Seeing Wang Qi's improvement of the fire cloud map, Zhen Yanzi was very excited.

In his opinion, Wang Qi finally came up with some results that he could understand. He can definitely understand the drawings that the ancient monks could draw tens of thousands of years ago! Didn't they all say that the Immortal Dao is constantly developing!

However, when Zhen Yanzi asked Wang Qi to explain the principle, Wang Qi rolled his eyes: "History is developing—but only in the two thousand years since the establishment of the present law, and at the stage when the ancient law was created from scratch." Don't forget, old man, that your era belongs to the great regression that has lasted for tens of thousands of years, or the bottom of the great regression. ”

Zhen Yanzi was annoyed and angry: "You can count it yourself, and the old man can just watch it." ”

Xueba scratched his head and asked, "Old man." A contemporary overhaul of the Geometric Demon Lord, known as the Geometric God Monarch today, do you know?"

"Of course, I know that 'Painting Heaven Five Styles' and 'Painting Heaven Five Questions' were also very famous magical powers in ancient times. ”

Wang Qi asked again: "Then do you know the arithmetic of the Geometric Divine Monarch to draw the Five Heavenly Styles?"

"Forehead ......"

"Then there's no need to talk about it. Wang Qi spread his hands: "Painting the five principles of the sky, painting the five righteousness of the sky, and the twenty-three righteousness are the foundation of the foundation." If Ou Zhengyu has never solved it, you don't want to get involved in this part. ”

The five principles of painting heaven and the five questions of painting heaven are the so-called five axioms and five axioms of Euclid on the earth. Surface geometry, Hilbert's high-dimensional phase spaces, and fractals and fractal dimensions are all based on Euclidean geometry.

The so-called fractal dimension is the fractional dimension. All fractals can be described in terms of fractional dimensions.

The true exposition is not forgiving. Wang Qi sighed and said, "You can watch it if you like it, don't regret it." ”

After saying that, Xueba didn't really explain in the regular meeting, and thought about it on his own.

"This has an area, and the topological dimension is undoubtedly two-dimensional. He bit the barrel of his pen: "According to the definition that the fractal dimension is greater than the topological dimension, this figure should be larger than two dimensions and less than three dimensions." ”

While thinking, Wang Qi wrote on the paper that "greater than two phases and less than three phases".

"Phase" is the term used by Shenzhou Xiandao to interpret "dimension".

This is a habit he has recently developed, writing drafts and insisting on using Shenzhou's mathematical language.

After Wang Qi wrote down this sentence, Zhen Yanzi had a feeling of madness. followed Wang Qi to take a lot of classes in the fairy courtyard, and he can also understand what is "two phases" and what is "three phases". But "greater than two phases and less than three phases"?

Since Wang Qi had already reminded him before, for the sake of face, the old man was embarrassed to ask again.

Next, Wang Qi wrote down such a formula in the Shenzhou language: K=(1/L)-Df.

"If a graph is made up of similar b figures that reduce the original figure to 1/a, there are: a^D=b, D=(lnb)/(lna)...... Divide this diagram roughly...... That's it, then divide ......"

Wang Qi kept calculating, calculating the fractal dimension of this fractal, calculating the expression of this fractal, and calculating the qiē of this fractal!

The jade ring "mathematics" shines brightly. Although it is not strong enough for the logarithm of fingers, it can still reduce some of Wangqi's workload when used wisely.

Wang Qi counted and counted like this, until the fish belly of the East was white.

When Wang Qi stretched his waist and wrote down the last formula, he realized that he seemed to be a little too preoccupied: "Oops, overcounted...... I hate that I want to sleep!"

Masako sighed, "You've obviously extracted the useful parts from the entire contemplation map......

The boy waved his hand: "That's not enough. The Lingbao fractal diagram is a fractal, but it is not something that can be accurately depicted by intuitive feeling, in fact, the flame cloud diagram only depicts a rough image. ”

"What about the whole one?"

Wang Qi proudly pointed to the equation on the paper: "That's it! Figures that cannot be accurately depicted with a pen must be depicted with arithmetic." ”

Masako stared at Wang Qi's style for a long time. At the end, the old man let out a dejected sigh: "Old man...... I don't understand!"

"So, don't be afraid after exhausting your spirit! Lingbao fractal diagram can still help me calm my demons and recuperate my spirit in an incomplete situation, this full version can't reply to my spirit at once!"

The old man hesitated a little: "This ...... Spiritual practice is the most avoidable. You have just created this method, so it's better not to try it at this juncture. ”

"I'm a scientific cultivator with theoretical guidance!" Wang Qi did not believe in evil, but instead began to close his eyes and think cross-legged.

The first step in thinking is to sketch out a mental image. For Wang Qi, who has already mastered the expression of the supernatant fractal diagram, this step is countless times simpler than outlining the flame cloud diagram.

Soon, a complex figure appeared in Wang Qi's mind. The feeling of grasping oneself for a year has appeared again!

No, not this time. The boy felt that his "self" and "spiritual treasure" had become a whirlpool, and began to frantically devour his memory, devouring his "self" and "primitive"!

"It's ......"

Then, the "self" began to grow, and Wang Qi felt that the power of his soul was growing like crazy!

The change of soul leads to the change of mana. Wang Qi's mana began to gradually merge into his soul.

At this moment, a condensed silky mana stretched out from Wang Qi's dantian. This mana condensed but did not emit, directly along Wang Qi's soul, piercing into the whirlpool caused by the spirit treasure fractal diagram.

"Geometry book?

Wang Qi paused for a moment. The Spirit Treasure Classification Diagram could assist in soul cultivation, which was still expected by him. However, the fractal diagram caused a change in his mana, which he did not expect.

Wang Qi secretly said that it was not good, and he was ready to stop this cultivation. However, as soon as the Heavenly Position Axis, which symbolized the number axis, went deep into the fractal vortex, Wang Qi felt that his mana and soul began to spin wildly at the same time, and they were out of control together!

The soul is chaotic, and illusions breed.

The scenes in front of Wang Qi's eyes faded one by one, leaving only countless complex and magnificent scenes. Twisting coastlines, undulating mountains, rough sections, vagaries of floating clouds, meandering rivers, crisscrossing blood vessels, and dazzling starry skies......

Gradually, these scenes are abstracted into geometric figures by the power of the geometric book. All of these geometries are extremely irregular and extremely unsmooth.

These are complex and random geometric objects that cannot be described in traditional Euclidean geometry! These images are fractals!

Fractals continue to be simplified. Irregular, broken, fractional...... Concepts such as these pervade the will of this Wangzaki.

Then, the boy felt that the Heavenly Position Axis connected to the Lingbao fractal diagram began to converge.

A fractal is a fractal dimension, and its number axis is naturally convergent.

Xueba felt a chill to the bone. The geometry book was based on Euclidean geometry in its early days. Only after combining it with the Fortune Sutra into one can it involve a higher level of geometry. And the convergence of the number axis ...... It is not compatible with traditional Euclidean geometry at all!

As soon as the number axis converged, Wang Qi felt a sharp pain coming from the dantian. Then, his whole body was shattered and clashed. Under the agitation of mana, Wang Qi couldn't help but spurt out a mouthful of blood.

Mao Zimiao looked at this scene dumbfounded. She was awakened by the abnormal mana fluctuations in the room, and happened to see this scene. The massive impact froze her for a few seconds. Then, the girl let out a mournful cry: "Kosaki!"

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Wang Qi cultivated immortals before halfway and in the middle of the road...... Ahem, just kidding, here's the Taoist who is still trying to sell cute tickets after the computer burns down