Before going to bed at night, Shen Qi received a WeChat message from Xu Rui.

Xu Rui has been in the capital for almost a week. He broke into the men's 100-meter final of the National U19 Track and Field Games. Xu Rui will participate in the men's 100-meter final at 6:30 tomorrow evening.

Shen Qi knew that this 100-meter final was very important to Xu Rui, and it was related to Xu Rui's future.

"Tomorrow at 18:30, I will be there on time to witness you winning the 100-meter championship." Shen Qi replied a message, and fell asleep.

The next day, the teaching of the math camp continued.

The lecturer is Qian Fang, who is the main lecturer on ordinary differential equations.

Except for Shen Qi, the other 25 students were all listening in the classroom.

Shen Qi was called alone to a small room of 20 square meters, he and Sun Erxiong were the only two.

The room was extremely messy, white paper was everywhere on the table and on the ground, and most of the paper had mathematical symbols written or geometric figures drawn on it. All kinds of mathematics books were scattered in every corner, and rulers and compasses were everywhere. Bang, Shen Qi kicked a ruler as soon as he entered the room.

It was clear that it was broad daylight, but the curtains in the room were opaque, and the only electrical appliance in the room was the fluorescent lamp hanging from the ceiling.

There is a small blackboard standing in the corner, and white chalk marks on the blackboard, which is a picture.

This painting is all made up of straight lines. From the perspective of the vertical blackboard, a corridor with an open door extends infinitely. The floor is interlaced with black and white, like countless chessboards.

Shen Qi saw this pattern for the first time, and never took his eyes off the blackboard.

The smell of smoke in the room was very strong, Sun Erxiong snuffed out the Zhongnanhai cigarette between his fingers, and asked Shen Qi, "How is the level of this painting?"

"Mr. Sun, I don't understand art, so I can't comment on it from the perspective of painting art, but from a geometric point of view, I really like this painting on the blackboard. From my understanding, this painting seems to be a section of the projection line Its composition is all straight lines, and the simplest lines outline the most complex existence." Shen Qi said.

"It seems that you have studied perspective." Sun Erxiong smiled kindly, "Outstanding painters must have a deep understanding of geometry, such as Leonardo da Vinci, Dürer and Alberti, but conversely, do outstanding geometers know Painting? Well, I think so. Shen Qi, can you draw?"

Shen Qi shook his head: "No, no, I can't be considered a scholar, at most I can do graffiti, draw an emoticon pack or a two-dimensional cat-ear girl."

"Okay, sit down." Sun Erxiong asked Shen Qi to sit down, and said: "Let me introduce formally, besides the instructor of the mathematics camp, I am also a professor of the Department of Mathematics of Yanda University."

"Hello, Professor Sun."

"Shen Qi, do you know why I called you over alone?"

"Talk to me about your ideals in life?"

"The ideal of life and the correct three views, of course I will talk to you." Sun Erxiong took out a magazine from a pile of waste paper, flipped it over and said: "Mathematics Innovation News sponsored by CUHK, Shen Qi, are you here?" A professional mathematics paper was published in this journal, and the title of the paper is "Some new solutions to linear non-homogeneous differential equations with constant coefficients of the second order."

"The class is messed up, just laugh at it." Shen Qi was a little embarrassed. In front of the professors of the Department of Mathematics of Yanda University, his conventional mathematics paper on ordinary differential equations was not a great achievement, even a little low.

Sun Erxiong closed the magazine and asked, "Shen Qi, I'll ask you, are you a student of Chinese University or Yan University?"

Shen Qi firmly stated: "Of course I am a student of Yanda."

"Then why do you contribute to the magazine sponsored by Zhongda University, but are so indifferent to Yanda University?" Sun Erxiong's face darkened.

Shen Qi was still wronged: "I...my level is limited! "Mathematical Research" is so high-end, I am not qualified to contribute." "Mathematical Research" is a mathematics journal sponsored by Yanda University, which is the top one in the domestic mathematics field .

"Hehe, don't be nervous if you're fine, I'm just kidding, the mathematics prowess of CUHK is still a bit behind that of Yanda." Sun Erxiong was instantly happy, "Of course, with Shen Qi's current level of mathematics, if you want to let the "Mathematics Research" "It is still difficult to accept your thesis manuscript. But don't be nervous, after all, you are only 17 years old and less than 18 years old. At such a young age, your future is limitless."

"Look, Shen Qi, other students are taking Xiaoqian's lectures and studying differential equations in depth, but you have published a paper on differential equations in professional mathematics journals, so you don't need to listen to Xiaoqian's lectures." Sun Erxiong said, " So I called you over alone, I want to have a long talk with you, talk about life, talk about ideals, talk about understanding of mathematics."

"That's great, Professor Sun, Maxima is common, but Bole doesn't." Shen Qi likes to exchange academic issues with professionals the most.

"Your writing must be full marks, hahaha." Sun Erxiong clapped his hands and laughed, seeing Shen Qi getting more and more pleasing to the eye.

After laughing, Sun Erxiong asked, "Have you had breakfast yet?"

"Yes, soy milk fritters."

"Are you full?"

"I'm full. I ate six fried dough sticks and drank three bowls of soy milk. The Yonghe Soy Milk's discounted breakfast at the school gate is very affordable."

"Let's do the exercises when you're full. Dissipate food and invigorate the stomach, which is conducive to the vigorous growth of puberty teenagers."

"..." Shen Qixin said, why do all the professors in the world have the same routine?

Sun Erxiong went to the small blackboard, picked up the blackboard eraser and erased the chalk pattern on the blackboard, and then picked up a piece of chalk to make a new picture.

Sun Erxiong's geometric drawing skills are very solid. He does not need to use a compass to draw a standard circle, at least it looks standard to the naked eye.

Immediately afterwards, Sun Erxiong drew a few straight lines without using a ruler, so he just pulled out a straight straight line without using a ruler.

Six straight lines form a hexagon, inscribed in a circle.

The six points inscribed between the hexagon and the circle are marked as A, B, C, D, E, and F by Sun Erxiong.

"Do you understand?" Sun Erxiong asked Shen Qi.

Shen Qi nodded and shook his head again: "In the sense of Euclidean geometry, I can understand it, but in the field of non-Euclidean geometry, I can't understand it, because the conditions given by Professor Sun are not sufficient, and I don't know what Professor Sun wants to do. What do you want me to do?"

"Hehe, it's fine if you don't understand." Sun Erxiong smiled habitually, and then continued to draw.

In the blank space on the right of the circle and its inscribed hexagon, Sun Erxiong newly created three straight lines, and the three lines intersect at a point, which was marked as L by Sun Erxiong.

"Based on the pattern on the left, you can complete the pattern on the right for me. I don't care whether Shen Qi uses Euclidean geometry or non-Euclidean geometry. What I want is a correct answer. Can it be done, Shen Qi ?” Sun Erxiong asked with a smile.

Shen Qi's eyebrows were twisted into Sichuan characters: "Give me some time, Professor Sun, I will do my best."

"It's okay, don't be nervous, time and this room belong to you, you can use any drawing tools and references in this room. Okay, I have to buy pork, by the way, Shen Qi, you like celery stuffing The dumplings or Chinese cabbage?" Sun Erxiong stuffed the wallet on the table into his pocket, ready to withdraw.

"Whatever." Shen Qi stared fixedly at the blackboard, and absent-mindedly answered the two words.

Sun Erxiong was not happy: "You can do the questions casually, but you must not eat dumplings casually!"

Shen Qi: "Is the dumpling stuffed with leeks and shrimps okay?"

"It must be possible! Wait, I'll go to the vegetable market to buy ingredients. At noon, we will eat dumplings stuffed with leeks and shrimps." Sun Erxiong was happy, so he left the house to buy vegetables.

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