TY  - JOUR
AU  - Dragović, Magdalena
AU  - Čučaković, Aleksandar
AU  - Bogdanović, Jelena
AU  - Pejić, Marko
AU  - Srećković, Milesa
PY  - 2019
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1000
AB  - In this paper, an analysis of three Serbian medieval Raška churches highlights the significance of the interaction of regular geometric shapes in the composition of their underlying proportional scheme. The complex geometry recognised in the layouts and cross-sections of these monastery churches points to the potential use of a unique triangular proportioning system. This proportional system is derived from the initial geometry of Štambuk's proportional canon, which employs two circles constrained by an equilateral triangle in a specific setting. As the essence of religious medieval structures is often related to their interior, in this paper 3D empty space moulds are created by the parametric modelling of each element of the structure. This research shows how the variation of the two critical points of the church interior, the centres of the dome and of the main apse, along with the key triangles incorporated in the proportional scheme, affect the final 3D structural model.
PB  - Birkhauser Verlag AG
T2  - Nexus Network Journal
T1  - Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon
EP  - 58
IS  - 1
SP  - 33
VL  - 21
DO  - 10.1007/s00004-018-00426-z
ER  - 

@article{
author = "Dragović, Magdalena and Čučaković, Aleksandar and Bogdanović, Jelena and Pejić, Marko and Srećković, Milesa",
year = "2019",
abstract = "In this paper, an analysis of three Serbian medieval Raška churches highlights the significance of the interaction of regular geometric shapes in the composition of their underlying proportional scheme. The complex geometry recognised in the layouts and cross-sections of these monastery churches points to the potential use of a unique triangular proportioning system. This proportional system is derived from the initial geometry of Štambuk's proportional canon, which employs two circles constrained by an equilateral triangle in a specific setting. As the essence of religious medieval structures is often related to their interior, in this paper 3D empty space moulds are created by the parametric modelling of each element of the structure. This research shows how the variation of the two critical points of the church interior, the centres of the dome and of the main apse, along with the key triangles incorporated in the proportional scheme, affect the final 3D structural model.",
publisher = "Birkhauser Verlag AG",
journal = "Nexus Network Journal",
title = "Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon",
pages = "58-33",
number = "1",
volume = "21",
doi = "10.1007/s00004-018-00426-z"
}

Dragović, M., Čučaković, A., Bogdanović, J., Pejić, M.,& Srećković, M.. (2019). Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon. in Nexus Network Journal
Birkhauser Verlag AG., 21(1), 33-58.
https://doi.org/10.1007/s00004-018-00426-z

Dragović M, Čučaković A, Bogdanović J, Pejić M, Srećković M. Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon. in Nexus Network Journal. 2019;21(1):33-58.
doi:10.1007/s00004-018-00426-z .

Dragović, Magdalena, Čučaković, Aleksandar, Bogdanović, Jelena, Pejić, Marko, Srećković, Milesa, "Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Stambuk's Proportional Canon" in Nexus Network Journal, 21, no. 1 (2019):33-58,
https://doi.org/10.1007/s00004-018-00426-z . .