PYTHAGOREAN APPROACH TO PROBLEMS OF PERIODICITY IN MODERN SCIENCE
Pythagorean approach to numerical sequences in both chemical and nuclear physics has allowed proposing the geometric analogies, based on the figured numbers (threedimensional forms of Mendeleev’s periodic table and packing models for atomic nuclei). The Pascal’s triangle and finite-difference method are used to deduce formulas. The formulas make it possible to extrapolate both atomic and nuclear magic numbers ad infinitum.