Crystallography of Mendeleev’s periodic table

Electrons in each atomic orbital (s, p, d, f, and so on) form regular systems on a sphere, which can be easily revealed when constructing Mendeleev’s periodic table. Electrons in orbitals (including hybrid orbitals) can be located only at the vertices of isogons: Platonic bodies; Archimedean bodies; and two infinite series of prisms and antiprisms and their affine transforms, which retain the vertex transitivity. Electrons in crystal structures are distributed over isogonal three-dimensional regular systems that are vertices of partitions composed of isogons.