Concave pyramids of second sort (CP II) are formed similarly to concave cupolae of second sort
(CC II) with a comparable logic of emergence to the regular-faced convex pyramids. They are formed by enclosing the space over a regular polygonal base by the lateral deltahedral wrapper consisting of equilateral triangles meeting in common apex. The plane net is composed of double row of equilateral triangles, so it is possible to form a regular faced pyramid even with bases greater than pentagonal, whereat the obtained polyhedron will be concave. In this paper we focus on a type of concave pyramids of second sort formed over the basic polygons with an even number of sides, type CP II-B which has half the number of lateral unit cells than the type CP II-A.
Brasov, Romania: University ‘Transilvania’ of Brasov
Funding / projects:
Развој нових информационо-комуникационих технологија, коришћењем напредних математичких метода, са применама у медицини, телекомуникацијама, енергетици, заштитити националне баштине и образовању (III44006) - МПНТР
TY - JOUR
AU - Obradović, Marija
AU - Mišić, Slobodan
AU - Popkonstantinović, Branislav
PY - 2015
UR - https://grafar.grf.bg.ac.rs/handle/123456789/1930
AB - Concave pyramids of second sort (CP II) are formed similarly to concave cupolae of second sort
(CC II) with a comparable logic of emergence to the regular-faced convex pyramids. They are formed by enclosing the space over a regular polygonal base by the lateral deltahedral wrapper consisting of equilateral triangles meeting in common apex. The plane net is composed of double row of equilateral triangles, so it is possible to form a regular faced pyramid even with bases greater than pentagonal, whereat the obtained polyhedron will be concave. In this paper we focus on a type of concave pyramids of second sort formed over the basic polygons with an even number of sides, type CP II-B which has half the number of lateral unit cells than the type CP II-A.
PB - Bucharest, Romania: SORGING–ROMANIAN SOCIETYFORENGINEERINGGRAPHICS
PB - Brasov, Romania: University ‘Transilvania’ of Brasov
T2 - Journal of Industrial Design and Engineering Graphics (JIDEG)
T1 - Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides
EP - 50
IS - 2
SP - 45
VL - 10
UR - https://hdl.handle.net/21.15107/rcub_grafar_1930
ER -
@article{
author = "Obradović, Marija and Mišić, Slobodan and Popkonstantinović, Branislav",
year = "2015",
abstract = "Concave pyramids of second sort (CP II) are formed similarly to concave cupolae of second sort
(CC II) with a comparable logic of emergence to the regular-faced convex pyramids. They are formed by enclosing the space over a regular polygonal base by the lateral deltahedral wrapper consisting of equilateral triangles meeting in common apex. The plane net is composed of double row of equilateral triangles, so it is possible to form a regular faced pyramid even with bases greater than pentagonal, whereat the obtained polyhedron will be concave. In this paper we focus on a type of concave pyramids of second sort formed over the basic polygons with an even number of sides, type CP II-B which has half the number of lateral unit cells than the type CP II-A.",
publisher = "Bucharest, Romania: SORGING–ROMANIAN SOCIETYFORENGINEERINGGRAPHICS, Brasov, Romania: University ‘Transilvania’ of Brasov",
journal = "Journal of Industrial Design and Engineering Graphics (JIDEG)",
title = "Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides",
pages = "50-45",
number = "2",
volume = "10",
url = "https://hdl.handle.net/21.15107/rcub_grafar_1930"
}
Obradović, M., Mišić, S.,& Popkonstantinović, B.. (2015). Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides. in Journal of Industrial Design and Engineering Graphics (JIDEG)
Bucharest, Romania: SORGING–ROMANIAN SOCIETYFORENGINEERINGGRAPHICS., 10(2), 45-50.
https://hdl.handle.net/21.15107/rcub_grafar_1930
Obradović M, Mišić S, Popkonstantinović B. Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides. in Journal of Industrial Design and Engineering Graphics (JIDEG). 2015;10(2):45-50.
https://hdl.handle.net/21.15107/rcub_grafar_1930 .
Obradović, Marija, Mišić, Slobodan, Popkonstantinović, Branislav, "Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides" in Journal of Industrial Design and Engineering Graphics (JIDEG), 10, no. 2 (2015):45-50,
https://hdl.handle.net/21.15107/rcub_grafar_1930 .
