A simple equilateral triangle (a, b, c), the geometrical interpreter G3 group, allows to symbolize the 4 types of particles and antiparticles elementary which constitute the matter and the antimatter: quark, antiquark, electron and neutrino.

Symmetrically, the antimatter is symbolized, its only difference with the matter being its opposite direction of rotation: (a, c, b) instead of (a, b, c)

In the center of the triangle the photon, holder punctiform (cf Abstract) of the 3 charges of color of chromodynamic quantum, simulates a mini-Big Bang by sending them, by its 3 arrows, at the 3 tops of the triangle where they are noted a: red, b: yellow, C: blue.

1 charge	2 charges	3 charges	0 charge
1 quark	1 antiquark	1 electron	1 neutrino

So that these diagrams, and perhaps the lines which precede, are comprehensible, it is necessary to justify the assumption according to which the electron, currently considered as white, would be carrying the 3 charges of color.

A white electron is an intruder in a coloured family where its place with 3 colors would be logically after the particles at 1 and 2 colors, the quarks and the antiquarks. If it appears white, it is because this one is the resultant of the rotation of its 3 primary colours. Similar process for the antiquark whose color is the resultant of the rotations of 2 colors.

Surprising observation: if the electron were tricolour, all the particles of its family would be, mathematically, her subsets and it would appear in their classification, because any unit is subset of itself.

Indeed, that is to say the together (a, b, c), the electron, in which the 3 letters are the 3 charges of color. Its 8 subsets are:
(a) (b) (c) (ab) (bc) (ca) (a, b, c) Ø
which correspond respectively: the three quarks, the 3 antiquarks, the electron and the neutrino "free" of color.

In the antimatter, (b) and (c) permute, which reverses the direction of rotation of the triangle which does not turn any more in the direction (a, b, c), but in the direction (a, c, b).

All the elements of the triangle (a, c, b) thus turn in opposite direction of those of the triangle (a, b, c), of which they are the antiparticles. For example the antielectron, the positon, and the electron turn in direction opposite, and the experiment showed that, if they met themselve, their rotations cancelled and they were transformed into photons, 2 gamma rays.

This couple matter-antimatter trains, on two lines, the first family of the Table recapitulating the 48 particles and elementary antiparticles, it is linked by its invariant: (a), the red quark, located at the head of each the first 2 line.

At the lower part, on the 4 following lines, are located, in the order and on the same model, the two families whose invariants are: (b) and (c), the yellow quark and the blue quark.

With the origin of the table, one can see the original photon transforming a part of his matter energy and antimatterby the 6 arrows which create the 3 particles and the 3 antiparticles: e+e -, µ+µ-, t+t-, origins of their 48 subsets. But by which process ?

For the knowledge, it is necessary to refer to the 4 small triangles schematized higher. The first, on the left carries only one color, red, this is a quark. But there could also be at this top a yellow quark or a blue quark since they are the 3 colors of chromodynamic quantum. There are thus 3 matter quarks.

In the triangle in opposite rotation, there would be the same quarks at the top, but negative. There are thus 3 matter quarks and 3 quarks of antimatter in the first family. And so there are 3 families, there are 9 matter quarks and 9 quarks of antimatter in the table.

The second small triangle carries two charges of color which amalgamate by rotation, it is an antiquark, the complement of the quark with which it reconstitutes the set. There is thus as much of antiquarks that quarks, so because it exists 3 families, 9 matter antiquarks and antiquarks of antimatter.

The third small triangle symbolizes the electron with its 3 charges, and there is thus only one electron of antimatter: the positon.

The fourth triangle symbolizes the neutrino which, without charge of color, is thus the complement of the electron to constitute the set. Its reverse in the antimatter is the antineutrino.

How the electron and its counterparts can they create their subsets?

According to astrophysicists, in the paramount soup, brewed by the colossal heat of the Big-bang, any particle could be transformed into very other.

The 4 triangles make it possible to visualize, roughly, the phenomenon. The conversion energy of this heat made turn the triangles at a speed such as the centrifugal force could expel one two or three charges of the triangle which could recover one two or three of them when the temperature dropped.

For example, an electron which lost 2 charges became a quark. In extreme cases, as the supposed astrophysicists, perhaps, at the beginning, all the particles were quarks.

During its rotation the quark, represented by the triangle carrying of a charge color, has an electric charge of a third; If it becomes antiquark with two charges of color, the electric charge passes to two thirds, finally with three, the electric charge passes to three thirds, it means to the whole charge of the electron.

The electric charge is thus the charge of color in rotation, its unit is the charge of the quark which carries 1 charge and not that of the electron which carries 3.

nota: the original text is in french