Show you a few more pictures and feel it;
Proportional beauty
One of the beauties of mathematics is proportion. There are many beautiful proportions in mathematics. It is well known that the golden section.
The famous painter Leonardo da Vinci used this ratio extensively in his paintings. For example, the Mona Lisa
Compared with the height of the whole head, the height from the eyes to the chin is just the golden ratio. If the distance from the eyes to the chin is taken as the whole distance, the mouth is just at the golden section.
And Pythagorean theorem. The famous astronomer johannes kepler (1571–1630) once thought that there are two beauties in geometry, one is the golden section, and the other is the Pythagorean theorem that everyone knows.
Beauty of simplicity
Another beauty of mathematics is that it is very concise. They all look simple, but they all describe very profound mathematical principles.
For example, Euler's formula is as simple as Euler's pure heart. It conveys almost all the mathematical elements in the world in the most concise way. Irrational number e, which is the base of natural logarithm, is hidden in the speed of spacecraft and the spiral of snail. The irrational number π is hidden in the world's most perfect plane symmetric figure-circle. And+,-,1, 0 ...
Beauty of magic
Another beauty of mathematics is magic. The first is Pythagorean theorem. As shown in the figure below, there are infinitely many Pythagorean pairs of positive integers.
But Fermat's last theorem tells us that there is no positive integer solution if it is greater than 2. Fermat is a very magical person. He is not a professional mathematician; He is a lawyer. He became a member of parliament at the age of 30 and a lifelong member of the local Council at the age of 47. He has been studying mathematics as an amateur, but he put forward the great Fermat's last theorem.
In addition, there is magic mathematics in nature. For example,
Sinusoidal curve of snake. When a snake moves forward, there are four ways, two of which are winding and sideways. When moving in these two ways, the trajectory is similar to a sine curve.
The "gossip net" woven by spiders is very delicate and symmetrical, which contains rich geometric concepts, such as radius, chord, parallel line segment, triangle, congruent corresponding angle, logarithmic spiral, catenary and transcendental line. Spiders use spokes to divide the web into several parts, and the circumferential angles of adjacent spokes are roughly equal, while the spiral line from the outer ring to the center of the spider web is a logarithmic spiral.
There are self-similar Roman broccoli, snowflakes, lightning and so on.
Beauty of cleanliness
Another beauty of mathematics is its simplicity. Mathematical proof must be solid, clean and without any flaws.
A famous British philosopher and thinker described mathematical proofs as beautiful as diamonds. The so-called beauty means firmness, beauty and cleanliness.
(transferred from headline number-mathematical latitude and longitude network)