Geometric proportional model of the church of the Ljubostinja monastery
Authors
Dragović, MagdalenaČučaković, Aleksandar
Bogdanović, Jelena
Čičević, Svetlana
Trifunović, Aleksandar
Conference object (Accepted Version)
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The use of proportions is one of the oldest theoretical issues in architecture. However, sometimes geometry, with its specific shapes and constraints
between them, can fully describe the logic of architectural design. This paper
presents geometric proportional schemas of the Serbian medieval church of the
monastery Ljubostinja (built around 1387), the representative of so-called Morava
architectural style.
The research is partly based on Ivo Štambuk’s proportional canon, which he applied on several churches, in wider Mediterranean region during prolonged period of time (4th to 15th c.). Štambuk’s proportional canon is based on two circles and one equilateral triangle constrained to each other and set relative to characteristic points of the church plan and cross-section, above all the location of the altar and the center of the church dome. By adding principles of triangulation and dynamic rectangles, this paper demonstrates more precise proportional model of the church plan and t...he cross-section through the dome. Results show that the proportions of the Ljubostinja’s church can be interpreted by dynamic rectangles (their diagonals are square roots of full numbers) with ratios 1:√2, 1:√3, 1:√5 and, in addition, by specific scheme of equilateral triangles which are constrained to the characteristic points of the church space: center point of the apse and the dome.
Keywords:
Medieval churches / Morava style / geometric proportions / triangulation / dynamic rectanglesSource:
PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction, 2020, 423-434Publisher:
- University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia
Funding / projects:
- Development and application of scientific methods in designing and building highly economical structural system using new technologies (RS-MESTD-Technological Development (TD or TR)-36008)
URI
https://2019.smartart-conference.rs/proceedings/https://grafar.grf.bg.ac.rs/handle/123456789/2265
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GraFarTY - CONF AU - Dragović, Magdalena AU - Čučaković, Aleksandar AU - Bogdanović, Jelena AU - Čičević, Svetlana AU - Trifunović, Aleksandar PY - 2020 UR - https://2019.smartart-conference.rs/proceedings/ UR - https://grafar.grf.bg.ac.rs/handle/123456789/2265 AB - The use of proportions is one of the oldest theoretical issues in architecture. However, sometimes geometry, with its specific shapes and constraints between them, can fully describe the logic of architectural design. This paper presents geometric proportional schemas of the Serbian medieval church of the monastery Ljubostinja (built around 1387), the representative of so-called Morava architectural style. The research is partly based on Ivo Štambuk’s proportional canon, which he applied on several churches, in wider Mediterranean region during prolonged period of time (4th to 15th c.). Štambuk’s proportional canon is based on two circles and one equilateral triangle constrained to each other and set relative to characteristic points of the church plan and cross-section, above all the location of the altar and the center of the church dome. By adding principles of triangulation and dynamic rectangles, this paper demonstrates more precise proportional model of the church plan and the cross-section through the dome. Results show that the proportions of the Ljubostinja’s church can be interpreted by dynamic rectangles (their diagonals are square roots of full numbers) with ratios 1:√2, 1:√3, 1:√5 and, in addition, by specific scheme of equilateral triangles which are constrained to the characteristic points of the church space: center point of the apse and the dome. PB - University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia C3 - PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction T1 - Geometric proportional model of the church of the Ljubostinja monastery EP - 434 SP - 423 UR - https://hdl.handle.net/21.15107/rcub_grafar_2265 ER -
@conference{ author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Čičević, Svetlana and Trifunović, Aleksandar", year = "2020", abstract = "The use of proportions is one of the oldest theoretical issues in architecture. However, sometimes geometry, with its specific shapes and constraints between them, can fully describe the logic of architectural design. This paper presents geometric proportional schemas of the Serbian medieval church of the monastery Ljubostinja (built around 1387), the representative of so-called Morava architectural style. The research is partly based on Ivo Štambuk’s proportional canon, which he applied on several churches, in wider Mediterranean region during prolonged period of time (4th to 15th c.). Štambuk’s proportional canon is based on two circles and one equilateral triangle constrained to each other and set relative to characteristic points of the church plan and cross-section, above all the location of the altar and the center of the church dome. By adding principles of triangulation and dynamic rectangles, this paper demonstrates more precise proportional model of the church plan and the cross-section through the dome. Results show that the proportions of the Ljubostinja’s church can be interpreted by dynamic rectangles (their diagonals are square roots of full numbers) with ratios 1:√2, 1:√3, 1:√5 and, in addition, by specific scheme of equilateral triangles which are constrained to the characteristic points of the church space: center point of the apse and the dome.", publisher = "University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia", journal = "PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction", title = "Geometric proportional model of the church of the Ljubostinja monastery", pages = "434-423", url = "https://hdl.handle.net/21.15107/rcub_grafar_2265" }
Dragović, M., Čučaković, A., Bogdanović, J., Čičević, S.,& Trifunović, A.. (2020). Geometric proportional model of the church of the Ljubostinja monastery. in PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction University of Arts in Belgrade Faculty of Applied Arts Kralja Petra 4, Belgrade,Serbia., 423-434. https://hdl.handle.net/21.15107/rcub_grafar_2265
Dragović M, Čučaković A, Bogdanović J, Čičević S, Trifunović A. Geometric proportional model of the church of the Ljubostinja monastery. in PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction. 2020;:423-434. https://hdl.handle.net/21.15107/rcub_grafar_2265 .
Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Čičević, Svetlana, Trifunović, Aleksandar, "Geometric proportional model of the church of the Ljubostinja monastery" in PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE SMARTART – ART AND SCIENCE APPLIED From Inspiration to Interaction (2020):423-434, https://hdl.handle.net/21.15107/rcub_grafar_2265 .