Chapter 42: Escher Space
"Escher, a Dutch master of scientific thinking printmaking, his works are mostly characterized by plane mosaics, impossible structures, paradoxes, loops, etc., from which we can see the image expression of mathematical concepts such as fractals, symmetry, hyperbolic geometry, polyhedra, topology, etc., which are both artistic and scientific. www.biquge.info One of the famous works, "Waterfall", must have been seen by everyone," James told everyone about the master.
"You said we might have run into this impossible space! Escher Space! "When I was in middle school, I was obsessed with these paintings.
"How could it be, that's just illusion art." Wang Xiaoming doesn't believe this.
"But it seems like we've really met." How long has Centaur been in the five-dimensional base for the first time, I feel the strangeness of this base.
"Yes, we're in a circular space!" James gradually calmed down.
"How can it exist in reality!" Kevin found it incredible.
"Yes, because it doesn't exist, the strangeness here shouldn't be explained by normal thinking, let's analyze it from the beginning." James gradually found an idea.
The mood of the crowd gradually calmed down.
"First of all, how did those Martian base guys get in?" James began his analysis with the Martian migrant advance team.
"I don't know." The centaurs don't know either.
"In other words, this Third Lab was not like this before, maybe it was really a place that was stuck with our plane. Or how to get out. "James is getting deeper.
"Wait, if this five-dimensional base is not connected to real time and space, then how did the first batch of people, that is, my grandfather, get in?" Yi San suddenly thought.
As soon as Yi San's words fell, everyone looked at the centaurs, and it seemed that only he could answer this question here.
"I don't know, the professor said that according to the parchment scroll, you entered through a glimpse of the wall, but the wall was not in this base, and no one knew where it was except the professor. The other side of the wall is connected to the room where the Juloba stone plate is kept. There's no way they could have come in from there. "The centaurs were sure they didn't come in that way through the professor.
"So, this laboratory is glued to the real space." James said.
"Wait, if my grandfather is going to let people find this Juloba stone plate, then it's impossible not to tell others about the wall? That is, my grandfather expected this to happen today! Yi San's thinking gradually unfolded.
"Is it the reason for the Juloba Stone Plate?" Kyle thought that it might be the Juloba Stone Disk that was influencing everything here.
"It should be." James frowned, "Since the professor has expected everything to happen today, there must be a way out here." Let's be patient. ”
"Maybe the professor didn't want to let the people who came in here go out in the first place." Wang Xiaoming thought to the bad side.
"It's not possible, or he wouldn't have had to change this experiment to the same base above, because he doesn't want anyone to discover the other two labs." James disproved this assumption.
"Yes, the professor wants to keep the fire of the earth inside the dome. It was almost exhausted half of the professor's life's work. Centaur agrees with James.
"Well, there must be a way back here. Okay, now let's talk about some of the imaginations we come across that defy the common sense of physics. "James seems to have caught something.
"This room goes on and on, with no end in sight." Eve, who was listening intently, also participated.
"We went up the stairs, but on the other side we did go down, and we felt like we were going up!" Yi San mentions the biggest paradox.
"Sherlock Holmes said that the result of deductive reasoning, no matter how improbable, must be true. It's just that we don't have the details. "James had a bold idea.
"Since this is a five-dimensional space, then we shouldn't treat the problem with common sense, since it is not the reason for transparent creatures, and it cannot be the Escher space, then, the two staircases themselves are connected! It's just in a different form. ”
"Everybody knows the while loop code in C, right? In order for a loop to be made, the conditions in while must be met. The key here is to find this while, otherwise, we will never be able to get out of this while statement. James uses an analogy in the language of computers he is familiar with.
"Why do we feel up when we walk up the stairs?" James already knew with a good deal of certainty what was going on here.
"What does it mean to feel upward?" Yi Sanyi didn't turn the corner for a while.
"What is it that makes us feel like we're climbing or descending stairs?" James said in a different way.
"It's just a feeling, it's tiring to go up the stairs. It's easy to descend the stairs. "Yi San doesn't know what James is selling.
"You mean gravity!" Kyle thought of it at once.
Walking up stairs is tiring because of gravity, and being able to feel like you're going up stairs is because of gravity.
"You look at this hallway, and you think it's flat, what if it's not?" James already has a very bold assumption.
"Stop selling it, hurry up." The centaurs tickled James's heart.
"Okay, my reasoning is this, this third laboratory has now become a sphere, and we are on the inner wall of the sphere!" James affirmed with certainty.
"In that case, it explains why you can go from one staircase to the other, because they are connected." Yi San suddenly felt that there was such a simple theory that could break the fallacy of ghosts hitting walls, and it was really embarrassing to think about it just now.
"How is that possible, then if we are standing on the top of the inside wall of the ball, how can we not fall." Eve thought it was a little ridiculous.
"It's said that we shouldn't look at this base with common sense, and if this idea is true, then, the question is, why didn't we fall off?" James continued Eve's words.
"So, the center of the sphere gives us gravity, no, it's antigravity." Kyle said incredulously.
"Yes, that's right. Anyway, there's a weird gravitational field! And the center of the sphere should be the place where the Juloba stone plate is placed. James also deduced the location of the Juloba stone plate in passing.
"If we are on the inner wall of a sphere, then this corridor should be steep and we should look like a curved surface. Besides, this corridor is so short that it should form a very steep slope. Yi San could only stop at the first line of thought in front of James.
"The curvature of this corridor must not be zero, why must this corridor make up this ball wall, maybe this corridor is just a small inferior arc of this sphere. The earth is an example, can you feel the earth is round when you stand here? When Magellan didn't sail, everyone said that the earth was square. James said.
"Curvature really isn't zero." The centaur measured it with the device, confirming James's claim.
"So this five-dimensional space or something has broken this laboratory?" Wang Xiaoming also understood.
"Yes, let's say this lab was originally a piece of paper, going from one end to the other," James said, gesturing down the hallway, "and it's impossible to be together." However, if you fold this piece of paper into a paper tube, then the two ends are connected, and this metaphor is similar to the metaphor of a wormhole, everyone understands. ”
I understand, now even Yi San and Eve nodded, James's simple speech is indeed deeply rooted in the hearts of the people.
"How do you break a chopstick?" James asked.
"Just break it." Eve became active.
"Yes, it's the force, this laboratory is bent, so it must be somewhere that gives the force, if it's a sphere, then the point where the force should be applied should be in the center of the sphere. And, I think, those weird piano key spaces on the ceiling are caused by this thing, because of the gravitational and irregular gravitational field that has to be distorted! James said, looking at the eerie spaces on the ceiling.
The crowd woke up.
"Yes, I'm still thinking about you, a hairy kid who just graduated, and I didn't want to bring you here." Kyle thinks that's how it should be.
The base usually has some large equipment, so the ceiling of the first floor of the base will be built quite high, and the ceiling of this floor is six or seven meters high.
Everyone was dazed just now, and they didn't pay much attention to the ceiling.
After some calm analysis, Wang Xiaoming couldn't wait to verify the results, and walked to the middle of the corridor with the high beams. Everyone also excitedly followed along.
"According to the circular vertical diameter theorem, the sphere must be in the middle of the corridor!" James said to Wang Xiaoming.
"I know." Wang Xiaoming excitedly turned on the light and walked to the middle of the corridor. Take a look at it.
Indeed, the piano key space two meters from the ceiling has broken the lights into strips, and it seems that James's reasoning is good.
But Wang Xiaoming shone back and forth for a few meters, and there was nothing white on the ceiling. The crowd was dumbfounded. Isn't that the case?
"Maybe behind the wall, we blew him up, and you can tell if it's a god or a ghost." Kyle's temper tantrum is back up.
"Don't worry, if this sphere is irregular, it's rugby." James was unhurried, and was confident when he saw the piano key space that could affect the flashlight.
"Why are you talking about it and I'll knock you to death in the middle of your words, do you believe it or not?" Wang Xiaoming really wanted to knock James to death with a stick.
"If it's an ellipsoid, then there should be oddities at the focal point of the ellipsoid! You take a picture of it again. "James looked confident.
Kyle and the centaurs also turn on their flashlights, shining inch by inch on the ceiling.
After walking about twenty meters, when they were almost at the end of the corridor, the centaurs shone on a piece of metal, and the reflection of the metal made everyone's eyes shine.
"This, there's a door here? Hey, how is it possible, shouldn't this door be in the hallway!? Centaur was surprised.
Although it is theoretically deduced that there is something strange on the ceiling, it is also very strange that everyone is nervous when they really see a door. But then everyone returned to normal, because it was no longer strange to see many strange things.
"It's this door, and inside this door is the Juloba Stone Plate!" The centaur said to the crowd.
I just don't know why I ran to the ceiling.
It seems that James's reasoning is correct. The hearts of the people who were holding on were temporarily relaxed.
The next step is how to open the door.