Constructive geometric generating of concave pyramids of fourth sort

The paper presents the results of the study of the new set of polihedra, the Concave pyramids of the fourth sort, the construction procedures for generating them and their possible application. Correspondingly to the method of generating the Concave cupolae of fourth sort, the Concave pyramids of fo...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Mišić Slobodan Ž., Backović Marija V.
Formato:	article
Lenguaje:	EN
Publicado:	University of Belgrade - Faculty of Mechanical Engineering, Belgrade 2021
Materias:	concave pyramids polyhedral equilateral triangle regular polygon Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359
Acceso en línea:	https://doaj.org/article/bf31edfe02e74634a4f15d6088699d31
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:bf31edfe02e74634a4f15d6088699d31
record_format	dspace
spelling	oai:doaj.org-article:bf31edfe02e74634a4f15d6088699d312021-12-05T21:01:51ZConstructive geometric generating of concave pyramids of fourth sort1451-20922406-128X10.5937/fme2104047Mhttps://doaj.org/article/bf31edfe02e74634a4f15d6088699d312021-01-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2021/1451-20922104047M.pdfhttps://doaj.org/toc/1451-2092https://doaj.org/toc/2406-128XThe paper presents the results of the study of the new set of polihedra, the Concave pyramids of the fourth sort, the construction procedures for generating them and their possible application. Correspondingly to the method of generating the Concave cupolae of fourth sort, the Concave pyramids of fourth sort have the similar logic of origination, and their counterpart in regular faced convex pyramids. They are characterised by the polygonal base, deltahedral surface net, obtained by folding the planar net of unilateral triangles, the polar distribution of the unit space cells with common apex - the top of the Concave pyramid. Polihedral surface of the planar net of Concave pyramids is produced by polar distribution of unit cells, consisting of a spatial sexagon and spatial pentagon - six, or five, unilateral triangles grouped around the common vertex. In the deltahedral surface, the two neighbouring unit cells are joined by means of a unilateral triangle in the zone of the polygonal base and a spatial quadrangle with which they share common sides. The criterion of face regularity is respected, as well as the criterion of multiple axial symmetry. The sort of the Concave pyramids is determined by the number of equilateral triangle rows in thus obtained polyhedron's net. The parameters of the solids were determined constructively by geometric methods.Mišić Slobodan Ž.Backović Marija V.University of Belgrade - Faculty of Mechanical Engineering, Belgradearticleconcave pyramidspolyhedralequilateral triangleregular polygonEngineering (General). Civil engineering (General)TA1-2040Mechanics of engineering. Applied mechanicsTA349-359ENFME Transactions, Vol 49, Iss 4, Pp 1047-1054 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	concave pyramids polyhedral equilateral triangle regular polygon Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359
spellingShingle	concave pyramids polyhedral equilateral triangle regular polygon Engineering (General). Civil engineering (General) TA1-2040 Mechanics of engineering. Applied mechanics TA349-359 Mišić Slobodan Ž. Backović Marija V. Constructive geometric generating of concave pyramids of fourth sort
description	The paper presents the results of the study of the new set of polihedra, the Concave pyramids of the fourth sort, the construction procedures for generating them and their possible application. Correspondingly to the method of generating the Concave cupolae of fourth sort, the Concave pyramids of fourth sort have the similar logic of origination, and their counterpart in regular faced convex pyramids. They are characterised by the polygonal base, deltahedral surface net, obtained by folding the planar net of unilateral triangles, the polar distribution of the unit space cells with common apex - the top of the Concave pyramid. Polihedral surface of the planar net of Concave pyramids is produced by polar distribution of unit cells, consisting of a spatial sexagon and spatial pentagon - six, or five, unilateral triangles grouped around the common vertex. In the deltahedral surface, the two neighbouring unit cells are joined by means of a unilateral triangle in the zone of the polygonal base and a spatial quadrangle with which they share common sides. The criterion of face regularity is respected, as well as the criterion of multiple axial symmetry. The sort of the Concave pyramids is determined by the number of equilateral triangle rows in thus obtained polyhedron's net. The parameters of the solids were determined constructively by geometric methods.
format	article
author	Mišić Slobodan Ž. Backović Marija V.
author_facet	Mišić Slobodan Ž. Backović Marija V.
author_sort	Mišić Slobodan Ž.
title	Constructive geometric generating of concave pyramids of fourth sort
title_short	Constructive geometric generating of concave pyramids of fourth sort
title_full	Constructive geometric generating of concave pyramids of fourth sort
title_fullStr	Constructive geometric generating of concave pyramids of fourth sort
title_full_unstemmed	Constructive geometric generating of concave pyramids of fourth sort
title_sort	constructive geometric generating of concave pyramids of fourth sort
publisher	University of Belgrade - Faculty of Mechanical Engineering, Belgrade
publishDate	2021
url	https://doaj.org/article/bf31edfe02e74634a4f15d6088699d31
work_keys_str_mv	AT misicslobodanz constructivegeometricgeneratingofconcavepyramidsoffourthsort AT backovicmarijav constructivegeometricgeneratingofconcavepyramidsoffourthsort
_version_	1718371027601326080

Constructive geometric generating of concave pyramids of fourth sort

Ejemplares similares