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Possibilities of Deltahedral Concave Cupola Form Application in Architecture

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2011
Authors
Obradović, Marija
Mišić, Slobodan
Popkonstantinović, Branislav
Petrović, Maja
Contributors
Ibanescu, Radu
Popescu, Aristotel
Conference object (Updated Version)
,
“GHEORGHE ASACHI” TECHNICAL UNIVERSITY OF IAŞI
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Abstract
In recent years, we are witnessing an increasing use of triangular modular building systems, which, especially in representative objects, almost push out the orthogonal system. Considering that deltahedra are assembled of equilateral triangles matching system, we investigated a possible application of such polyhedral forms in geometry of architectural edifices. Deltahedral concave cupola with a regular polygonal base is formed by connecting two concentric regular polygons: n-gon and 2n-gon by multiple series of equilateral triangles. Lateral surface of the cupola is obtained by folding a net of equilateral triangles to a concave polyhedral surface. The paper analyzes the prospect of such surfaces in architecture, not only in the geometry of roof structures, which is imposing as an obvious solution, but also as a structural skeleton of the whole building. The analysis includes several criteria for evaluating the suitability of these forms for practical application: their static properti...es, atmospheric effects, functional analysis, preferential use of certain constructive systems, and finally, aesthetic properties of these forms.

Keywords:
concave polyhedron / cupola / lateral deltahedral surface / dome / constructive system / rosette
Source:
Buletinul Institutului Politehnic din Iaşi, Publicat de Universitatea Tehnică „Gheorghe Asachi” din Iaşi - Proceedings of ICEGD Conference, Iasi 2011, 2011, Tomul LVII (LXI), Fasc. 3, 123-140
Publisher:
  • Iasi: The Gheorghe Asachi Technical University of Iasi
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)

ISSN: 2537-4869 (online); 1011-2855 (print)

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URI
http://grafar.grf.bg.ac.rs/handle/123456789/2030
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