Modularity of concave polyhedra of the second sort with octagonal bases

The aim of this research is to examine and outline modularity of the selected representatives of concave pol yhedra of the second sort (C II), from the point of view of their high combinatorial potential for creating diverse polyhedral structures, some of which can be applied in architectural design. The modularity is primarily attributed to the regular pol ygonal bases around which the solids are created. There are three basic groups of concave pol yhedra of the second sort: concave cupolae (CC II), concave pyramids (CP II) and concave antiprisms (CA.II). Since each of these groups contains the representatives with octagonal bases, they are chosen for this research, not only because of their compatibility, but also because of their accordance with the orthogonal matrix underlying the conventional modular grid, ubiquitous in architectural design. In this study, we examine the possibilities of modular conjoining of these pol yhedra into new, composite structures, creating forms that can contribute to enrichment of architectural design expression, allowing easy execution at the same time.[https://link.springer.com/chapter/10.1007/978-3-319-95588-9_81] 18th International Conference on Geometry and Graphics (ICGG), Milan, Italy. 3-7. August 2018