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Modularity of Concave Polyhedra of the Second Sort with Octagonal Bases

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Part of the Advances in Intelligent Systems and Computing book series (AISC,volume 809)

Abstract

The aim of this research is to examine and outline modularity of the selected representatives of concave polyhedra 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 polygonal bases around which the solids are created. There are three basic groups of concave polyhedra 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 polyhedra into new, composite structures, creating forms that can contribute to enrichment of architectural design expression, allowing easy execution at the same time.

Keywords

  • Concave polyhedron
  • Octagon
  • Modularity
  • Composite deltahedral structures

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Acknowledgement

This paper is supported by MPNTR of Serbia, grant No. III44006.

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Correspondence to Marija Obradović .

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Obradović, M. (2019). Modularity of Concave Polyhedra of the Second Sort with Octagonal Bases. In: Cocchiarella, L. (eds) ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. ICGG 2018. Advances in Intelligent Systems and Computing, vol 809. Springer, Cham. https://doi.org/10.1007/978-3-319-95588-9_81

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  • DOI: https://doi.org/10.1007/978-3-319-95588-9_81

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