Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry
Authorized Users Only
2011
Authors
Petrović, MajaObradović, Marija
Mijailović, Radomir
Contributors
Ibanescu, RaduPopescu, Aristotel
Conference object (Published version)
Metadata
Show full item recordAbstract
Researching the different types of plane curves with ovoid shape, it has been shown that there are some forms of egg-curves that may be useful for design in engineering, especially in architecture. Increase of energy efficiency, increase of streamlining, reduction of aerodynamic drag and reduction of materials consumption during construction, are the reasons for the growing upbuilding of structures with ovoid form. By the analysis conducted in this paper, it is concluded that the contours of objects can be approximated by a cubic egg-shaped curve obtained as a result of the construction of Fritz Hügelschäffer. The quality of the coherence between an actual object’s shape and the mathematical formula of the cubic egg curve is quantified by the coefficient of determination. The paper is presenting the results of similitude comparisons of the Hügelschäffer’s egg curve shape with several well-known architectural structures
Keywords:
egg-shaped curve / Hügelschäffer’s construction / the coefficient of determinationSource:
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, 115-122Publisher:
- 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 - Petrović, Maja AU - Obradović, Marija AU - Mijailović, Radomir PY - 2011 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2029 AB - Researching the different types of plane curves with ovoid shape, it has been shown that there are some forms of egg-curves that may be useful for design in engineering, especially in architecture. Increase of energy efficiency, increase of streamlining, reduction of aerodynamic drag and reduction of materials consumption during construction, are the reasons for the growing upbuilding of structures with ovoid form. By the analysis conducted in this paper, it is concluded that the contours of objects can be approximated by a cubic egg-shaped curve obtained as a result of the construction of Fritz Hügelschäffer. The quality of the coherence between an actual object’s shape and the mathematical formula of the cubic egg curve is quantified by the coefficient of determination. The paper is presenting the results of similitude comparisons of the Hügelschäffer’s egg curve shape with several well-known architectural structures 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 - Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry EP - 122 IS - Fasc. 3 SP - 115 VL - Tomul LVII (LXI) UR - https://hdl.handle.net/21.15107/rcub_grafar_2029 ER -
@conference{ author = "Petrović, Maja and Obradović, Marija and Mijailović, Radomir", year = "2011", abstract = "Researching the different types of plane curves with ovoid shape, it has been shown that there are some forms of egg-curves that may be useful for design in engineering, especially in architecture. Increase of energy efficiency, increase of streamlining, reduction of aerodynamic drag and reduction of materials consumption during construction, are the reasons for the growing upbuilding of structures with ovoid form. By the analysis conducted in this paper, it is concluded that the contours of objects can be approximated by a cubic egg-shaped curve obtained as a result of the construction of Fritz Hügelschäffer. The quality of the coherence between an actual object’s shape and the mathematical formula of the cubic egg curve is quantified by the coefficient of determination. The paper is presenting the results of similitude comparisons of the Hügelschäffer’s egg curve shape with several well-known architectural structures", 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 = "Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry", pages = "122-115", number = "Fasc. 3", volume = "Tomul LVII (LXI)", url = "https://hdl.handle.net/21.15107/rcub_grafar_2029" }
Petrović, M., Obradović, M.,& Mijailović, R.. (2011). Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry. 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), 115-122. https://hdl.handle.net/21.15107/rcub_grafar_2029
Petrović M, Obradović M, Mijailović R. Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry. 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):115-122. https://hdl.handle.net/21.15107/rcub_grafar_2029 .
Petrović, Maja, Obradović, Marija, Mijailović, Radomir, "Suitability Analysis of Hugelschaffer's Egg Curve Application in Architectural Structures’ Geometry" 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):115-122, https://hdl.handle.net/21.15107/rcub_grafar_2029 .