"This last class for you today is also my last class before retirement. After finishing your class, I will officially retire..." At the beginning of the second natural history class, the naturalist teacher spoke. The first sentence caused the entire classroom to fall into absolute silence. Even Zhang Tie did not expect that today's class would be the teacher's last class. Since entering Ru No. 7 Middle School, he seemed I have become accustomed to this old man with completely gray hair coming quietly during class and leaving quietly after class. I never thought that one day this old man would say goodbye to everyone on the podium. As soon as the natural history teacher said this, Even those guys in the classroom who were still sleeping to catch up on their drowsiness seemed to have woken up and looked at the old man in front of them in astonishment. I started to feel a little reluctant.
"Teacher, do you really want to leave..." A guy in the front row asked what everyone was thinking.
"I'm old enough and have served Black Flame City for a long enough time. It's time to retire!" The old man on the podium smiled kindly, "I know what everyone is worried about. As long as Black Flame If the walls of the city are not breached by aliens, my pension should be enough for me to enjoy my old age. But if the walls of Black Flame City are to be strong forever, it depends on you and not me. So how will the teacher’s future retirement life be lived? How about it? I can only ask you all! For this reason, in today’s last natural history class, I will use my life’s experience and knowledge to talk to you about the issue that everyone is most concerned about, a strong man who has the ability to protect the human race. What is the path of the leader!"
The old man's last words shook everyone's spirits. Everyone straightened up and looked at the old man with burning eyes, who suddenly made everyone feel reluctant and respectable.
The old man did not speak, but took out a small ordinary snail shell and two pine cones from his pocket, handed them out from the front row, and let everyone pass them around to look at them. In one minute, these two ordinary things came from the front row. They were passed around in everyone's hands, and there was nothing special at all. Zhang Tie took the two things and looked at them over and over for a few seconds, but couldn't see anything special.
"Have you noticed anything special about this snail shell and these two pine cones?" the old man asked.
Everyone shook their heads.
"Do you know that the secret of a strong human's path to advancement is hidden in these ordinary things? You all know that a person can continuously improve his strength as long as he continues to ignite his body's bright points, but human warriors What is the standard for classifying human strength? Why are some people at level five, some at level six, some at level seven, and some at level ten or higher? Who gave us the human race Are the levels and ranks of warriors thought up by some big shots in the warrior guild?"
Zhang Tie was also stunned. In the past, Zhang Tie really thought that these standards were set by the big shots, didn't he
"Of course not. Who in this world has the right to set such standards so that hundreds of millions of people and the endless stream of strong men can obediently abide by them?"
"Teacher, who is the person who set this standard?"
"It is not humans who set this standard, but God or the great law of the universe!"
The animals in the whole class were in an uproar and talking about it.
"This standard is not specifically set for the human race, but is set by the laws of the universe for everything in the universe. The snail shell and pine cone I just handed over to you also contain such a standard, but you have not discovered it. !" The old man stood on the podium and finished speaking. Then he turned around and drew two patterns with chalk on the blackboard. One pattern was a spiral curve shaped like a snail shell, and the other pattern was some crosses similar to pine cones. lines.
After finishing these drawings, the old man turned around and asked, "How many bright spots on the body should the first-order soldier ignite?"
"One, just light the bright spot in the shrine..." Everyone answered a question. Then the old man drew a square in the center of the curve of the snail shell, and let the spiral curve pass through the two opposite corners of the square from the starting point...
"Where's the second level?"
"It's still the same, just light the bright spot on the tail vertebra of the spine..."
The old man expanded the icon again and drew a square with the same length.
"What about the third level?"
"Just light up two bright spots on your spine!"
This time, expand the side units of the square wrapped by the curve to twice the original size.
"What about the fourth level?"
"3!"
"Where's the fifth level?"
"5"
"Where's the sixth level?"
"8… "
As the old man asked each time, the spiral curve on the blackboard was wrapped by various squares with increasing side lengths in the same proportion. In the end, when the old man asked about the tenth level, there was no one in the class. One person can answer that the world of warriors of level 10 and above has completely exceeded the limit that the animals can look up to. That world, for everyone, is as far away as the cataclysm...
The natural history teacher did not laugh at everyone, but wrote a series of numbers on the blackboard that everyone had just answered - 1, 1, 2, 3, 5, 8, 13, 21, 34... and then wrote the corresponding numbers below the numbers. The level and position of the person, starting from the first level corresponding to 1, to the ninth level corresponding to 34, finally turned around and looked at everyone with bright eyes, "Don't you notice these ignited lights that represent levels? Is there a pattern in the dot numbers?”
After staring at the row of numbers carefully for a while, someone finally realized, "Teacher, the last number in this row is the sum of the previous two numbers!"
"anything else?"
Zhang Tie looked at those series of numbers, and something wanted to come out of his mind, but he couldn't catch it.
"Can you calculate the quotient of two adjacent numbers in these numbers and see what the pattern is?"
The animals, who all have a certain mathematical foundation, immersed themselves in calculations at their desks in the living room. The quotient of the first one is 1, the quotient of the second one is 0.5, and the quotient of the third one is an infinite loop number of 0.66666. , the fourth quotient is 0.6, the fifth quotient is 0.625, the sixth quotient is 0.61538…, the seventh quotient is 0.619047…, the eighth quotient is 0.617647…
"Have you noticed that these values are infinitely close to the golden number 0.618 in the end..." The old man revealed the answer to the mystery, and everyone suddenly realized, yes, why is this happening.
"The bright point of the shrine is 1, and the human spine has 34 sections. When all the bright points on the spine are ignited starting from the shrine, it is the sign of becoming a level 9 warrior. Each level of leap forward will There are strict standards. Knowing this rule, can you calculate the number of bright points that need to be ignited to become a tenth-level warrior? Is 55 right? Next, is 89? As you go to the back, this number is calculated. It will become more and more terrifying, simply increasing in a geometric progression. This is why the disparity in strength becomes greater as the level and rank difference goes to the back. And this sequence..." The old man turned around and pointed at the column written on the blackboard. Numbers, "called the Fibonacci Sequence, are the golden sequence that human mathematicians discovered hundreds of years before the Cataclysm that hide countless mysteries. It contains the laws of the universe and creation. Look at those two pine cones. Count the spirals on the left and right, and see if the smaller one has five on the left and eight on the right, and the larger one has eight on the left and thirteen on the right, 5, 8, 13, this Are the three numbers within the Fibonacci sequence? I drew the snail shell curve you just saw on the blackboard. You only need to look at the squares on the snail shell curve to understand this curve. The relationship with this sequence, this curve is called the Fibonacci curve, also called the golden curve, which is the geometric expression of this sequence. The golden sequence and the golden curve can be found in almost any living creature. If you pay attention to nature and the things around you, you will make more discoveries. You can observe the flower disk of a sunflower. There are also two sets of spirals in it, 34 and 55, 55 and 89, or 89 and 144. Numbers, you will find the same thing on rose flowers, thistle leaves and other plants. After the cataclysm, humans discovered the secrets of human body cultivation from the ruins excavated from the underground world, and the path of human advancement and cultivation , it is advancing along such a golden curve and sequence of principles drawn by the Lord of Creator. All living things are advancing along this curve. This curve and sequence are the embodiment of the laws of the universe, so through Only the warrior ranks divided by this curve and sequence can win the unanimous recognition of all races and all strong men... "
All the animals had a sense of enlightenment after hearing this, including Zhang Tie. In the past, he only understood that in order to advance, he had to constantly ignite the bright points of the body, and the number of bright points that needed to be ignited for each level. It was different, but he didn't think about why it was like this. It turned out that all the secrets were hidden in the golden spiral and the laws of the universe contained in the sequence.
"Teacher, after the tenth level, what is the highest level of cultivation?" It was Baghdad who raised his hand and asked a question.
"No one can answer this question so far, because the practice after the tenth level is the biggest secret everywhere, and the knowledge after the tenth level is the secret among the secrets. The bigger The reason is because the golden sequence has no end. It is only approaching in the constant expansion, constantly approaching the 0.618 that represents the most perfect law of God and the universe. Human beings have once again embarked on the path of cultivation and embarked on that golden sequence. It is less than 900 years since the spiral began to rediscover the treasure of one's own body, while the evolution of the universe may have been tens of billions of years ago. Humanity has just begun its journey on that golden spiral. Before the cataclysm, Human beings have always been blind and arrogant, regarding themselves as the masters of the universe and all things. However, after the Catastrophe, humans realized that the so-called human race is just an insignificant member of the countless ethnic groups in the universe and Kunang Continent. It is even possible that For a long period of time before the Cataclysm, the human body and civilization level were not evolving, but degenerating. When humans had no retreat, the Cataclysm and the Star of God came, and everything was rewritten. In order to survive, human beings discovered the mystery of the body’s bright spots and started to embark on the path of evolution again. The Black Iron Age is the final end and a new beginning... "
In this last natural history class, the teacher opened a window for everyone to see a wider world that they had never thought of. Later in the course, everyone was manually calculating where the golden sequence would go—
When he advanced the golden sequence to the seventeenth position, Zhang Tie was dumbfounded. He looked at the seven numbers at the back with some disbelief. Could this be the world after level ten...