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Modularity of concave polyhedra of the second sort with octagonal bases

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2019
Authors
Obradović, Marija
Contributors
Cocchiarella, Luigi
Conference object (Accepted Version)
,
Springer International Publishing AG, part of Springer Nature 2019
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Abstract
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
Publisher:
  • Cham: Springer
Funding / projects:
  • 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)
Note:
  • 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.

DOI: 10.1007/978-3-319-95588-9_81

ISBN: 978-3-319-95587-2

ISSN: 2194-5357; 2194-5365 (online)

Scopus: 2-s2.0-85050645645
[ Google Scholar ]
URI
https://grafar.grf.bg.ac.rs/handle/123456789/1944
Collections
  • Radovi istraživača / Researcher's publications
  • Катедра за математику, физику и нацртну геометрију
Institution/Community
GraFar
TY  - CONF
AU  - Obradović, Marija
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1944
AB  - 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.
PB  - Cham: Springer
C3  - Advances in Intelligent Systems and Computing, ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics
T1  - Modularity of concave polyhedra of the second sort with octagonal bases
EP  - 954
SP  - 942
VL  - 809
DO  - 10.1007/978-3-319-95588-9_81
ER  - 
@conference{
author = "Obradović, Marija",
year = "2019",
abstract = "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.",
publisher = "Cham: Springer",
journal = "Advances in Intelligent Systems and Computing, ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics",
title = "Modularity of concave polyhedra of the second sort with octagonal bases",
pages = "954-942",
volume = "809",
doi = "10.1007/978-3-319-95588-9_81"
}
Obradović, M.. (2019). Modularity of concave polyhedra of the second sort with octagonal bases. in Advances in Intelligent Systems and Computing, ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics
Cham: Springer., 809, 942-954.
https://doi.org/10.1007/978-3-319-95588-9_81
Obradović M. Modularity of concave polyhedra of the second sort with octagonal bases. in Advances in Intelligent Systems and Computing, ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics. 2019;809:942-954.
doi:10.1007/978-3-319-95588-9_81 .
Obradović, Marija, "Modularity of concave polyhedra of the second sort with octagonal bases" in Advances in Intelligent Systems and Computing, ICGG 2018 - Proceedings of the 18th International Conference on Geometry and Graphics, 809 (2019):942-954,
https://doi.org/10.1007/978-3-319-95588-9_81 . .

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