The office of the Princeton Institute of Advanced Studies.

Lu Zhou, sitting at the desk, stared at the three-dimensional graphics on the computer screen meticulously. The right-hand ballpoint pen was drafted on paper from time to time, and the left hand resting on the keyboard kept pressing the zoom button.

The data collected by the scanner has been saved by him in Xiao Ai's server, and what he needs to use is stored in his notebook.

That is, regarding the carbon nanospheres under the modified pdms material.

The molecular structure of the carbon nanosphere is readily available, but everything else is unknown to Lu Zhou.

Whether it is physical properties such as mechanics and electricity, or the method of preparing this carbon nanosphere in the laboratory, these things need to be explored by himself.

In terms of order, by establishing a mathematical model, the physical properties of the material, such as mechanics and electricity, are analyzed, and then the materials that may be used in the carbon nanospheres are inversely synthesized, and a correct method is explored through a large number of experiments.

However, on how to prepare, Lu Zhou is not a clue.

This is like two large prime numbers. Multiplication is very simple. As long as you are bored, you can do a calculator in the supermarket. But in turn, the product of the two large prime numbers is broken down into two prime factors. If the number of digits exceeds one hundred, even the super-calculation may not be possible.

After stopping the pen in his hand, Lu Zhou took a deep breath.

At first glance, this carbon nanosphere seems to be similar to c60, c50, c240 caged carbon clusters with a hollow spherical structure, but if you look closely, this thing does have a fundamental difference with these fullerene materials. .

First of all, it is not a "rule of rules."

Some people may say that fullerenes are irregular, and a group of six-membered rings also have pentagon and heptagonal carbon atom rings.

However, this carbon nanosphere, its difference is reflected in the molecular point group symmetry, because there is no translational symmetry, it can not even be represented by the traditional Bravais lattice.

This ball is like a two- or more-carbon nanomaterial that has been reassembled to recreate new chemical bonds between different materials.

The image of an image is that the two wool **** are taken apart and then re-twisted together.

If this is the case, the possibilities he faces will be more uncertain than the chaotic systems in quantum mechanics. Perhaps only Schrödinger's cat can solve this problem.

This is just a geometric problem.

If he returns to chemistry, he will face more problems.

Sighing, Lu Zhou patted his forehead and calmed himself down.

The problem still has to be solved one by one.

Start with the math he is best at.

Although geometry is not an area he is good at, he still has some knowledge of this field.

Abstractly, this is a topological problem, and he needs to disassemble this "cage structure sphere" that does not have translational symmetry.

Standing up, Lu Zhou walked to the whiteboard in the office and thought about it for a while, then painted a composite structure cage ball composed of points and lines, and marked the known parameters next to each point. Create a simple mathematical model.

[Set a∈x;f,g∈c(x,y), if there is a homotopy of f to g, such that when a∈a,h(a,t)=f(a)......]

[...]

The more the formula is written.

Finally stopped the pen, Lu Zhou stepped back two steps, looked at the formula filled with half of the whiteboard, and fell into meditation.

There are many situations that he can consider, but he always feels that every possibility is a little worse.

Just then, footsteps came from outside the office.

Pushing open the door and holding a stack of a4 paper, Vera walked in.

Seeing that Lu Zhou was staring at the whiteboard, she hesitated and finally decided not to disturb his thoughts. She walked gently to the desk, placed the documents on his desk, and went to the coffee next to him. Machine, help him make a cup of coffee.

When I smelled the smell of coffee, Lu Zhou realized that there was still someone in the office.

Looking back at Vera, he asked casually.

"Is there a problem?"

"There is a teaching office that will let me give you this new interview list." Vera pointed to the list on the table and whispered, "I am afraid that I will disturb you, and I will not knock."

"Nothing, my thoughts are not so easy to interrupt, as long as you don't suddenly shoot my shoulder from behind." Lu Zhou said in a joking tone.

After learning that she did not disturb his thinking, Vera's face showed a comfortable smile.

Curiously looked at the equations and graphics on the whiteboard, she continued to ask.

"what is this?"

"Nothing, idle and boring."

Back to the desk in front of the boat, smoothly turned off the software opened in the computer, pick up the list roughly turned over.

The quality of this batch of freshmen is not bad, but the paper grades do not have reference value, he will take a time to select a few interviews.

The only thing that makes Lu Zhou more unexpected is that it is not only related to undergraduate mathematics, but also non-mathematics students.

For example, a certain younger brother of Jinda, the undergraduate major of undergraduate science, reported the Fourier inversion transformation problem in the direction of his functional analysis.

Although the master's inter-professional application is not a rare thing, it is generally a jump from mathematics to chemistry, and it is rare to jump from chemistry to mathematics.

Just as Lu Zhou flipped through these resumes, she stared at the whiteboard and looked at Vera for a long time, suddenly frowned slightly.

"This three-dimensional structure is very strange."

The eyebrows picked up slightly, and Lu’s gaze removed from the resume and looked at her: “Talk about your point of view.”

Vera: "Can I use a pen?"

Lu Zhou said with pleasure: "Of course."

After getting permission, Vera picked up the marker and walked over to the whiteboard.

After thinking for a moment, she drew a few strokes on the cage sphere formed by this dotted line, marking the pentagon and the heptagon, and then drawing an irregular curve to divide the figure.

Then, a magical scene happened.

After three-dimensional lifting and disassembly and recombination changes, the cage structure sphere without translational symmetry is disassembled into a circular tubular structure and a translationally symmetric sphere!

Looking at the geometric figures on the whiteboard, Lu Zhou squatted slightly, his eyes were getting brighter and brighter.

He considered a myriad of possibilities, considering the combination of spheres and faces, and considering the combination of multiple spheres of different sizes, but it was ignored.

However, the change to this step seems to have come to an abrupt end.

Vera frowned, seemingly confused about how to transform this.

However, for Lu Zhou, this idea is enough.

"You are a genius..."

Vera squatted slightly, looked at Lu Zhou, and looked at the equations on the whiteboard and the topologically transformed graphs, and smiled a little.

"If you can help, just fine..."

In fact, she just thought that the graphic was very interesting. Although it looked like a regular sphere, the geometric asymmetry made it full of violating feelings.

Because of this sense of violation, Vera tried to make a topological transformation of the graph, and finally found that the graph turned out to be a combination of a translationally symmetric sphere and a cylinder.

In elementary geometry, this is an unimaginable proposition.

But in the slogan, this is a very interesting phenomenon.

Although she did not complete this transformation.

But even so, it is enough!

"It’s just a help! It’s a big help.” The idea was like a spring, and Lu Zhou did not praise the words. He took out his mobile phone and took a photo of the whiteboard, then put away the laptop. "I will retreat." In a few days, the office is on duty for you these days."

When I got to the door of the office, Lu Zhou suddenly thought of something. I looked back at the little girl and then groaned. "Right, if someone comes to me, you can tell him directly about my address and let him go there to find me."