Variations of Concave Pyramids of Second Sort with an Even Number of Base Sides
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.
Keywords:
concave polyhedron / concave pyramid / deltahedral lateral surface / regular polygonal basisSource:
Journal of Industrial Design and Engineering Graphics (JIDEG), 2015, 10, 2, 45-50Publisher:
- Bucharest, Romania: SORGING–ROMANIAN SOCIETYFORENGINEERINGGRAPHICS
- 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
Note:
- Одабрани радови са конференције: THE 6-TH INTERNATIONAL CONFERENCE ON ENGINEERING GRAPHICS AND DESIGN, Брашов, Румунија, 11-13 јун 2015 http://sorging.ro/jideg/index.php/jid/issue/view/18
Collections
Institution/Community
GraFarTY - 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 .