The abyss is already cold, and Huang Ji actually wants all the dark interstellar forces supported by the Truth Society to be cold!

Occasionally Taku said without hesitation: "Okay, you can tell me first."

Huang Ji laughed: "You promised to use the virtual particle foam machine in front of you, but suddenly attacked me..."

Occasionally, he spread his hands and said, "I promised the deal, but I didn't say I couldn't sneak attack you. When I took you back, I will definitely keep my promise and give you the foam machine."

"Okay, you definitely don't believe it..."

Huang Ji nodded and said, "I believe, if you say you will give it to me, you will definitely give it to me, just like a chance valley."

"But in order to squeeze out all my secrets, you took the opportunity to attack while agreeing. This is not a good habit."

Tuo was stunned for a moment, then sneered: "You are so good at saying anything. Now the foam machine and the quantum wormhole star are in your hands. Isn't it enough to exchange?"

"Now they are my spoils, why do you trade them with me? If you want a dimensional model, just exchange them for the pirates. Remember, you have missed an opportunity." Huang Jiyouran said.

The two of the Truth Society were silent, seemingly weighing the pros and cons.

The loss this time is not bad. If there is no gain, your authority in the Truth Society will be reduced in the future and there will be very few resources you can control.

Of course, none of these matters. What is important is that even though he knows that Huang Ji has the knowledge they have always dreamed of, he can only leave in shame, and he is really unwilling to accept it.

Yu Zhenbo suddenly said: "If it is valuable enough knowledge, we don't care about those pirates at all. So what if we leave them all to you..."

"But, the dimensional model is just a one-sided statement for you. You always have to prove to us that you have it!"

As he said that, Yu Zhenbo stared at Huang Ji with bright eyes.

Huang Ji laughed and said, "It's actually very simple. Any dimension has its π value that is the absolute value of the dimension."

The two of them had lit up their eyes. Gu accidentally told them about this.

Of course, Huang Ji didn't say it directly before, but Gu accidentally guessed that pi was the dimension value after listening to him.

At this moment, he heard Huang Ji admit it in person, and Takuro couldn't help but say, "How do you prove it!"

Huang Ji said: "In a world where there is only length, there is no width or height. If you forcefully define a circle on a straight line, then what is the ratio of its diameter to its circumference?"

Takuro replied instantly: "There is no concept of circle without length. If you have to define it, it is just a point. A point that does not exist in diameter or circumference!"

Yu Zhenbo suddenly said: "A point, no matter what concept it is added to it, it is the same, so its diameter is equal to the circumference, and the infinite power of the diameter is still equal to itself! That is '1'."

"This is one dimension, what about two dimensions?" Huang Ji said with a smile.

Yu Zhenbo frowned and said, "Two-dimensional...that is a circle on a normal plane, the π value is 3.1415926535..."

Huang Ji shook his head and said, "You are talking about the plane under three-dimensional space and time. You are standing in your own dimension to overlook the circle, and you have a section of the dimension."

"You have to remove your own factors, imagine a low-dimensional perspective with only length and width, and be in a world without height."

Yu Zhenbo fell into deep thought, but could not imagine it.

Huang Ji spread his palms and a white neutron ball appeared in the palm of his palm.

It is extremely round, and Huang Ji slashes in the air, like playing with a fruit ninja, cutting the sphere open.

It was hollow inside, and two bowl-shaped hemispheres were formed!

When Takuro saw this scene, he suddenly realized: "It's 2!"

Yu Zhenbo said in shock: "Why?"

Occasionally, Taku raised his hand and made two bowl-shaped hemispheres. He reached out to draw a black line on it, but he drew a black line from the edge of the bowl along the valley in the bowl, and finally drew to the edge of the bowl directly opposite the starting point of the black line.

If Yu Zhenbo doesn’t understand this, it’s useless to study the dimension for so long.

He danced and said, "Yes, yes, yes! In the case of only two dimensions, the measurement diameter cannot be measured from the middle, and must go along the edge of the circle to the opposite side."

"So in a two-dimensional perspective with no concept of height, the diameter of the circle is equal to its semicircular arc! The circumference is twice the diameter, that is, π is equal to 2!"

To imagine a dimension, you must apply to that perspective.

It is unimaginable for high dimensions, but it is still possible for low dimensions.

A two-dimensional circle is the cross section of a ball. Draw it on a piece of paper, then draw an ant to let it climb on the circle.

Until here, everyone is right, but the mistake is that when calculating the diameter, they use their own three-dimensional biological perspective!

People with three-dimensional dimensions will draw a circle directly on paper, then connect the central axis in the middle, pass through the center of the circle, calculate the length, and this is the diameter.

But little knows that this is a typical perspective of God!

In the actual two-dimensional world, two-dimensional ants cannot pass through the so-called "central axis" in the middle. That is outside the universe! That is the path that only high-dimensional creatures can take!

Ants can only climb on the arc of a circle, and it is impossible to "stand up", and it is even more impossible to overlook the circle and crawl through the void area in the middle! Then it is super dimensional.

When it climbs from the Antarctic of the circle and goes along the edge to the North Pole, ant scientists know: "This is the diameter of the circle, it is D!"

Then it climbed back to the Antarctic along the other side of the North Pole and walked out of a circle! Then it happily announced: "The circumference of the circle is twice the diameter! π is equal to 2!"

If there is a God who insists that the ant walk over the central axis and define the line of this circle with a downward perspective, it is equivalent to only drawing a straight line for the ant, which is definitely not possible!

Because the definition of a circle must be able to move forward from the starting point and return to the origin, this is called a circle!

Therefore, you must draw a central axis like this on the back of the paper. The ant walks through the central axis from the front of the paper, then to the back of the paper, and walks down along the second central axis to return to the origin.

In this way, if you walk through the central axis twice the front and back sides in total, the pi is still equal to 2.

Occasionally Taku said: "Why is three dimension not 3? Why is it an unreasonable number?"

Huang Ji laughed and said, "The dimensions we define are the most standard and simplified dimensions. In fact, the multi-dimensional world is much more complex than this. The π value of the standard three-dimensional model is 3."

"But we are not in standard three-dimensional space-time, so the actual calculated value is a little larger."

“The universe has ten dimensions, not the ‘ten’ dimensions.”

"Where are countless dimensions of space-time and space between any two dimensions, which are ‘low-dimensional excess’ and ‘high-dimensional under-full’.”

"Where there are infinite numbers between 3 and 4, and they are not empty."

The two of the True Society looked at each other, with bitterness on their lips. There was such a big problem with their dimension understanding.

No wonder we have never made any progress. We have obviously developed engineering, but in theory, we have apart from big problems.

"Can you prove it mathematically?" Takumi murmured.

Huang Ji smiled and said, "I have a wonderful way to prove it, but your hard drive is too small to install."

Yu Zhenbo said excitedly: "How is that possible! If you say you can't hold it, I will make this star into a quantum hard disk now!"

Huang Ji shook his head and said, "Even if you make all the matter in the observable universe into a quantum hard disk, you can't install it."

The two were shocked and said incredibly: "How could it be so big? It's just a mathematical deduction, can it be recorded with matter from the entire universe?"

"I took you into two dimensions, your height is zero. How big are you?" Huang Ji laughed.

The two were silent, the answer was that infinite tends to infinity...

Huang Ji explained: "It is difficult to strictly prove this with existing mathematical tools because it is too low. Calculating high dimensions with low dimensions, and data tends to tend to be infinity."

"One dimension is missing, that's a world of difference."

"So the dimensional model must use brand new mathematical tools. I can't use existing classical mathematics to prove to you that pi is the dimensional value."

"This is the most difficult thing to get started with Dimensional Technology. The reason why many civilizations are stuck here is also this."

"The normal way is to first assume that π is the absolute value of the dimension, and then establish a dimensional model and successfully parse the high-dimensional data, you can inversely prove this."

The quantum wormhole of Truth Society has been very perfect in engineering. Truth Society’s efforts to immerse this for 40,000 years are not in vain.

Unfortunately, the data model has too many defects, so there is never a qualitative breakthrough.

It's like a supercomputer is still using an old and backward operating system.

However, this problem is not a problem for Huang Ji at all. When he started to come into contact with dimension technology, he knew that 'pi is the absolute value of the dimension number'.

It means that naturally passes through a filter! Many civilized theories will get stuck and he jumps over directly.

Occasionally Taku trembled excitedly and growled: "What exactly is the dimensional model?"

Huang Ji guided: "Actually, you can think about it more."

The two fell into deep thought, and Yu Zhenbo suddenly said: "Since the absolute value of the dimension is π, the Cartesian coordinate system must be incomplete, so it is best to use the spherical coordinate system."

"But, how do you express 3.1415926 coordinate axes? No matter how many dimension axes are drawn in the ball, they are all integers!"

Occasionally, Tuo stared at him and said, "Tell us! Huang Ji! How to do it?"

Huang Ji tilted his head and said, "If you can't think of it, go back and ask the geniuses in your club. Someone will definitely think of it. As long as you know that the absolute value is π, it's only a matter of time to build a model."

Yu Zhenbo said impatiently: "We have been wasted for 40,000 years! I am almost in a hurry! Don't worry, I will personally capture the leaders of the major dark interstellar stars! Whatever you want!"

"Knowledge! Knowledge! I want to know what it looks like now! It must be beautiful! It must be beautiful!"

He rushed to Huang Ji's face, not caring that he had no unified force field protection now.

Huang Ji did not attack, but reached out and touched his head.

Yu Zhenbo did not resist at all, staring at Huang Ji.

Huang Ji said: "Of course, a single spherical coordinate system cannot do it. It is necessary to define that any point on the surface of the sphere is not a 'point', but a 'spherical coordinate system'."

The two of them had a buzzing brain and suddenly realized.
To be continued...