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The groups of symmetry of regular polyhedra are considered. It is shown that a total number and types of gauge bosons in the Grand Unified Theory with the group SU(5) can be deduced from the structure of the cube rotation group. Possible connections of fundamental fermions with the icosahedral symmetry are discussed.
Context in source publication
Context 1
... was noticed (Georgie wrote about this) that every generation of fermions is well modeled by a cube. In fact, arrange the cube on a horizontal plane so that it stands on top (Fig. 4). We draw on the plane three axes A, B, C at 120° angles to each other --they will represent the color charges; the value of the electric charge is plotted vertically. Then the lower and upper vertices of the cube correspond two leptons of one generation, say, neutrinos and positrons (their electrical charges are 0 and 1, and color ...
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