Possibilities of Deltahedral Concave Cupola Form Application in Architecture
Authorized Users Only
2011
Authors
Obradović, MarijaMišić, Slobodan
Popkonstantinović, Branislav
Petrović, Maja
Contributors
Ibanescu, RaduPopescu, Aristotel
Conference object (Updated Version)
Metadata
Show full item recordAbstract
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 / rosetteSource:
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, 123-140Publisher:
- Iasi: The Gheorghe Asachi Technical University of Iasi
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-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
Collections
Institution/Community
GraFarTY - CONF AU - Obradović, Marija AU - Mišić, Slobodan AU - Popkonstantinović, Branislav AU - Petrović, Maja PY - 2011 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2030 AB - 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 properties, atmospheric effects, functional analysis, preferential use of certain constructive systems, and finally, aesthetic properties of these forms. PB - Iasi: The Gheorghe Asachi Technical University of Iasi C3 - Buletinul Institutului Politehnic din Iaşi, Publicat de Universitatea Tehnică „Gheorghe Asachi” din Iaşi - Proceedings of ICEGD Conference, Iasi 2011 T1 - Possibilities of Deltahedral Concave Cupola Form Application in Architecture EP - 140 IS - Fasc. 3 SP - 123 VL - Tomul LVII (LXI) UR - https://hdl.handle.net/21.15107/rcub_grafar_2030 ER -
@conference{ author = "Obradović, Marija and Mišić, Slobodan and Popkonstantinović, Branislav and Petrović, Maja", year = "2011", 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 properties, atmospheric effects, functional analysis, preferential use of certain constructive systems, and finally, aesthetic properties of these forms.", publisher = "Iasi: The Gheorghe Asachi Technical University of Iasi", journal = "Buletinul Institutului Politehnic din Iaşi, Publicat de Universitatea Tehnică „Gheorghe Asachi” din Iaşi - Proceedings of ICEGD Conference, Iasi 2011", title = "Possibilities of Deltahedral Concave Cupola Form Application in Architecture", pages = "140-123", number = "Fasc. 3", volume = "Tomul LVII (LXI)", url = "https://hdl.handle.net/21.15107/rcub_grafar_2030" }
Obradović, M., Mišić, S., Popkonstantinović, B.,& Petrović, M.. (2011). Possibilities of Deltahedral Concave Cupola Form Application in Architecture. in Buletinul Institutului Politehnic din Iaşi, Publicat de Universitatea Tehnică „Gheorghe Asachi” din Iaşi - Proceedings of ICEGD Conference, Iasi 2011 Iasi: The Gheorghe Asachi Technical University of Iasi., Tomul LVII (LXI)(Fasc. 3), 123-140. https://hdl.handle.net/21.15107/rcub_grafar_2030
Obradović M, Mišić S, Popkonstantinović B, Petrović M. Possibilities of Deltahedral Concave Cupola Form Application in Architecture. in 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. https://hdl.handle.net/21.15107/rcub_grafar_2030 .
Obradović, Marija, Mišić, Slobodan, Popkonstantinović, Branislav, Petrović, Maja, "Possibilities of Deltahedral Concave Cupola Form Application in Architecture" in Buletinul Institutului Politehnic din Iaşi, Publicat de Universitatea Tehnică „Gheorghe Asachi” din Iaşi - Proceedings of ICEGD Conference, Iasi 2011, Tomul LVII (LXI), no. Fasc. 3 (2011):123-140, https://hdl.handle.net/21.15107/rcub_grafar_2030 .