The possibility of constructing Platonic solids from structural elements is shown — Kepler triangles (ratio of legs 1:√1.618..) and Fibonacci (ratio of legs 1:1.618...) — provided that the area of these elements remains unchanged. The number of elements making up the structure of the "tetrahedron", "octahedron", "cube" increases, thus, by two times, and the "icosahedron" — by five times in relation to the number of elements of the tetrahedron, while the indicator "area of all structural elements of the figure" (S=√38373) and radius (r=3) inscribed in the Platonic solids of the sphere. The area of the structural elements of two dodecahedra (S=√959325) is equal to the area of the structural elements of any 5 Platonic solids, for example, 5 tetrahedra, octahedra, cubes, icosahedra (S=√38373). The possibility shown is in accordance with the text of Plato's work Timaeus, according to which Platonic bodies can "transform into each other...". The assumption about the possibility of transitions (degenerations) of Platonic bodies into each other (with a certain constant value (parameter) and other variables) turned out to be practically feasible with a constant value (parameter) of the "area of structural elements", and as a variable — their multiple number in the "structure" of Platonic bodies. In connection with the results of this study and the content of Plato's work "Timaeus", an assumption is made: that the words "Receptacle" and "Breadwinner" meant the world environment, and Platonic solids meant fundamental particles, which, thus, can have the properties of mutual transition (rebirth) and movement in this environment. Possible compositions of models of fundamental particles in the space of the "dodecahedral field" are determined. It is shown that the construction of various compositions of Platonic solids (in the process of creating models of fundamental particles in accordance with the "rules" of their location in the dodecahedral field) allows us to "generate" a significant variety of their original compounds.