Every day we are surrounded, and we enter in contact with tens or maybe even hundreds of objects, whether they serve us as tools in carrying out certain activities, or whether they have a purely decorative role, they are part of our lives and have become indispensable to humanity. But how many times have we thought about the fact that these objects are based on simple geometries or intersections of geometric bodies that together make up an assembly which, later can be built and used for its designed purpose. This article aims to analyse the mechanical behaviour of the pentagonal cupola when applying static loads, considering several geometric filling patterns, but also the empty and the full structure of the polyhedron.