The Ebuc Graviton-Darkion has 14 nodal events: 9 are the outer surface ---that defines a surface of tube-- and 5 are the sine-wave nuclear set, inside the tube.
1} the first point to know, is to grasp a 3D tube ---ex toilet paper core of card board----, that can conceptually be extended and curved as a torus
----( )( ) is vertical bisection of a torus { ex a doughnut sitting on counter top } ----- however, in the long run this is a dynamic tube, i..e it undulates with places of closure { pinching off } and others that open wide, and then back to seemingly closure ex <><><><><><>
2} first a link to a visual of a triangular di-pyramid
3} 2nd a link to only one half of the above traingular based di-pryamid with one truncation, of what should be two truncations. Two such truncations gives us the basic Euclidean visual of tube that has three triangular openings and this is the basis of the Graviton-Darkion, I'm trying to present. <> or many of them as <><><><><> and they could have curved lines, i.e. were not limiting a Graviton-Darkion to be Euclidean { straight lines }.
4} in the above truncations ---as a three triangular openings--- we will find a semi-linear, or sine-wave patterned,nuclear set of five nodal events. These are 0, 3, 6, 9, 12 in the 2D lattice seen later below.
5} this is above is covered in section A further below. Before that I want cover my recent findings regarding the prime numbers found in my Graviton-Darkion particle as follows immediately below.
Ok, so the the basic structure is 15 outer surface chords as laid out as follows: 3 { end opening chords } - 3 { legnth chords } - 3 { mid-girth opening chords } - 3 { length chords - 3 { end opening chords } totals 15 chords that define the Graviton-Darkion
There are 6 primes in 14 nodal events --- 2,3 - 5 -7....11 - 13
and 24 primes in 91 lines-of-relationship ---- see this later below however, as an aside 24 is the number of power and equanimity in Synergetics ---
4 * 6 = 24 so there is a compatible of the two sets of prime numbers, but why? Typically the formula for where prime numbers fall is n * 6, plus or minus 1. Why this happens here is because 2,3 is does not fall into that forumula.
n*6
plus or minus one, is what I recall for where all primes fall except 2
and 3. Ahh, that must be it, the core grouping of 2,3-5-7 is an odd
person out varible, to the more common formula.
14 > 6 primes { 2,3 - 5-7....11-13 }
91 > 24 primes { 4 * 6 = 24 }
1}....... 2,,, 3,,, 5,,, 7.....
2} .......11, 13, 17, 19.....
3} .........23, 29, 31, 37.....
4}............41, 43, 47, 53.....
5}..............59, 61, 67, 71....
6}................73, 79, 83, 89....}
15 > lines/vectors define the base truncated di-pyramid.
.... { 2,3 - 5-7....11-13 } is same as 14 set of primes
So the core group appears for 14 nodal events and 15 primary structural chords
The Ebuc Graviton has 14 nodal events: 9 are the outer surface and 5 are the sine-wave nuclear set.
2,3-5-7, 11-13 and that is 6 prime numbers within 14 nodal events.
As
for prime numbers with 91 lines-of-relationshipe, we have, 6 sets of
four prime numbers beginning with the core sets of 2-3-5-7 ergo, 24
prime numbers with 91 lines-of-realtionship
2, 3, 5, 7,
11, 13, 17, 19
23, 29, 31, 37,
41, 43, 47, 53,
59, 61, 67, 71,
73, 79, 83, 89,
---------------------------------------------------------------------------------------
Section A follows:
Below is the asymmetrical, 2D lattice, that, I came to create, via my inside outing of a symmetrical numericallly linear set of numbers, beginning with 0. The original symmetrical pattern is not shown below, on the inside-outed asymmetrical set.
14 nodal events is needed in the2D lattice total, to have
a tube, that, is defined by three triangular opening aka
A triangular based, truncated di-pyramid. This also happens to
be the minimal set of triangular openings that will define a
Euclidean torus
14^2 = 196, minus 14
= 182, and divided by 2 = 91 lines-of-relationship in sum-total
equal a Graviton-Darkion, that, I believe is half Darkion { Dark Energy
)( negative quantum } and half Graviton { ( ) as positive quantum
curvature }. Here is link for the math formula of lines-of-relationship
Previously we only
consider the sequential set of nodal events ratios
and lines-of-relationships ratio.
To total of nodal
events does not change. What does change is the finding the sum-total
of relationships for each specified set, and the overall sum total
lines-of-relationship using the formula n^2 minus n then divided by
2 As found at this Synergetics LINK
......1.............................5p...........7p............................11p.............13p...........G{ outer }....................
-
-
0..............................................6.................................................12..................Observable
Time inside
---Bucky Fullers-------abstract
great circle----central spine inside center the 3D torodial
tube---------------
........................3p............................................9.................................................Observable
Time inside
-
-
.................2p............4................................8...........10..........................................DE
{ inner }..............
For top line G:
5^2 = 25, minus 5 = 20, and divided by 2 = 10 total
lines-of-relationship
For top inside line OT: 3^2 = 9, minus 3 = 6 and divided by 2 = 3 total
lines-of-relationship
For bottom inside
line OT: 2^2 = 4, minus 2 = 1, divided by 2 = 0.5
which in this case translates to 0.5 radii plus 0.5 radii = 1
line-of-relationship
...note: I use the
word 'radii' because of a consideration, that, each nodal event has a
2D area circle of influence, or in 3D, a volumetric sphere of
influence....
For bottom inner
line DE: 4^2 = 16, minus 4 = 12, divided by 2 = 6
total lines of relationship { same as a tetra{4{hedron
-----------------------------------------------------------------------------------------------------------------------------------
So that is each line
as a catagory: Gravity { 10 lines-of-relationship }
and that semi-corresponds to my 1990’s Standard Model as:
EMRadiation { photonic particles } being the 5-fold 10 Great
Circles/Tori of the icosa{20}hedron ---they define 5 sets of interlacing
VE/cubo-octahedra. See LINK
And next I want to
combine the two inside lines, as a single catagory of a sine-wave
0\3p/6\9/12 pattern aka OT + OT: since we've joined two combined two lines, lets take the total nodal
points of those two lines{ 5 } and do the math for them: 5^5 = 25,
minus 5 = 20, divided by 2 = 10 lines-of-relationship and that value
matchs Gravity's 10, tho it takes two lines to do so.
Here we could
say that Gravity is equally effective to OT,
yet with only one line of consideration, not two.
And next were going
to combine outer surface { top G } nodal events { 5 } with the inner
DE { 4 } set of surface nodal events and that totals 9 do the
math again: 9^2 = 81, minus 9 = 72, divided by 2 = 36
lines-of-relationship. H,mm, interesting that in this case, our
total from combination of top and bottom line as 9 is a greater total
lines-of-relationship, than the combination of the top and bottom
lines additionally i.e. 10 + 6 = 16 but with 9 nodal events our total
lines-of-relationship is 36.
As best I recall,
there is exponential increase in lines-of-relationship resultants,
and doing them individual and then adding does not appear to be the
same level of exponentiation. I dont see any flaws in my math
above and tho Fuller never referred to the expoential increase as form
of synergy, I wonder if could be labeled that way. I'm not
smart enough to make such distinctions.
However, one thing
i'm good at and that is making associations, and just the outer and
innner set as 36 happens to be the number combinations of quarks ( 18
quarks and 18 anti quarks }.
So lets do one final
math and that is the total 13 nodal events as a single graviton
{ small g }: 5 G , + 3 OT + 2 OT 4DE = 14 nodal events.
...Note: 24 is the
number for VE ---labeled as equinimity--- i.e. 24 chords and 24 radii
when VE constructed from 4 paper hexagons...... =
14^2 = 196,
minus 14 = 182, and divided by 2 = 91 lines-of-relationship in
sum-total..i..e. .n^2 minus n and divided by 2 defines the
small g graviton, Who would have thought the most
simple particle of Universe, could be so complex. Oh but wait.
That value includes the small d, darkion of Dark Energy. This may be significant to point out,
that, Gravity { mass-attraction } and Dark Energy { mass-repulsion }
are two sides { outer and inner } of the same gravitonic
particle { <I> } of occupied space /\ and time
<-->
.....1.............................5p...........7p............................11p.............13p...........G{ outer }....................
-
-
0..............................................6.................................................12..................Observable
Time inside
-------Fullers-------abstract
great circle--------central spine inside center of 3D torodial
tube-------------------------------
........................3p............................................9.................................................Observable
Time inside
-
-
.................2p............4................................8...........10..........................................DE
{ inner }..............
