Chapter 453 Three-dimensional Nine Palace Gossip
The content of a new journal was displayed in front of Bai Lidu's eyes:
"Tuesday, September 2, 2087, Experiment Log 139, the following is a true record of the experimental process: Today, combined with previous research, I am going to try to reconstruct the nine squares of Vena according to the three-dimensional structure."
"In the nine-square grid of Luoshu, except for the center No. 5 is 'middle', the remaining eight are composed of the eight hexagrams of Taiji Bagua, and each hexagram in the eight trigrams is composed of three groups of hexagrams, and the hexagrams can be divided into yang or yin, representing the yang is a long horizontal, that is, '—', and the yin is two short horizontal, that is, '--'."
Bai Lidu actually knows the most basic information about the gossip pattern, but he has never studied it systematically, and now there is still a lot of time before the night auction live broadcast, so he patiently took a closer look:
"For the binary relationship between yang and yin, it is easy to think of binary language, that is, the machine language represented by the numbers 0 and 1, if the yang is represented by 1, and the yin is represented by 0, and the three hexagrams of each hexagram can be regarded as the three dimensions of three-dimensional space, then each hexagram that makes up the eight trigrams can actually be labeled with three binary numbers."
Zhu Xi of the Song Dynasty in order to be able to accurately remember the hexagram shape of the eight trigrams, he specially created a "Bagua Elephant Song", the content of which is: dry three links, Kun six breaks, Zhen Yang Yu, Gen covered the bowl, away from the void, Kan in the full, with the upper missing, Xun lower broken. From this, we can get the binary identifier of each hexagram:"
"Dry three in a row, for three yangs, that is, 111;"
"Kun six breaks, for three yin, that is, 000;"
"Zhen Yangyu is two yin and one yang, that is, 001;"
"Gen covered bowl, for one yang and two yin, that is, 100;"
"Separated from the void, it is two yang and one yin, that is, 101;"
"Kanzhong is full, for two yin and one yang, that is, 010;"
"Matching the lack, it is one yin and two yang, that is, 011;"
"Xun Xia is broken, for two yang and one yin, that is, 110."
For this part of the content, in fact, it is not particularly novel, as early as decades ago, someone publicly proposed it on the Internet, and Bai Lidu had heard a little, so he patiently continued to look down.
According to the setting of the three-dimensional Cartesian coordinate system, any point in space can be represented by a three-dimensional coordinate in the form of (X, Y, Z) in the case of a reference origin, where X is its projection position on the X-axis representing the horizontal length, and Y is its projection position on the Y-axis representing the longitudinal width. Z is its position on the Z axis, which represents the vertical height. ”
As an engineering student, Bai Lidu also quickly constructed a three-dimensional coordinate system in his mind based on the content of the log.
"Based on the above analysis, among the eight hexagrams, the coordinates of the Qianqian hexagram can be defined as (1,1,1), and the Kun hexagram is (0,0,0), because these two hexagrams do not need to consider the coordinate order of XYZ, so these two points are also the easiest to be clarified, but the other 6 points are not so easy, because the coordinate order of XYZ is different, it determines that the name and position of a hexagram will be completely different, so it is also necessary to correspond to the three hexagrams in the hexagram with XYZ."
Reading this, Bai Lidu also felt a little difficult, it seems that this experiment log is really not made up, continue:
"Taking the three '1' of the Qiangua as the starting point, this '1' represents the yang number, the three yang numbers, in fact, it can be regarded as the positive direction of the three directions in mathematics, from the perspective of the direction, in the east-west direction, the east is yang, and the west is yin; In the north-south direction, the south is yang, and the north is yin; In the upper and lower directions, the upper is yang, and the lower is yin, so the Qiangua can also be marked as (east, south, and up), and the kun hexagram is (west, north, and down), and the position of these two hexagrams in space is easy to be clarified. ”
According to the previous inference, among the four vertices at the top of the cube, the vertex on the right side of the side near me can be seen as "Qian", that is, the so-called "southeast up", and among the four endpoints at the bottom of the cube, the vertex on the left side of the side far away from me, that is, the point that is completely opposite to the dry point, can be regarded as "kun", that is, "northwest down", and the remaining 6 vertices, we can also slowly deduce. ”
Reading this, Bai Lidu also built a cube in his mind, and marked the dry points and kun points.
"A cube has a total of 8 vertices and 12 edges, each vertex will be connected by the other three vertices through the ridge, and the other three vertices connected to the dry point, namely (east, north, up), (east, south, down) and (west, south, up), careful study can find that the three points connected with the dry point actually contain two yang and one yin structure, but the order is different, and in the eight trigrams, there are exactly three hexagrams that conform to this structure, namely the separation hexagram, the exchange hexagram and the Xun hexagram; In the same way, the other three vertices connected to the kun point also contain the structure of two yin and one yang, which happens to be the remaining three hexagrams, namely the Kan hexagram, the Gen hexagram and the Zhen hexagram.
Dizzy, Bai Lidu felt that his head seemed to be a little unable to turn, if he wasn't still wearing a helmet now, he would definitely have to find a paper and pen to actually sketch it.
"Let's first analyze the three points of separation, dui and Xun that are connected to the dry point:"
"The separation in the Bagua is fire, and the fire in the four elephants belongs to the south, and among the three coordinate points that have been clearly defined before, (east, south, down) and (west, south, and upper) all contain the element of "south", which should be one of the two, and it will be set aside for the time being; ”
The water in the four images belongs to the north, and among the three points that were clearly defined before, only (east, north, and upper) contain the element of "north", so the "exchange" point can be directly defined, which is the vertex behind the dry point in the top four vertices; ”
"Xun is the wood wind, and the wood in the four elephants belongs to the east, and among the two points to be determined, only (east, south, and down) contain the element of "east", so the "Xun" point can be directly defined, which is the vertex below the dry point of the four vertices on the front; ”
"In this way, the departure point is also clear, which is the vertex to the left of the dry point of the top four vertices, that is, (west, south, up);"
Seeing this, Bai Lidu also marked the cube he had built before in his mind.
"The remaining three vertices are not only connected with the kun point, but also conform to the characteristics of the relative of the Qianqian hexagram and the kun hexagram, referring to the hexagram correspondence of the innate eight trigrams, and the opposite of the separation hexagram is the Kan hexagram, whose orientation is (east, north, and down), which is not only completely opposite to the departure point, but also just below the redemption point; The opposite of the hexagram is the Gen hexagram, whose orientation is (west, south, and down), which is not only completely opposite to the exchange point, but also just below the departure point; The opposite of the Xun hexagram is the Zhen hexagram, whose orientation is (west, north, and up), which is not only completely opposite to the Xun point, but also just above the Kun point. ”
Bai Lidu marked the remaining three points in his mind one after another, and the eight vertices of a cube were considered to have completed the annotation with Bagua, but the content of this log is not over:
According to the "earthquake" hexagram (0,0,1) and (west, north, up) we can only determine that its Z axis should represent the top, but the east-west and north-south directions cannot be determined, and then according to the mapping relationship between the (1,0,0) and (west, south, and down) of the "Gen" hexagram, we know that the X axis represents the north-south direction, and the Y axis represents the east-west direction. ”
"After the cube model in front of me was labeled, I immediately found a peculiar phenomenon, the four vertices at the top of the cube, starting from the dry point in counterclockwise order, were marked as: dry, exchange, shock, and departure, which happened to be the first four digits of the innate gossip, but the order was deviated, if it was also drawn in accordance with the order of the innate gossip of dry, exchanged, separated, and shocked, then from the dry point to the end of the earthquake point, it was exactly a downed S-shape, and similarly, the four vertices at the bottom, if it was also drawn according to the S-shape, It is exactly the order of Xun, Kan, Gen, and Kun, and it is also in line with the order logic of the innate gossip. ”
At the end of this journal, Bai Lidu also saw this text:
Finally, through the public information, it can be seen that the three hexagram points connected to the dry point, namely Xun, Li, and Dui, although they are all two yang and one yin, are identified as yin hexagrams, and although Zhen, Kan, and Gen connected to the kun point are two yin and one yang, they are identified as yin hexagrams, and the basis for this is from the relevant description in the "Zhou Yi Zhi Xia": "Yang hexagram has more yin, yin hexagram has more yang, why is it? Yang hexagram odd, yin hexagram even. What is his virtue? Yang is a gentleman and two people, and the way of a gentleman is also. Yin two kings and one people, the way of the villain." Although I have reservations about this statement, it does not hinder the results of this study. ”
After reading this log, Bai Lidu can be regarded as completely enlightened, and with this log as a reference, it will not be difficult for him to complete the architectural design of three-dimensional gossip in the future.
Then, with a swipe of his finger, he began to move on to the next post......