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Geometric Properties of the “Flower” Concave Antiprisms of the Second Sort

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2020
GEOMETRIC PROPERTIES OF THE “FLOWER” CONCAVE ANTIPRISMS OF THE SECOND SORT (4.109Mb)
Authors
Obradović, Marija
Contributors
Jeli, Zorana
Conference object (Published version)
,
Serbian Society for Geometry and Graphics (SUGIG)
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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.
Keywords:
concave polyhedron / concave polygon / polygon elevation / antiprism / isotoxal / constructive geometry
Source:
PROCEEDINGS of The 7th International Scientific Conference on Geometry and Graphics moNGeomatrija2020, 2020, 13-26
Publisher:
  • Belgrade: Serbian Society for Geometry and Graphics (SUGIG); Faculty of Mechanical Engineering, University of Belgrade
Projects:
  • Efekti primene i optimizacija novih tehnologija, oruđa i mašina za uređenje i obradu zemljišta u biljnoj proizvodnji (RS-20092)
Note:
  • http://mongeometrija.com/attachments/article/417/Plan_i_program.pdf Predavanje po pozivu / Invited lecturer

ISBN: 978-86-6060-046-4

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URI
https://grafar.grf.bg.ac.rs/handle/123456789/2206
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  • Катедра за математику, физику и нацртну геометрију
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