The project "Layered transition metal oxypnictides: Kondo systems, magnetism, and superconductivity" involves synthesizing and measuring the physical properties (magnetic susceptibility, electrical resistance, heat capacity) of compounds belonging to the structural family RE3T4Pn4O2 (3442 family; RE - rare earth, T = Ni, Cu, Pn = P, As). These compounds crystallize in a layered structure of the Zr3Cu4Si6 type, and their electrical and magnetic properties depend on three factors: the RE atom, the T atom, and the Pn-Pn distance. In the case of rare earth elements having electrons on the f-shell (all lanthanides except La and Lu), magnetic compounds are expected to be obtained and the resulting magnetic ions can be isolated from the conduction electrons or, in rare cases, interact with them (RE = Ce). Moreover, since in the 3442 structure, the RE atom occupies two different Wyckoff positions (2a and 4e), it is possible to obtain two different multiplicities of the RE atoms' ground states due to the different crystal fields. The choice of transition metal primarily affects the position of the Fermi level (e.g., the energy states of copper lie lower than those of nickel) and can result in the presence of localized magnetic moments in the sample, as in the case of La3Cu4P4O2 (one Cu2+ ion per elementary cell). Moreover, depending on the T metal, the expected properties of the sample change: the compounds La3Ni4Pn4O2 (Pn = P, As) are superconductors, while their copper analogs are not, but they show a minimum of electrical resistance at low temperatures, absent in the case of compounds with Ni. The last degree of freedom in the system is the possibility of dimerization of Pn atoms: depending on the distance d(Pn-Pn), Pn atoms may or may not be bonded to each other. What is unique in the structures of layered transition metal oxypnictides, all three degrees of freedom, i.e. (1) the choice of RE atom, (2) the choice of T atom and (3) the possibility of dimerization of Pn atoms are coupled with each other. The potential gain from the project is scientific publications in JCR-listed journals and presentations at major international conferences in materials engineering, physics, and solid-state chemistry, which will translate into increased visibility for Gdansk University of Technology.