Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort
Konferencijski prilog (Objavljena verzija)
,
Serbian Society for Geometry and Graphics (SUGIG)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
This study presents a continuation of the research on the concave polyhedra of the second sort, adding to this family a new group of related polyhedra. They are formed over a specific type of isotoxal concave polygons that allow geometric arrangement of a double row of equilateral triangles into formations which enclose a deltahedral lateral surface without overlaps and gaps. As in all other representatives of the concave polyhedra of the second sort, we expect to find here the "major" and "minor" type, depending on the way we fold the net. This research has identified both these polyhedra types, which have the same planar net, but are formed over different basic concave polygons. The origination, constructive methods and properties of these solids are elaborated in the paper.
Ključne reči:
concave polyhedron / concave polygon / polygon elevation / antiprism / isotoxal / constructive geometryIzvor:
PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020, 2020, 13-26Izdavač:
- Belgrade: Serbian Society for Geometry and Graphics (SUGIG); Faculty of Mechanical Engineering, University of Belgrade
Finansiranje / projekti:
- Ministarstvo nauke, tehnološkog razvoja i inovacija Republike Srbije, institucionalno finansiranje - 200092 (Univerzitet u Beogradu, Građevinski fakultet) (RS-MESTD-inst-2020-200092)
Napomena:
- http://mongeometrija.com/attachments/article/417/Plan_i_program.pdf Predavanje po pozivu / Invited lecturer
Institucija/grupa
GraFarTY - CONF AU - Obradović, Marija PY - 2020 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2206 AB - This study presents a continuation of the research on the concave polyhedra of the second sort, adding to this family a new group of related polyhedra. They are formed over a specific type of isotoxal concave polygons that allow geometric arrangement of a double row of equilateral triangles into formations which enclose a deltahedral lateral surface without overlaps and gaps. As in all other representatives of the concave polyhedra of the second sort, we expect to find here the "major" and "minor" type, depending on the way we fold the net. This research has identified both these polyhedra types, which have the same planar net, but are formed over different basic concave polygons. The origination, constructive methods and properties of these solids are elaborated in the paper. PB - Belgrade: Serbian Society for Geometry and Graphics (SUGIG); Faculty of Mechanical Engineering, University of Belgrade C3 - PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020 T1 - Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort EP - 26 SP - 13 UR - https://hdl.handle.net/21.15107/rcub_grafar_2206 ER -
@conference{ author = "Obradović, Marija", year = "2020", abstract = "This study presents a continuation of the research on the concave polyhedra of the second sort, adding to this family a new group of related polyhedra. They are formed over a specific type of isotoxal concave polygons that allow geometric arrangement of a double row of equilateral triangles into formations which enclose a deltahedral lateral surface without overlaps and gaps. As in all other representatives of the concave polyhedra of the second sort, we expect to find here the "major" and "minor" type, depending on the way we fold the net. This research has identified both these polyhedra types, which have the same planar net, but are formed over different basic concave polygons. The origination, constructive methods and properties of these solids are elaborated in the paper.", publisher = "Belgrade: Serbian Society for Geometry and Graphics (SUGIG); Faculty of Mechanical Engineering, University of Belgrade", journal = "PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020", title = "Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort", pages = "26-13", url = "https://hdl.handle.net/21.15107/rcub_grafar_2206" }
Obradović, M.. (2020). Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort. in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020 Belgrade: Serbian Society for Geometry and Graphics (SUGIG); Faculty of Mechanical Engineering, University of Belgrade., 13-26. https://hdl.handle.net/21.15107/rcub_grafar_2206
Obradović M. Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort. in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020. 2020;:13-26. https://hdl.handle.net/21.15107/rcub_grafar_2206 .
Obradović, Marija, "Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort" in PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020 (2020):13-26, https://hdl.handle.net/21.15107/rcub_grafar_2206 .