aDepartment of Physics, University of Alexandria, Egypt
bDepartment of Astrophysics, Cairo University, Egypt
cDepartment of Physics, Mansura University, Egypt
Abstract:
The geometry of classical platonic solids and their generalization to four-dimensional fuzzy polytopes are considered. Subsequently it is shown how the so obtained relationships and the associated symmetry groups are related to high energy particle physics. In particular the topology of a fuzzy Dodecahedron and four-dimensional polytopes are used to give information about the elementary particles content of the standard model of high energy physics.