(SI) Osrednja tema projekta je raziskovanje relacij med diskretnimi geometričnimi objekti z visoko stopnjo simetrij in grupami, ki opisujejo te objekte. Prvo raziskovalno področje projekta bo preiskava abstraktnih politopov. Po definiciji je abstrakten politop poset (delna urejena množica) končnega ranka, katere lastnosti oponašajo lastnosti mrežje lic konveknih politopov. 
(EN) The project focuses on exploring the relationships between discrete geometric objects with a high degree of symmetries and the groups that describe these objects. The first research area of the project will be the investigation of abstract polytopes. By definition, an abstract polytope is a poset (a partially ordered set) of finite rank whose properties mimic those of the lattice of faces of convolution polytopes.