International Electronic Journal of Mathematics Education

A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles
  • Article Type: Research Article
  • International Electronic Journal of Mathematics Education, 2016 - Volume 11 Issue 5, pp. 1087-1100
  • Published Online: 02 Aug 2016
  • Article Views: 704 | Article Download: 743
  • Open Access Full Text (PDF)
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Shishin MY, Ismail KJA. A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles. Int Elect J Math Ed. 2016;11(5), 1087-1100.
APA 6th edition
In-text citation: (Shishin & Ismail, 2016)
Reference: Shishin, M. Y., & Ismail, K. J. A. (2016). A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles. International Electronic Journal of Mathematics Education, 11(5), 1087-1100.
Chicago
In-text citation: (Shishin and Ismail, 2016)
Reference: Shishin, Mikhail Yu., and Khalid J. Aldeen Ismail. "A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles". International Electronic Journal of Mathematics Education 2016 11 no. 5 (2016): 1087-1100.
Harvard
In-text citation: (Shishin and Ismail, 2016)
Reference: Shishin, M. Y., and Ismail, K. J. A. (2016). A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles. International Electronic Journal of Mathematics Education, 11(5), pp. 1087-1100.
MLA
In-text citation: (Shishin and Ismail, 2016)
Reference: Shishin, Mikhail Yu. et al. "A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles". International Electronic Journal of Mathematics Education, vol. 11, no. 5, 2016, pp. 1087-1100.
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Shishin MY, Ismail KJA. A Method of Compositional Fractal Analysis and its Application in Islamic Architectural Ensembles. Int Elect J Math Ed. 2016;11(5):1087-100.

Abstract

The purpose of the study is to examine the ensemble of Islamic architecture and its artistic expression due to its compositional characteristics (shape of the dome, minarets, etc.). The paper presents two methods: a visual fractal analysis and a dimension fractal analysis to verify the applicability of compositional fractal analysis for consideration of the spatial coherence of fractal characteristics (landscape plan, section, elevation, floor plan and ornamental motif). Using the same methodology, we analyze the consistency of fractal characteristics of objects Poi-Kalyan and Bibi-Khanym in Uzbekstan, taking into account their restoration and reconstruction, as well as famous ensemble of architecture, the Taj Mahal in India.

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