing stationery such as cards, desk calendars, calendars, pen containers and pencil cases. I believe that with the efforts of CGPAD, fractal art will be used in more and more occasions.