pp. 1087-1100 | Article Number: iejme.2016.097
Published Online: August 02, 2016
Article Views: 351 | Article Download: 316
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.
Keywords: Islamic architecture; Taj Mahal; Poi-Kalyan, Bibi-Khanym; compositional fractal analysis
Barnsley, M. (1988) Fractals everywhere. New York: Academic Press. 426p.
Batty, M. & Longley, P. (1994) Fractal cities: a geometry of form and function. New York: Academic Press. 416p.
Bechhoefer, W. & Bovill, C. (1994) Fractal analysis of traditional housing in Amasya, Turkey. Tunis: IASTE. 362p.
Bikram, G. (1986) Taj Mahal. New Delhi: Time Books International. 51p.
Bovill, C. (1996) Fractal geometry in architecture and design. Boston: Birkhäuser. 195p.
Brown, C. T. & Witschey, W. R. (2003) The fractal geometry of ancient Maya settlement. Journal Archaeological Science, 30, 1619-1632.
Burckhardt, T. (1999) Sacred Art in East and West: Its Principles and Methods. Saint-Petersburg: Aletheia. 36p.
Burrough, P. A. (1981) Fractal dimensions of landscapes and other environmental data. Nature, 294, 240–242.
Hillier, B. (1996) Space is the Machine. Cambridge: Cambridge University Press. 122p.
Hutchinson, J. E. (1981) Fractals and self similarity. Indiana Univ. Math. Journal, 30, 713–747.
Karperien, A. (2007) The FracLac. Faculty of Science. Direct access: http://rsb.info.nih.gov/ij/-plugins/fraclac/FLHelp/TheoryStartUpScreen.htm.
Lorenz, W. E. (2002) Fractal and fractal architecture: Ph.D. thesis. Vienna: Vienna University, 212p.
Lorenz, W. E. (2013) Combining Complexity and Harmony by the Box-Counting Method. In Proceedings of the 31st eCAADe Conference. Delft, Netherland, 667-676.
Mandelbrot, B. B. (1983). The fractal geometry of nature. New York: Macmillan. 470p.
Microsoft Excel (2016). Correl function. Direct access: http://office.microsoft.com/ru-ru/excel-help/HP010342332.aspx?CTT=5&origin=HP010342920.
Ostwald, M. J. (2013) The fractal analysis of architecture: calibrating the box-counting method using scaling coefficient and grid disposition variables. Environment and Planning, 40, 644–663.
Ostwald, M. J., Ediz, Ö. (2015) Measuring form, ornament and materiality in Sinan’s Kılıc Ali Pasa Mosque: an analysis using fractal dimensions. Nexus Netw, 17(1), 5-22.
Ostwald, M. J. & Vaughan, J. (2013) Representing Architecture for Fractal Analysis: a Framework for Identifying Significant Lines. Architectural Science Review 56, 242-251.
Panda, R. (2012) Taj Mahal. New Delhi: Mittal. 212p.
Peitgen, H. O. (1988) Fantastic Deterministic Fractals. New York: Springer. 265p.
Riether, G., Baerlecken, D. (2012) Digital Girih, a digital interpretation of Islamic architecture. Int. J. Architectural Computing 10, 1–12.
Sala, N. (2002) The presence of the self-similarity in architecture. In M.M. Novak (Eds.). Emergent Nature - Patterns, Growth and Scaling in the Sciences. Singapore: World Scientific, 273 – 283.
Starodubova-Yenikeeva, T. (2004) Treasures of Islamic Architecture. Moscow: White City. 188p.
Wen, K. C., Kao, Y. N. (2005) An Analytic Study of Architectural Design Style by Fractal Dimension Method. In: 22nd International Symposium on Automation and Robotics in Construction, 367-372.