Kain
08-22-2006, 08:07 PM
Well, as the system of Nuclear Hexagrams is an exceptionally uselful and elegant way to analyze, research and experiment on the behavior of the 64 binary Hexagrams, I felt it would be useful to set up some foundations on this system for the benefit of the members unfamiliar with it, so that they can come to an easier understanding of it's properties.
m1thr0s nicely described in another thread the general rule through which nuclear hexagrams can be created:For the benefit of those unfamiliar with the *nuclear hexagrams* system, this is a way of identifying the underscoring momentum inherent in every hexagram. Like a snake shedding its skin, this is achieved by subtracting the top and bottom lines and then creating a new hexagram comprised of the top 3 lines placed over the bottom three lines like this:
http://abrahadabra.com/images/nuclears01.gif
It turns out that when you do this for all the hexagrams, an interesting pattern emerges. By continuing the process of creating and recreating nuclears until no more can be created, we finally arrive at 3 Classes of hexagrams which are finally self-resolving. 6 Yin lines will always resolve into another set of 6 Yin lines, just as 6 Yang lines will always resolve into 6 Yang lines, while the third set is a little different. Traditionally called Hexagram #63 (After Completion) will always resolve into Hexagram #64 (Before Completion) which will again resolve back into Hexagram #63 and so on ad infinitum.
Now, this process brings us to the identification of certain tiers within the system of nuclear hexagrams. By re-running the process we went through in the previous quote in a backward fashion, we can see that each of the 4 hexagrams #1, #2, #63 and #64 contain/serve as the underscoring momentum of a group of 3 hexagrams, and each of them do the same for a subsequent set of 4 hexagrams. Even though there is no set graphical representation/arrangement for this system (at least none that I know of), I have recently built one for the benefit of better understanding through visual feedback:
http://img.photobucket.com/albums/v249/Goyios/Forum%20stuff/nuclearhexforum.gif
It is interesting to note the way hexagrams arrange themselves through this process. It also helps to see the energy "movements/lines/connections" the arrangement suggests. This can be done by utilizing all the traditional methodologies of researching the I Ching, such as noting the general position of each hexagram's mutational counterpart, Inverse hexagram, elemental attributions and relationships etc.
In this particular arrangement it is particularly interesting to note that, through charting the routes of mutational counterparts, we see that all mutational maneuvers revolve around a central, vertical, yet "binary invisible" axis, with the two complementary hexagrams residing on either side of it, at equal distances and serving as opposite poles. There are other things to be noted as well, and such hexagrammal charts can turn exceptionally internally complex, but I think it is good for the basics of the system to be stated.
Kain
m1thr0s nicely described in another thread the general rule through which nuclear hexagrams can be created:For the benefit of those unfamiliar with the *nuclear hexagrams* system, this is a way of identifying the underscoring momentum inherent in every hexagram. Like a snake shedding its skin, this is achieved by subtracting the top and bottom lines and then creating a new hexagram comprised of the top 3 lines placed over the bottom three lines like this:
http://abrahadabra.com/images/nuclears01.gif
It turns out that when you do this for all the hexagrams, an interesting pattern emerges. By continuing the process of creating and recreating nuclears until no more can be created, we finally arrive at 3 Classes of hexagrams which are finally self-resolving. 6 Yin lines will always resolve into another set of 6 Yin lines, just as 6 Yang lines will always resolve into 6 Yang lines, while the third set is a little different. Traditionally called Hexagram #63 (After Completion) will always resolve into Hexagram #64 (Before Completion) which will again resolve back into Hexagram #63 and so on ad infinitum.
Now, this process brings us to the identification of certain tiers within the system of nuclear hexagrams. By re-running the process we went through in the previous quote in a backward fashion, we can see that each of the 4 hexagrams #1, #2, #63 and #64 contain/serve as the underscoring momentum of a group of 3 hexagrams, and each of them do the same for a subsequent set of 4 hexagrams. Even though there is no set graphical representation/arrangement for this system (at least none that I know of), I have recently built one for the benefit of better understanding through visual feedback:
http://img.photobucket.com/albums/v249/Goyios/Forum%20stuff/nuclearhexforum.gif
It is interesting to note the way hexagrams arrange themselves through this process. It also helps to see the energy "movements/lines/connections" the arrangement suggests. This can be done by utilizing all the traditional methodologies of researching the I Ching, such as noting the general position of each hexagram's mutational counterpart, Inverse hexagram, elemental attributions and relationships etc.
In this particular arrangement it is particularly interesting to note that, through charting the routes of mutational counterparts, we see that all mutational maneuvers revolve around a central, vertical, yet "binary invisible" axis, with the two complementary hexagrams residing on either side of it, at equal distances and serving as opposite poles. There are other things to be noted as well, and such hexagrammal charts can turn exceptionally internally complex, but I think it is good for the basics of the system to be stated.
Kain