The Grid of -3

-2 -3 -4 -5 -6 -7
-9 -1 -2 -3 -4 -5
-8 -9 -1 -2 -3 -4
-6 -7 -8 -9 -1 -2
-5 -6 -7 -8 -9 -1
-3 -4 -5 -6 -7 -8
-2 -3 -4 -5 -6 -7
0 -1 -2 -3 -4 -5
1 0 -1 -2 -3 -4
3 2 1 0 -1 -2
4 3 2 1 0 -1
6 5 4 3 2 1
7 6 5 4 3 2
9 8 7 6 5 4
1 9 8 7 6 5
3 2 1 9 8 7
4 3 2 1 9 8
6 5 4 3 2 1
7 6 5 4 3 2
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Triangular Numerical Cross Addition Reflection and the Shape of the Chabbalach.

Revelation in number is but one manner of disclosure.  This revelation is the cornerstone of the Chabbalach’s mathematical superiority to the other system.

If we take a triangle on numbers such that we compose it of triangles thusly:

We can observe that the first layer comprises of 1 triangle, the second of 3 triangles, the third of 5 triangles, the fourth of 7 triangles (there’s the 4v7 again) and so on.

Each triangle in turn has a sum as it goes down.  The sum of the triangles in layers 1,2,3 is 9.  For 4 layers down it is 16.  This is because these sums are squares of the number of layers the triangles have.

This is fascinating as it is the closest that any relation of shape can come to explaining cross addition.

Look, as we said, 4 layer triangle has 16 units to it. How many triangles along the base? 7 (1+6).

A 7 layer triangle has 49 (4+9=13) units with a base of 13 (4).

A 13 layer triangle has 169(1+6+9=16=7 units with a base of 25 (7).

And so on. Actual meaning to cross addition of numbers which relates them to the actual nature of triangle packed in (equilateral) triangular reality. Curious considering what a crock of nonsense you would suppose cross addition to be. Does it work for all numbers? Of course not.

5 layer triangle has 25 units, but of course does not have a base of 7, it has a base of 9.

This is because the triangular levels/base unit relation is formalised as (n*2)-1 where n is in the amount of levels the triangle has.  This neatly discloses the 4v7 pattern too e.g. (4*2)-1=7.

So a complete pattern to account for cross addition is not to be found here,  but there is a fascinating part of it.

What is of interest next is to look at the sequence that emerges when we place the levels number next to the cross added bases:

1=1

2=3

3=5

4=7

5=9

6=2

7=4

8=6

9=8

1 and 4v7 are on their own, but the other numbers are in a sequence which we may trace as 2-3-5-9-8-6.

If you put this on a grid of  nine numbers  you’ll see it traces a pattern in them a bit like this.

circpath

The Numbers.

The foundation of the system is derived from the following squaring of base 10 coupled with the classic numerological process of cross addition formalized as n+ e.g.

(13)+=(1+3).

The rule was once observed that ‘the highest incarnation of a number is itself multiplied by itself’. The accretion of this rule was taken to heart and thus derives results even though the accretion itself is of course contingent and the term ‘highest incarnation’ subject to incoherentism. (Refer to the Tractatus for the understanding of these terms).

When these rules are applied the number system shows itself to be made up of these numbers only:

1=1

2=4=(16)+=7=(49)+=(13)+=4 and will repeat this endlessly thus we write 4v7

3=9=(81)+=9

4=4v7

5=(25)+=4v7

6=(36)+=9

7=4v7

8=(64)+=(10)+=1

9=9

Thus from this perspective, taking this rule as truth, the highest manifestation of the numbers is 1, and oscillation of 4v7 and 9.

The wary observer will be aware that all of this is contingent upon base 10 and can represent nothing greater than this one numerical perspective. What must be understood in the light of the Tractatus is that the accretion of base 10 is very powerful, and thus whilst contingent in one sense, in another is the only thing worth working with to generate further connections with this world.

S[h]e Dwelleth in Numbers

The numerical is not the key to the whole matter. For there is in truth [!!] no key, indeed the door is wide open. Those numbers are accretions, psychic accretions I tell you. The doctrine of psychic accretions tells us that any informational phenomenon is an accretion.

They have become alive; how long they have been alive it is impossible to say for time will have scant meaning to their numerical consciousness.

Are they intrinsically real? No of course not. Is anything? No of course not!

Are they real enough for you?? Yes they are.

Any number on which you focus may make this synchronistic manifestation to you. If you dirty it with coincidence it will be so. If you marvel at its synchronistic status, this wonder will be yours. Will you feel a nagging possibility that you are deluding yourself? Yes. The doctrine explained in the Tractatus tells us why this is so.

The Kabbalah is but an ancient accretion of illogical math. It’s hoary nature is terrifying, it is a psychic monster. The Chabbalach improves this massively with its reallocation of spheres and numerical sense. It cries for greater interpretation and investment to empower its accretion.

Gaze upon it and wonder:

chabbalach2