Disquietude not Disquit-ude
1} 8 color charges that sum to neutral colorless Glueball of pure energy
...' Physical gluons are not eigenstates of a single definite colour and cannot be assigned a single “colour” like a quark; each gluon is a superposition of colour–anticolour pairs as shown. '..
https://www.quora.com/What-are-the-eight-gluons-with-name-and-colour
Go back to topic thread and specifically my consideration the pure energy --i.e.bosonic force gluons only--- give mass to itself, as 15 vertexes associated with 8 vertexs of a cube --that are shared with two tetra{4}hedron sharing 8 the same 8 vertexes/hubs, ergo vertexes with at least 6 non planar connectiion and,
six seeming planar hexagonal connecte dvertexial hubs, and,
one volumetric center vertex/hub, with 8 connections to that hub.
8 + 6 + 1 = 15 vertexial hubs and the formula for find the lines of relationships to all 15 vertexial hubs is:
15^2 = 225, minus 15 = 210, divided by 2 = 105 Vibrating Relationships Pattern.
So my original idea was that the 8 corners { vertexes of the cube } would be associated with the8 color charges that sum to neutral colorless Glueball of pure energy . However, 8 vertexes alone, lead to 28 lines of relationship, not 8. If I am looking for polyhedron with only 8 total lines of relationship Ive not found it.
The closet way ive come, to have total of 8 lines of relationship, is to begin with 4.5 vertexes ie. 4.5^2 = 20.25, minus 4.5 = 15.75, divided by 2 = 7.875, is not a whole rational number 8.
A tetrahedron has 4 vertexes not 4.5 vertexes. And this is the minimal polyhedron of Universe.
...' Physical gluons are not eigenstates of a single definite colour and cannot be assigned a single “colour” like a quark; each gluon is a superposition of colour–anticolour pairs as shown. '..
So, it appears to me, that, we cannot begin with a whole rational number, then use the lines of relationship formula to arrive with a whole rational 8 resultant.
Going back to what I believe is the minimal, fundamental Field Pattern of Universe, I review, and look for another pathway to at whole rational 8 resultant, or,
...I attempt to consider what Vibrating Field Pattern --or cobinations thereof-- would create a Gluball...........
.More from the Reddit site above....' Gluons do not have specific names, they are simply called Gluons and their charges are what is listed. When examined the charge is one of 6 - red anti blue, red anti green, blue anti red, blue anti green, green anti red, green anti blue. You also have 3 that do not have charge - red anti red, blue anti blue and green anti green.
But this is not how they are “in the wild” so to speak - i.e. before examining them, they are superpositions so red anti blue and blue anti red are in a superposition with 50/50 chance of being either when examined as indicated and so there are 8 different gluons when not examined. '...
...' Think about that: If the gluons have color charge… it means they can interact with each other by emitting even more gluons! Yech! It’s this kind of obnoxious behavior that makes modeling the inside of a proton or neutron so exceptionally messy and computationally costly.
When folks say gluons are “bicolored”, it’s usually this group of vibration modes that they are referring to, since it is the one in which the colors are explicit and able to interact with other gluons.
But some caution should be applied here, because really, all of the gluons are bicolored, because all of them vibrate between two distinct charge points.
But the kicker that I like is that if you want to be fully consistent, photons also carry two charges, just like gluons! The two charges of the photon are always positive and negative, in equal proportions, so the net charge of a photon is always zero. But it is the very fact that the photon “carries” the ability to create displacement charges in space that enables it to interact with charged particles like electrons, so the distinction is important.
One final addendum: You have likely heard there are only eight gluons. So why did I just show images of nine vibration modes?
One reason why I’ve been careful to say “gluon vibration modes” instead of just “gluons” is that even though the nine vibration modes I just showed are very much part of the Standard Model, there is a special combination of them that is suppressed in that same model. If you think of a bell whose ringing is stilled if you touch it at just the right point, that is pretty much the situation.
You may have heard that suppression of one of the gluon vibration modes — that is, the reason why there are 8 gluons instead of 9 — is a mathematical outcome of the matrix-math symmetry called SU(3) that is used to describe the strong force. While this is technically true, it was the experimental absence of one conspicuously obvious gluon vibration mode that drove the use of such models in the first place.
So just what is this troublesome, strangely non-existent vibration mode? It’s the equal sum of all three color types. Here’s what it would look like if it was not suppressed:

.... This “white-antiwhite” vibration mode nominally should correspond to a robust gluon that sums together the amplitudes of all three of the colors, as shown by the cubes in the figure that calculate the simple vector sums of both the positive and negative color triplets. If no one knew otherwise, the obvious expectation would be that this would be one of the more robust vibration modes possible with color charges.
....The difficulty is that a colorless gluon would be a gluon that is not bound to the color charges that are found only on quarks. It would mean, for example, that a bare proton sitting on one side of your office would be able to exert a nuclear force on a proton on the other side of your office. Due to the strength of the nuclear force, this colorless nuclear force would cause an experimentally detectable repulsion or attraction between just those two protons, even at that distance. Since the nuclear force is instead seen only scales in the vicinity of 10−15m, something is clearly wrong with that scenario!
..Thus the Standard Model instead uses SU(3), which starts with exactly the same nine gluon vibration modes I just described, but then does some fancy (and rather cryptic) footwork to replace them with eight complicated matrix mixes of the simpler set. These eight new gluons, which studiously avoid the “hole” in the middle of color space, can all be added as if they were orthogonal units, making the resulting space effectively 8-dimensional and pretty hard to visualize. Nonetheless, if you just look at the last figure and sort of imagine that anything too near vertical gets squashed flat, that gives a pretty good first approximation of how this one vibration mode ends up suppressed.
.....This is not the end of this story, though, as there are some additional fascinating twists. Those are for some other answer, though.'....
Yikes, as always this stuff is so over my head! Ive never understood how the math calls for nine gluons when only 8 gluons are manifest.
AHA! So I just had a new idea and put in the new following post. And it has to do with the 9th non-nuclear vertexial event.