Mathematics plays an irreplaceable role in the development of human history and social life, and is an indispensable basic tool for studying and studying modern science and technology. Many people can say that mathematics is important to the development of our society, and the development of modern mathematics has affected all aspects of our lives. However, many people mention mathematics, no matter how impressive they are, they stay in the problem-solving and abstraction of mathematics, ignoring or not discovering the advantages of mathematics, such as the beauty of mathematics.
There are many forms of mathematical beauty. From the mathematical content, there are conceptual beauty, formula beauty and system beauty. Judging from mathematical methods and thinking, there are beauty of simplicity, beauty of concreteness, beauty of abstraction and beauty of infinity. In a narrow aesthetic sense, there are symmetry beauty, harmony beauty and strangeness beauty. If you still can't feel the beauty of mathematics, then give a practical example. The arrangement of sunflower seeds is a typical mathematical model. Careful observation of sunflower disk will reveal two groups of spirals. One group rotates clockwise, the other group rotates counterclockwise, and they are intertwined.
When you understand the beauty of mathematics, you will be addicted to mathematics. On the sunflower, we found that this sequence began to spiral in the center of the disk. The two curves extend in opposite directions, from the center to the petals, and each seed forms a specific angle with these two curves to form a spiral. The number of clockwise and counterclockwise seeds and spirals will vary with different sunflower varieties, but it will not exceed 34, 55, 55, 89, 89, 144. Each set of numbers is two numbers adjacent to Fibonacci sequence. The arrangement pattern of sunflower central seeds is Fibonacci series, namely 1, 2, 3, 5, 8, 13, 2 1, 34, 55, 89, 144. Each number in the sequence is the sum of the first two numbers.
Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 2 1, 34. Starting from the third term, the sum of the first two terms is called Fibonacci sequence. According to Fibonacci sequence, you can draw Fibonacci spiral, you can draw a square rectangle with Fibonacci number as the boundary, and then draw a 90-degree sector in the square. The connected arcs are Fibonacci spirals. There are many Fibonacci spiral patterns in nature, which can be said to be the most perfect classical golden ratio in nature. By analyzing various factors controlling cactus shape, leaf thickness and cactus condition, it can be found that the structural characteristics of Fibonacci series of cactus can minimize the energy consumption of cactus and adapt to the dry desert growth environment.
At the same time, with the development of photography and architectural technology, many artists, photographers and architects find that the photos or buildings taken with Fibonacci spiral are perfect. Butterfly is one of the most beautiful animals in nature. The colors and patterns of its wings are not only colorful, but also show a variety of graphics, which is very charming. Geometry is one of the most fascinating places in the kingdom of mathematics, and the most beautiful pictures can be drawn with a few simple strokes. Not to mention works of art drawn by complex geometry. When it comes to geometric aesthetics, we have to mention fractal art. Various concepts and methods of mathematics in fractal art conflict and merge with each other, and its endless changes and beauty make people explore. Even if a person does not understand the profound mathematical philosophy, he will be moved.
The word fractal means irregular and broken. Fractal geometry is a combination of fractal and traditional geometry. Irregularities generally exist in nature, and it is geometry that takes irregular geometry as the research object, so fractal geometry is also called geometry that describes nature. Many people think that mathematics is rigid and rigorous, and few people can understand and appreciate it, but fractal art gives people a stiff and serious feeling of "giving up" traditional geometry in some aspects. Dull mathematics is no longer an abstract philosophy, but a concrete feeling. At the same time, mathematics does not reveal the existence of natural laws, but can be created like art. If we study mathematics knowledge hard, use it to solve problems, and seriously look for clues about mathematics in our lives, you will find the beauty of mathematics.
Mathematics is not beautiful, but a lack of discovery. If you have a heart, you will find that the beauty of mathematics is not that simple. Just as we marvel at the gorgeous colors of peacock's beautiful tail feathers, few people find exquisite and symmetrical geometric patterns on them. The beauty of mathematics is beautiful poetry, beautiful music, beautiful pictures and so on. The beauty of mathematics requires us to look at it from different angles and feel and experience it with our hearts. John Kennedy