The formal beauty in our nature is as follows:
(1) Accumulate beauty. Such as mountains, flowers and shrubs.
(2) the beauty of rays. Such as the sun, the moon and the stars, as proud as the peacock's tail feathers.
(3) The beauty of maneuver. Such as volute and spiral shell.
(4) the beauty of symmetry. Such as snowflakes and crystals.
(5) the beauty of arrangement. Such as fish scales and bird hair.
(6) the beauty of the grid. Such as tortoise shells and veins.
(7) the beauty of the pattern. Like tiger skin and leopard skin.
(8) The beauty of parallel lines. Like weeping willows and drizzling rain.
The formal beauty of our geometry is as follows:
(1) circle. Human perception is biased towards a simple circle. The reason lies in its absolute perfection, harmony and stability, which makes people feel comfortable and psychologically satisfied.
(2) parabola. Archimedes, in his masterpiece Quadrature of Parabola, used mechanics and exhaustive method to calculate the area of bow, which was a pioneer of calculus. He also skillfully used parabolas to help make regular heptagons.
(3) Ellipse and hyperbola. These two kinds of conic curves were later applied in celestial mechanics. There was an oval concert hall in ancient Greece, and the band was arranged in a focal point to obtain good sound reflection effect. The proportion is beautiful. That is what we often call the "golden section". This is familiar to everyone. Beautiful recipe. The jungle of mathematical formulas and the ocean of formulas. Formulas are the crystallization of wisdom and concise language, so they give people the impression of wisdom, conciseness and broadness. Digital beauty. such as
99 =980 1
999 =998O0 1
9999 =9998000 1
99999 =99998000O 1
Third, the application and beauty of mathematics
The application of mathematics in other disciplines is not only a mutual interest, but also a mutual need.
L, the application of mathematics in music.
For example, in the Spring and Autumn Period in China, the relationship between chord length and pitch was determined by the "three-point gain and loss method", that is, adding one point (that is, multiplying by 2/3) or one point (that is, multiplying by 4/3) to the pitch string to determine another unified chord length, and so on until it was "high octave" or "low octave". This method is approximate.
2. The application of mathematics in painting.
Da? There are many examples of perspective in his works. He first talked about the proportion of perspective, which laid the foundation for panoramic perspective, explained the causes of stereoscopic vision, and put forward the theory of shadow segmentation, the characteristics of reflection and the color change of objects.
3. The application of mathematics in sculpture.
Based on the Apollo statue in Bellevue, which is regarded as a model of male beauty, people find that its waist, knees, Adam's apple, face and arms are all "golden section" points. China's ancient sculptures have a unique style, and some gadgets shine with the wisdom of mathematics. For example, it is carved from six small pieces of wood and can be spliced into a space cross, which is called "China educational toy" by foreigners. Because of its unique conception and shape, it looks beautiful.
4. The application of mathematics in architecture.
Around 2700 BC, the pyramids of Giza of the fourth dynasty Pharaoh Khufu in ancient Egypt were made up of 2.6 million huge stones weighing l2 tons, with only a few gaps between them. It is150m high and weighs about 31100,000 tons. This is an incredible achievement. The mathematical beauty of architecture is expressed by proportion. No need to measure, because of its harmony, it immediately arouses the beauty in people's hearts.
5. The application of mathematics in poetry.
For example, 300 lychees a day are willing to grow up to be Lingnan people. (Su Shi)
I want to know why my Jinse has fifty strings, and each string has a youthful interval. (Li Shangyin)
Wen Yiduo, a famous poet in China, once advocated the new poetic meter. Some people describe his various attempts as a kind of architectural beauty, but in fact they are a kind of mathematical beauty. Changes in sentence patterns, words and lines. They are all quantifiable. Moreover, it is actually symmetry, balance, periodicity and other elements, and it also implies mathematical concepts. This exploration should be said to be beneficial.
6. The application of mathematics in abstract art.
For example, fractal curves have aroused great interest from meteorologists, seismologists and cosmologists. In fact, it has applications in geology, geography, electrotechnics, linguistics, economics, aerodynamics and even mathematics itself, and the music displayed by fractal curves is also very beautiful.
7. The application of mathematics in real life.
For example, in China, the amount of personal labor income is directly proportional to the contribution made by individuals. There is a proverb in China: "You get what you pay for". It seems that this is only an economic relationship, but it implies a mathematical concept. If there is no mathematical quantity, I don't think everyone will haggle over the gain and loss of quantity. Countable is a number, l is l, and 2 is 2.
8. Mathematics makes computers "popular all over the world"
"Binary" and "decimal" in computers are masterpieces of artificial intelligence. People arrange and combine the fattest number "0" and the thinnest number "L" to create generations of "computer heroes". People's lives have become convenient and fast. There is no doubt that the digital age is the most advanced "era" at present.
Fourthly, mathematical ideas helped me design the periodic table of circular elements.
I put the chemical elements into the mathematical coordinate system, and after many permutations, I finally got a "periodic table of elements". That is, the first and second quadrants in the coordinate are main family elements; The third and fourth quadrants are sub-group elements and VIII group elements, and the horizontal axis (X axis) separates the main group elements from the transition group elements, so that the obtained periodic table is more compact, intuitive, beautiful and convenient to use than the existing periodic table. Its regularity is international. (See Appendix 1 and Appendix 2 for details.) I have just combined mathematical thought with chemistry and made an updated discovery. It seems that every feature of mathematics is admirable. We applaud its colorful appearance and are willing to make more beautiful discoveries.
In a word, in my eyes, mathematics is more valuable than any other subject. Its unique charm attracts me and makes me fall in love with it. In fact, in mathematics, I have no right to speak at all, but I have tasted a little "sweetness" in mathematical thought. Here, I just have a feeling that learning mathematics well can not only improve one's emotional intelligence, but also one's feelings, attitudes and values towards science. As can be seen from the past development history, it is also in mathematics that China was the first to get absolutely first-class research results in the world. China and Chen Jingrun are proof of this. I also cited a large number of examples in the article, which can fully illustrate that mathematics is really fascinating. We should not only have a strong interest in mathematics, but also have a strong belief in its power. Let us vigorously carry forward the spirit of keeping pace with the times, pioneering and innovating, apply personal wisdom to human society, and contribute to the development of human society.