A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort

Obradović, Marija

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Faculty of Technical Sciences, University of Novi Sad

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Abstract

The paper presents the variations of polyhedral forms based on the geometry of concave cupolae of II sort. There were considered only variations that include bicupolae of II sort, with bases connected directly or indirectly - using prism or concave antiprism of II sort elongations, and giroelongations by antiprisms. Considering that there are 14 (i.e. 7 x 2) concave cupolae of II sort, from n = 4 to n = 10, for each base we get 30 variations, making a total of 210 different solids.

Keywords:

concave bicupola / concave antiprism / elongation / giroelongation

Source:
Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012, 2012, 95-108

Publisher:

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-44006)

Note:

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

ISBN: 978-86-7892-405-7

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Handle

https://hdl.handle.net/21.15107/rcub_grafar_2034

URI

https://grafar.grf.bg.ac.rs/handle/123456789/2034

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GraFar

TY  - CONF
AU  - Obradović, Marija
PY  - 2012
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2034
AB  - The paper presents the variations of polyhedral forms based on the geometry of concave cupolae of II sort. There were considered only variations that include bicupolae of II sort, with bases connected directly or indirectly - using prism or concave antiprism of II sort elongations, and giroelongations by antiprisms.	
Considering that there are 14 (i.e. 7 x 2) concave cupolae of II sort, from n = 4 to n = 10, for each base we get 30 variations, making a total of 210 different solids.
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  - A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort
EP  - 108
SP  - 95
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2034
ER  -

@conference{
author = "Obradović, Marija",
year = "2012",
abstract = "The paper presents the variations of polyhedral forms based on the geometry of concave cupolae of II sort. There were considered only variations that include bicupolae of II sort, with bases connected directly or indirectly - using prism or concave antiprism of II sort elongations, and giroelongations by antiprisms.	
Considering that there are 14 (i.e. 7 x 2) concave cupolae of II sort, from n = 4 to n = 10, for each base we get 30 variations, making a total of 210 different solids.",
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 = "A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort",
pages = "108-95",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2034"
}

Obradović, M.. (2012). A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort. in Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012
Novi Sad:Faculty of Technical Sciences, University of Novi Sad., 95-108.
https://hdl.handle.net/21.15107/rcub_grafar_2034

Obradović M. A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort. in Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012. 2012;:95-108.
https://hdl.handle.net/21.15107/rcub_grafar_2034 .

Obradović, Marija, "A Group Of Polyhedra Arised As Variations Of Concave Bicupolae Of Second Sort" in Proceedings of the 3rd International Scientific Conference MoNGeometrija 2012 (2012):95-108,
https://hdl.handle.net/21.15107/rcub_grafar_2034 .