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Geometric Proportional Schemas of Serbian Medieval Raška Churches Based on Štambuk’s Proportional Canon

  • Magdalena DragovićEmail author
  • Aleksandar Čučaković
  • Jelena Bogdanović
  • Marko Pejić
  • Milesa Srećković
Research
  • 19 Downloads

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.

Keywords

Proportions Geometric scheme Orthodox church Raška style Parametric modelling 

Notes

Acknowledgements

The authors of the paper would like to thank the Serbian Orthodox Church-Eparchy of Žiča, for their blessing and permission for the research; the brotherhood of the monastery of Studenica for their hospitality and blessing; the David Lingle Fellowship at Iowa State University and the Serbian Ministry of Education, Science and Technological Development-project TR36008 for the financial support. Special thanks to the editor-in-chief of Nexus Network Journal, Michael Ostwald, and the anonymous reviewers for their time and constructive suggestions which shaped the final version of this paper.

Segments of this research were presented at the panel "Medieval Structures, Digital Tools and Architectural Knowledge", at the Conference of the Society of Architectural Historians, held in St. Paul, MN, April 2018. An earlier version of this paper was presented at the International Conference MoNGeometrija 2018, held in Novi Sad, Serbia, June 2018.

Supplementary material

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Copyright information

© Kim Williams Books, Turin 2019

Authors and Affiliations

  1. 1.Faculty of Civil EngineeringUniversity of BelgradeBelgradeSerbia
  2. 2.Architecture Department 158 College of DesignIowa State UniversityAmesUSA
  3. 3.Faculty of Electrical EngineeringUniversity of BelgradeBelgradeSerbia

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