Ternary figures on the Grid...

[Anibis]

Hi there. I've sort of retreated from posting for a while, since I have felt the need to solidify my groundwork before I jump back into the fray. This has meant lots of memory work, as well as working through and thinking about some of the rather dense threads here. One issue I have come up with in approaching the THC is the allocation of the Quadragrams etc to the Lo Shu. In dealing with the usual method, the 3x3 Kamea assigned to Saturn, this is quite a simple task, but for my purposes, it makes more sense to work with the triangular Lo Shu associated with Tetractys and the Abrahadabra grid. This being said, I wonder if there is any preferred arrangement of the numbers 1-9 into these triangular chambers. A few methods jumped to mind. The strongest seems to be 1,2,& 3 in the outer upward facing triads, 2, 3, & 4, in the inner upward facing triads, and 7, 8, & 9, in the inner downward facing triads. THis will probably require some graphics to properly illustrate it. I'll see what I can do. Until then, What I wonder is if anyone here has found a way of numbering these 9 spaces which would work like a magic square, in the same way the the points of the tetractys have been ordered in the case of the twinstar. Ideas?
-ibisis-

[m1thr0s]

I have not really come up with any one arrangement of bigrams to chambers within the triangle that seems to be especially remarkable in any way though I have looked at numerous possibilities. I have at length settled on one that seems to be the best arrangement overall but I still fail to feel particularly inspired by it. In part this is probably due to what seems to be a conflict of interest both mathematical and graphical, but this doesn't mean it can't be done. My best guess is that anything you come up with would tend to be task-specific and would only really make any particular sense in reference to that immediate application. There doesn't seem to be any one-size-fits-all sort of standard, though it is possible that I have just failed to see it for some reason.

edit: you might want to take a look at this. It doesn't solve your problem but it may offer a few peripheral insights. It's called the Durga Triangle and there are actually several versions of it about but this one seems to have gained prominence over the others for whatever reason:

http://abrahadabra.com/images/durgatriangle.gif (http://www.luckymojo.com/durgatriangle.html)

m1thr0s

[Apopheros]

I'll try this serie as a gradient of probabilities for my few next hypothesis.
Any other thoughts as to how to recognise a gradient in the grid ?
http://en.wikipedia.org/wiki/Gradient
:yinyang:



What do you think?