Concave Antiprisms of Second Sort with Regular Polygonal Bases
Authors
Obradović, MarijaPopkonstantinović, Branislav
Mišić, Slobodan
Contributors
Obradović, RatkoConference object (Published version)
,
Faculty of Technical Sciences, University of Novi Sad
Metadata
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The paper discusses determining the positions and spatial coordinates of the vertices of polyhedral structures - concave antiprisms of second sort. These polyhedra originate from folding the double row strip of equilateral triangles, closed by two identical regular polygons, the principle akin to the way of the concave cupolae of second sort formation. The paper considers constructive -geometrical solution, including the method of solving the problem using the mechanisms, by application of SolidWorks software package.
Keywords:
concave antiprism / regular polygon / triangular net / mechanismSource:
Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012, 2012, 133-143Publisher:
- Novi Sad: Faculty of Technical Sciences, University of Novi Sad
- Novi Sad: Serbian Society for Geometry and Graphics (SUGIG)
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-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
Note:
- http://mongeometrija.com/media/mongeometrija/2012/MoNGeometrija_2012_Zbornik.pdf
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GraFarTY - CONF AU - Obradović, Marija AU - Popkonstantinović, Branislav AU - Mišić, Slobodan PY - 2012 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2033 AB - The paper discusses determining the positions and spatial coordinates of the vertices of polyhedral structures - concave antiprisms of second sort. These polyhedra originate from folding the double row strip of equilateral triangles, closed by two identical regular polygons, the principle akin to the way of the concave cupolae of second sort formation. The paper considers constructive -geometrical solution, including the method of solving the problem using the mechanisms, by application of SolidWorks software package. PB - Novi Sad: Faculty of Technical Sciences, University of Novi Sad PB - Novi Sad: Serbian Society for Geometry and Graphics (SUGIG) C3 - Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012 T1 - Concave Antiprisms of Second Sort with Regular Polygonal Bases EP - 143 SP - 133 UR - https://hdl.handle.net/21.15107/rcub_grafar_2033 ER -
@conference{ author = "Obradović, Marija and Popkonstantinović, Branislav and Mišić, Slobodan", year = "2012", abstract = "The paper discusses determining the positions and spatial coordinates of the vertices of polyhedral structures - concave antiprisms of second sort. These polyhedra originate from folding the double row strip of equilateral triangles, closed by two identical regular polygons, the principle akin to the way of the concave cupolae of second sort formation. The paper considers constructive -geometrical solution, including the method of solving the problem using the mechanisms, by application of SolidWorks software package.", publisher = "Novi Sad: Faculty of Technical Sciences, University of Novi Sad, Novi Sad: Serbian Society for Geometry and Graphics (SUGIG)", journal = "Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012", title = "Concave Antiprisms of Second Sort with Regular Polygonal Bases", pages = "143-133", url = "https://hdl.handle.net/21.15107/rcub_grafar_2033" }
Obradović, M., Popkonstantinović, B.,& Mišić, S.. (2012). Concave Antiprisms of Second Sort with Regular Polygonal Bases. in Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012 Novi Sad: Faculty of Technical Sciences, University of Novi Sad., 133-143. https://hdl.handle.net/21.15107/rcub_grafar_2033
Obradović M, Popkonstantinović B, Mišić S. Concave Antiprisms of Second Sort with Regular Polygonal Bases. in Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. 2012;:133-143. https://hdl.handle.net/21.15107/rcub_grafar_2033 .
Obradović, Marija, Popkonstantinović, Branislav, Mišić, Slobodan, "Concave Antiprisms of Second Sort with Regular Polygonal Bases" in Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012 (2012):133-143, https://hdl.handle.net/21.15107/rcub_grafar_2033 .