The crowd laughed at the crows.

Alice said, "Ma'am, do you already know what the fourth dimension is?" Can we really see it? ”

"If it's what I think it is, then we can all see it."

"What do you think?"

"Look in a dream."

"In a dream?" Alice's face was full of doubts, "What do you see in your dreams?" We can't control our dreams. ”

"We can't, but they can." Mrs. Larry pointed to Aoki, Szeto, Dewar, and Su Huilan and said, "The fourth dimension is not time, nor is it a gravitational surface, but - spirit!" ”

Aoki's heart shook, and he suddenly felt that the spiritual force field on the island had become solemn, and the three suns in the sky seemed to be distorted.

Alice still didn't understand, "But aren't dreams just a chaotic world of our memories?" It's still three-dimensional! Where does the four dimensions come from? ”

Mrs. Larry laughed, "You can't control dreams, and of course you don't know the power of psychic power. Ludwig and I have studied the topic of the independence of spiritual consciousness, and Ludwig's research was once very in-depth, but unfortunately I don't have the talent for this, so I don't know how to control dreams to expand into four-dimensional space, and I am not a physicist, so it is better to ask a professional to answer this aspect. ”

After she finished speaking, she looked at Situ.

Situ said: "We can indeed think of dreams as four-dimensional spaces – dreams are supported by spiritual power, and the material that composes them is human memory. We can also think of it as a projection of the real world on the spiritual, that is, the fourth dimension.

The world we live in is three-dimensional, and the projection of three dimensions in two dimensions will become two-dimensional, and the projection of three dimensions in four dimensions will also become four-dimensional. But just like the projection of a two-dimensional in three dimensions, it is only a distorted phantom and cannot change its own dimensional attributes, and the projection of a three-dimensional in the fourth dimension is also a phantom. In addition, our human brains can only perceive three-dimensional things, so dreams still look three-dimensional, and because they are phantoms, they are not only distorted, but also chaotic and changeable.

According to Madame's meaning, if these words are the projection of three-dimensional words left by four-dimensional beings on the two-dimensional plane, and their fourth dimension happens to be the same as the dimension that we support in our dreams by spirit, then as long as these words are put into dreams and restored into three-dimensional words with spirit, consciousness can perceive the meaning they express. ”

Alice said, "But how do you restore it?" Isn't our brain incapable of perceiving things in four dimensions? Even if you can control your dreams, isn't it still a three-dimensional world in your brain's cognition? ”

Situ smiled: "We don't need to see what the four dimensions are, as Madame said, the information encoding method of civilized languages is one dimension lower than the space where civilization itself is located, these words are originally three-dimensional, we just need to restore them to three-dimensional." Isn't it what our brains are good at when we make up two-dimensional things into three-dimensional brains? ”

"The brain is good at this?" Alice said puzzled.

"yes, think about it, isn't what our eyes see two-dimensional in nature?"

"No, it's three-dimensional!"

Raven suddenly interjected, "Oh, stupid woman, have you ever played Super Mario?" ”

Alice replied, "You're stupid! Stupid bird! But curiosity overcame her competitiveness, "Of course I've played Mario, what's wrong?" ”

Raven said, "Mario is a two-dimensional creature, no objection to this, stupid woman?" ”

Alice said, "No objection, you stupid bird, please stop calling me stupid woman!" ”

The crow croaked, "Okay, okay, stupid woman!" Now imagine you have a computer in front of you and Mario has just stepped on a turtle with a green ...... in front of it Mailbox? Oh, that's the mailbox, at least that's what you see, right? But from Mario's point of view, what does he see? …… Quack, it's a line, Mario can't see the shape of the whole mailbox, it's a line standing in front of him, right, stupid woman? ”

Alice was affected by the crow, as if she had really seen the familiar game screen. She nodded unconsciously.

Raven continued, "Two-dimensional creatures can only see one dimension, and one-dimensional creatures can only see zero-dimensional, so Mario sees all lines, and Snake sees all points. Human beings are three-dimensional creatures, and in the same way, people can only see the two-dimensional world, and you think that what you see is three-dimensional, which is made up by your brain, stupid woman, understand? ”

"Ah, it seems to be true! What the eye sees is a projection of an object on the retina, which is flat, like a mirror, and it is our brain that restores it to three dimensions through the analysis of the spectrum. ”

Alice suddenly realized, completely forgetting that the crow was still calling her stupid woman, "What a creature sees is always one dimension lower than the space it is in, which is exactly the same as the theory that the information of the language spoken by Madame is one dimension lower than the civilization itself!" ”

Mrs. Larry said to Aoki, "What a clever bird! ”

The crow stood on top of Aoki's head, raised its head and croaked a few times.

Alice said, "But why dream when our brains can automatically reduce two dimensions to three dimensions?" ”

"Because we don't know from which direction it's projected into 2D."

Situ explained, "The human brain cannot intuitively perceive and understand the four dimensions, so we can't see the direction of its projection, and correspondingly, it is difficult to grasp the direction of the extension of the dimension when it is restored."

Expanding one dimension to two dimensions in three-dimensional space can be achieved in two directions; In the same way, in a four-dimensional space, there are two directions to choose from when the two dimensions are expanded into three dimensions. Given the uncertainty of these text projection planes, it may be projected on any face, each with two reduction directions to choose from. If you look at three-dimensional space as a cube, it has six faces, each of which and the fourth dimension can form a new cube, and with its own and its mirror projections, there may be a total of eight three-dimensional spaces and twenty-four planes. The projection direction of 3D text can be any plane, we need to judge its direction, just like a plane drawing of an object, you have to know whether it is a top, bottom or side view, and then you can restore it to a three-dimensional shape. In the four-dimensional space, this matter is obviously much more difficult. ”

"That's too complicated, isn't it?" Alice sighed.

Situ said: "It's not complicated, as long as it's in the right direction, it's nothing more than spending some more mental energy to try." ”

Aoki said, "Then let's try." ”

He always felt that the meaning of the words was in his head, like an engineer looking at an incomplete drawing with no annotations. Now that this drawing has been made up in three copies, they have also found a way to restore it, with the combined force of him, Situ, Dewar and Su Huilan, plus the scepter in his hand, the spiritual power must be enough to support it.

Of those present, only Alice and Lady Larry were not awakened, and Madame was an authority on linguistics, and they would obviously bring her with them to decipher the text. Alice knew that they were about to start, and said hurriedly:

"Hey, can you take me into my dreams and open my eyes!"