Search for patterns in the Book of Changes based on a combination of the principles of binary coding and numerology.
After reading A. Sklyarov's article "The Computer of Ancient China" I wanted to try my hand at finding the regularity of the location of the numbers of hexagrams in the table of the Book of Changes.
The task can be formulated as follows: to determine a pattern means to determine why the number of this particular hexagram is in the cell with the XY coordinate. Or why the hexagram in cell XY is assigned exactly this number.
In the process of trying to find a pattern, the idea came to approach the solution of the problem from the point of view of numerology. It is known that numerology assigns certain properties to numbers and numbers. Accordingly, the meaning and meaning of any event are expressed through the properties of numbers and numbers associated with this event. Moreover, it is not only the numbers themselves that matter, but also the order in which they appear in the number consisting of them. Let's say the number 9, obtained from the number 63 as 6 + 3, differs in properties from that obtained from the number 72 as 7 + 2.
Each hexagram has a code (number) determined by the coordinates of its cell XY (the code is determined by the method from the article by A. Sklyarov). This code defines the numerological meaning of the hexagram. The numbering of hexagrams determines the course of events by establishing a sequence of changes in the numerological meanings of hexagrams. In this case, the arrangement of the numbers of hexagrams in the table of the Book of Changes gives us a general view of the course of events in the sequence in which the compiler determined it, based on his worldview.
Moreover, it is possible that odd numbers set the course of yin development, and even yang (or vice versa). Those. two sequences of numerological codes can be considered: odd 0-29-5-47-4-7 … and even 63-46-40-61-8 … This idea is suggested by the fact that pairs of hexagrams are formed by counter reading, which can symbolize the struggle opposites (yin and yang), but their unity is that in this way of formation they are uniquely connected with each other and form a pair.
To test the hypothesis, you need to determine the numerological values of the codes for each hexagram (according to the rules of Chinese numerology) and compare with those interpretations given by the Book of Changes. Perhaps they will match! Moreover, one should expect that this value will be, as it were, mirrored for a pair of numbers. It is quite possible that in numerological calculations it is necessary to take the values of the codes and carry out calculations in the octal number system, since cell coordinates go from 0 to 7, and using octal numbers seems more natural. The number of the hexagram can be taken in any number system, since it only specifies the order in which they appear. Unfortunately, my knowledge of numerology does not allow such a check. Maybe experts in this field would like to try their hand?
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As a small experiment, I took the codes for each pair of hexagrams and added them, then added the digits of the resulting numbers. Those. for a pair of hexagrams 3-4 we get 29 + 46 = 75 => 7 + 5 = 12 => 1 + 2 = 3, etc.
Further, instead of the hexagram number, I substituted the resulting sum in the table of hexagrams for each pair. And this is what happened (see Tables 1, 2).
Table 1:
In table 1, small print shows the numbers of hexagrams, large - the sum of codes of the corresponding pairs of hexagrams. Pairs of hexagrams are highlighted in gray, formed by inverting their codes, i.e. substitutions in binary code 1 by 0 and vice versa.
Table 2:
Interestingly, in table 2, the sum of the numbers in any row or column, as well as along one diagonal, is the same and equals 54, and 5 + 4 = 9. On the other diagonal, there are only nines. In addition, the large square is divided into four smaller ones with diagonals of triples, sixes and nines.
Unfortunately, these tables are not related to the order of numbers of hexagrams, but are obtained only due to the way in which pairs of hexagrams are formed (reverse reading and inversion), since when constructing them, the numerical value of the hexagram number was not used. That is, if you arrange the numbers of hexagrams in a different order, while maintaining the method of forming their pairs, then these tables will not change.
OLEG TREBUKHOV