Modularity of concave polyhedra of the second sort with octagonal bases
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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 c...an contribute to enrichment of architectural design expression, allowing easy execution at the same time.
Keywords:Concave polyhedron / Octagon / Modularity / Composite deltahedral structures
Source:Advances in Intelligent Systems and Computing, ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics, 2019, 809, 942-954
- Cham: Springer
- Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education (RS-44006)
- 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.