Man in the Image og God

Quote:
Originally Posted by Ahknaton
Okay, now to relate this to the Enneagram:



(The above image is from http://www.gurdjieff-internet.com/, a site I just found today).

The 3-6-9 and 1-4-2-8-5-7 groups are found by dividing unity by 3 (and taking multiples) and 7, respectively.

i.e.

1 / 3 = 0.3333333333.... recurring
* 2 = 0.6666666666.... recurring
* 3 = 0.9999999999.... recurring (which actually equals unity)

and

1 / 7 = 0.142857142857142857142857142857.... recurring

Both of these are divisions. Suppose we apply the principle of "as within, so without" and invert the division operations - by analogy to inversion about a unit circle, but in 1 dimension - can we find rules of multiplication (i.e. the inverse of division) and/or exponention that yield the same groups? Obviously 3/1 and 7/1 just resolve to 3 x 1 and 7 x 1, so it's not a matter of a simple reflection. But after playing around for a bit with Windows Calculator, a few patterns become apparent:

For example, the 6-9-3 grouping can be found by multiplying 9s by 7:

9 * 7 = 63
99 * 7 = 693
999 * 7 = 6993
9999 * 7 = 69993
99999 * 7 = 699993

and so on.

Finding the 1-4-2-8-5-7 group proved a bit harder, but it is possible, using powers of 2. As you ascend through the powers of 2, the fadic sum of the power of 2 multiplied by 7 cycles through 7-5-1-2-4-8:

Powers of 2:

1 (2 to the power of zero)
2
4
8
16
32
64
128
256
512
1024
2048
4096
8192
16384
32768
65536
131072
262144

Powers of 2 multiplied by 7:

7
14
28
56
112
224
448
896
1792
3584
7168
14336
28672
57344
114688
229376
458752
917504
1835008

Fadic sum of powers of 2 multiplied by 7:


7 : 7
14 : 1 + 4 = 5
28 : 2 + 8 = 10 : 1 + 0 = 1
56 : 5 + 6 = 11 : 1 + 1 = 2
112 : 1 + 1 + 2 = 4
224 : 2 + 2 + 4 = 8
448 : 4 + 4 + 8 = 16 : 1 + 6 = 7
896 : 8 + 9 + 6 = 23 : 2 + 3 = 5
1792 : 1 + 7 + 9 + 2 = 19 : 1 + 9 = 10 : 1 + 0 = 1
3584 : 3 + 5 + 8 + 4 = 20 : 2 + 0 = 2
7168 : 7 + 1 + 6 + 8 = 22 : 2 + 2 = 4
14336 : 1 + 4 + 3 + 3 + 6 = 17 : 1 + 7 = 8
28672 : 2 + 8 + 6 + 7 + 2 = 25 : 2 + 5 = 7
57344 : 5 + 7 + 3 + 4 + 4 = 23 : 2 + 3 = 5
114688 : 1 + 1 + 4 + 6 + 8 + 8 = 28 : 2 + 8 = 10 : 1 + 0 = 1
229376 : 2 + 2 + 9 + 3 + 7 + 6 = 29 : 2 + 9 = 11 : 1 + 1 = 2
458752 : 4 + 5 + 8 + 7 + 5 + 2 = 31 : 3 + 1 = 4
917504 : 9 + 1 + 7 + 5 + 0 + 4 = 26 : 2 + 6 = 8
1835008 : 1 + 8 + 3 + 5 + 0 + 0 + 8 = 25 : 2 + 5 = 7

If we think of a fractal that has a scale factor of 2 and an initial size of 7 (e.g. an IFS with 7 unit circles as the seed, such as the Metatron Koch IFS), then the total size at each level of the fractal up the scale will follow the 7-5-1-4-8-2 cycle.

Another cool thing is that the powers of 2 multiplied by 7 are

7 14 28 56 112 224 448...

so the 7-1-4-2-8-5 sequence crops up again This second one doesn't cycle like the fadic addition example, but the ordering is the same as the 1-4-2-8-5-7 repeating cycle if you start from 7 instead of 1.


Unbelievably useful. I think this can be put together into a Model of The Universe.

I'm going to pm you about the primary metaphysical lines I already see can be drawn through the geometrized digits themselves as if THEY were triadic names of: I. ordinal (asymmetrical summation), 2. cardinal (point-set), 3. geometrized in TokenSpace*.

I have to ask that the 6-pointed asterisks be imagined here as 8-pointed, which is not on this keyboard.

The idea is to use the 8 directions of the two crossed X's as the points on the square, not shown in the Enneagram. It is our little key to its portal, the mid-point between the circle of the same and the circle of the different, through which ordinary language representation, such as this, in words, is transposed (formulated: text, with formalized syntactical metalanguage for cognitive content verified through the 5 senses; tokens, by templates crystalized condensations.) Thus, by an act of psychosemiotic bravado, we imagine the vertices of a cube around the 9-section circle, with inner triad connecting points 9 - 3 - 6, and inner lines (as shown) connecting the triads
1-4-2 8-5-7 on the rim, in the order of digits 7/1. (Did you notice the oddity that in the fadic sums of powers of 2 x 7, the repetition is 142875 rather than 8 -5 -7 called for by the Enneagram -- until the last "summary terminus reversals", reading on the last right-side digits:
4 - 8 5 = 7 . Something curiously satisfyinga about that, almost like the resolution of a chord. After 19 repetitions! -- its like a certain process reached its end and turned back on itself.

This is the geometry of "man created in the image of God" in G.s system. The "evoluting", or emanating* process outward in three waves from the Holy Sun Absolute ramifies into: Etherokrilno -- what is left if all matter-energy is taken away; Omnipresent Okadonokh -- ramifying each of the three First Ramified forces further; Materiality, ramifying the 9 results further by the same triad of forces.

In respect to us, the '4th' of this last of the three waves of emanation, we are a product of the 'involuting process' ('balling up") of the essence of the Holy Sun Absolute after traversing the successive stages and "curling back into an image of itself" (though only a half completed totality, 'seeking' completion through an other* outside itself'). This is the mode of existence of the "three brain beings breeding on planet earth"

What one learns over at the Gurdjieff site (been thinking of contacting; want to?) is that he interpretated the corners of the inner triad as "foods" conveying the Shocks of energy from the three coreelated planetary arisings: vegetable (one-brain), animal (two-brain), human (three brain). Digestion of solids (stomach), liquids (blood), air (lungs) are the three mechanical transformations provided by Great Nature for completion of the human totality. Through the head, three senses localized in pairs (ears, eys, nostrils); one sense (taste) for intake of solid and liquid foods; the fifth, skin surfaces where "hot spots" excite imperative (motility=cathecting, with karma -- but lets not get into that) brain states. (also leave aside the
6th sense)

"Why?", I ask rhetorically, "should it happen that the three forces coinciding on planet earth -- soil, water, atmosphere -- coincide with the source of the three being foods required for sustaining human being existence and with its major three systems of organs for interchange of substances?" -- unless all are part and parcel of the same lawful process. (This is compatible with some versions of "creationism", but fundamentally different from naive 'monotheism'.)

The (7-in-8; "*" => new use for the sign of multiplication, 'times' (for 'times; and half-a-time' -- but not time for that here either).)

The asterisk in the center of the circles triangle/ tetrahedron -- connecting its vertices to a matching tetrahedron looking back in 3-dimersional tokenspace (imaginary, but coordinated point-for-point) "from the other side of the two-way nose bridge. This would be two cubes, or two eyes seening each other from opposite sides of the merkabah. Within these cubes, matching and looping in Tokenspace* through entirely separate, ndependently arising conscious totalities*, with entirely separate and independently functioning centers of perception, memory, thought, feeling and historical experience, there is herein constructed this Open Third Eye into the Cosmos..

(I was told by my Native American friend, Shawnee to say, quote "love you inversions". That's it. I'm going to get those passages together -- there are several 49's, 263's even a 444.)