Concave Antiprisms of Second Sort with Regular Polygonal Bases

Obradović, Marija; Popkonstantinović, Branislav; Mišić, Slobodan

Conference object (Published version)

Faculty of Technical Sciences, University of Novi Sad

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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.

Keywords:

concave antiprism / regular polygon / triangular net / mechanism

Source:
Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012, 2012, 133-143

Publisher:

Novi Sad: Faculty of Technical Sciences, University of Novi Sad
Novi Sad: Serbian Society for Geometry and Graphics (SUGIG)

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:

http://mongeometrija.com/media/mongeometrija/2012/MoNGeometrija_2012_Zbornik.pdf

ISBN: 978-86-7892-405-7

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URI

http://grafar.grf.bg.ac.rs/handle/123456789/2033

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GraFar

TY  - CONF
AU  - Obradović, Marija
AU  - Popkonstantinović, Branislav
AU  - Mišić, Slobodan
PY  - 2012
UR  - http://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
ER  -

@conference{
author = "Obradović, Marija and Popkonstantinović, Branislav and Mišić, Slobodan",
year = "2012",
url = "http://grafar.grf.bg.ac.rs/handle/123456789/2033",
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"
}

Obradović, M., Popkonstantinović, B.,& Mišić, S. (2012). Concave Antiprisms of Second Sort with Regular Polygonal Bases.
Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012
Novi Sad: Serbian Society for Geometry and Graphics (SUGIG)., 133-143.

Obradović M, Popkonstantinović B, Mišić S. Concave Antiprisms of Second Sort with Regular Polygonal Bases. Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. 2012;:133-143

Obradović Marija, Popkonstantinović Branislav, Mišić Slobodan, "Concave Antiprisms of Second Sort with Regular Polygonal Bases" Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012 (2012):133-143