Authors: Lev I. Verkhovsky
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.
Comments: 8 Pages. This is a translation into English of the abridged version of an article published in the Russian popular science journal `Chemistry and Life` (2006, No 6)
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