How to make fractal illustrations? What software can be used to make graphics in fractal geometry?

In what fields is fractal art mainly used? What are the development trends and directions of fractal art in China? How is fractal animation made? The English expression of fractal art: fractalart, irregular geometric element Fractal, was proposed by the mathematician Mandelbrot (1924-2010) of IBM Research Laboratory. Geometric figures whose dimensions are not integers, but which repeat themselves on increasingly finer scales, are the science of irregularities. "Fractal art" is different from ordinary "computer painting". The concept of ordinary "computer painting" is to use computers as tools to create art. The creator must have deep art skills, and the creation of the work almost completely depends on the author's personal experience. Will. "Fractal art" uses the principles of fractal geometry and the powerful computing power of computers to iteratively calculate mathematical formulas, and then combines the author's aesthetic and artistic shaping to turn abstract and mysterious mathematical formulas into beautiful pictures. Stunning art painting. Of course, it will be helpful if you have good math and computer programming skills to draw fractal patterns, but these are not necessary. If you have certain art skills and a basic understanding of color and shape, it is not difficult to create fractal graphics. With the development of technology, many excellent fractal art creation software have been born, which simplifies the creation process of fractal art, allowing people without good mathematical skills to use the software to create beautiful fractal art works. Edit this paragraph. Trends follow research The extension of fractal art is not limited to the images produced by plural iterations. The extension of modern fractal art 4[8] is equivalent to super vector. It is an extension of traditional vector painting. When the picture is enlarged, more details can be displayed without losing details. Edit this paragraph Application - Textile industry, wallpaper industry, packaging and other similar industries. In the process of making fractal graphics, I found many structures and found that they can form regular tiling graphics. This kind of graphics is very suitable for use in the fields just mentioned. On the other hand, the current tile graphics are all the same and have no new ideas. The most valuable thing about fractal diagrams is its structure and laws. If used in these fields, what kind of value will it produce? 2. Visual Engineering Field The field of visual engineering has become more and more popular in recent years, and the effect of the 2013 Spring Festival Gala was great. There is a flower-cutting program, which has a fractal flavor. In fact, many foreign blockbusters have used fractals. As early as in Star Wars, when Darth Vader and Skywalker fought the Aurora Sword, the magma spewing around them was generated using fractals. There are many fractal software used for artistic creation, and they are relatively mature and can be used for animation production. This type of art creation software can create more gorgeous special effects than those in movies. Many fractal art works are very decorative. If you choose the appropriate fractal software to do visual effects according to the required environment and scene, the effect can be very good. In fact, the kaleidoscope effect in the Spring Festival Gala Cut Flowers has been done very well and is very beautiful. However, it is just a small trick in the fractal software. There are many shocking effects that people have never seen in the fractal software. It just needs to be Just a skilled fractal artist. 3. Design Layout The beautiful and rich graphics in fractal art can be applied to various layouts such as stage design, garden design, architectural design, etc. (Sydney Opera House). For example, we often use variations such as Julian and Poincaré in apophysis. We can embed any structure into these two structures to create a very gorgeous and stunning effect. For example, in garden design, if you build some structures according to certain forms of julian, and arrange the original rigid layout according to the structure of fractal graphics, it will be very good like flower beds. For example, in stage art, those lighting effects, dance shapes, stage shapes, etc. Fractal art is not only beautiful to look at, it also contains profound philosophical beauty. If some real-life applications adopt fractal solutions, it may be a very creative, deep and state-of-the-art design. 4. As design material, such as in the advertising industry, it can be used as material to create novel advertising images, various product packaging designs, website design, etc. The most classic example of the five-piece design is the priceless julia set diamond necklace from abroad. The jewelry designer connected diamonds and sapphires according to the fractal structure of the julia set, creating an unprecedented and beautiful effect. This is an effective method to enhance competitiveness. When many businesses are producing products with the same functions and similar appearances, if one company uses fractal elements, the results may be very different. 6. The role of interior decoration With the improvement of living standards, people are paying more and more attention to the taste of life. The most obvious advantage of fractal art is its excellent decorative properties. Choosing more personalized and beautiful fractal elements can have a good decorative effect. The easiest way is to use fractal art decorative paintings, wall stickers, art wallpapers, etc. Seven printed books, illustrations, wall calendars, desk calendars, posters, postcards, stamps, etc., and even if possible, which version of the RMB will use fractal patterns in the future. Because fractal patterns can be incredibly complex and detailed, such a currency would likely be extremely difficult to counterfeit.

Generate a complex fractal pattern. If you delete the parameter code during design, you can prevent piracy once and for all. It is almost impossible for even the designer himself to make it exactly the same. Because there is no code and parameters, it is impossible to reproduce the pattern. [9] The “fractal craze” that started in the early 1980s continues for a long time. As a new concept and method, fractal is being explored in many fields. American physics master John Wheeler once said: From now on, anyone who is not familiar with fractals cannot be called a scientifically educated person. This shows the importance of fractals. Professor Zhou Haizhong, a famous Chinese scholar, believes that fractal geometry not only shows the beauty of mathematics, but also reveals the essence of the world, and also changes the way people understand the mysteries of nature; it can be said that fractal geometry is the geometry that truly describes nature, and the study of it It has also greatly expanded the realm of human cognition. Fractal geometry is a very popular and active new theory and new discipline in the world today. Its emergence has made people re-examine the world: the world is non-linear and fractals are everywhere. Fractal geometry not only allows people to realize the integration of science and art, the unity of mathematics and artistic aesthetics, but also has its profound scientific methodology significance. The above answers are for your reference! Hope this helps! What software can be used to create graphics in fractal geometry in Hangzhou Library?

If you just want to see some beautiful curves, graphics, etc., use Microsoft_office_isio_nap (capture) and Group (group) functions to draw fractal diagrams Keep copying, grouping, copying, and grouping the basic elements... and you can create the graphics you want.

If you want to play more deeply, it is recommended that you use _欧诇_pophysis_咚掳偹 2.09, which can make colorful fractal diagrams. sourceforge_太Xingluewu

The other one is _ltra_ractal_彩呛濿淮淼model lv常鸸涯婻踵槓道樯埽

If you want to play deeper , just use Matlab, you can write mathematical programs to draw. Applications of fractal graphics

Book illustrations, wall calendars, desk calendars, posters, postcards, stamps, etc., and even if possible, which version of the RMB will use fractal patterns in the future. Because fractal patterns can be incredibly complex and sophisticated, such a currency would likely be extremely difficult to counterfeit. Generate a complex fractal pattern. If you delete the parameter code during design, you can prevent piracy once and for all. It is almost impossible for even the designer himself to make it exactly the same. Because there is no code and parameters, it is impossible to reproduce the pattern.