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Year 2019, Volume: 32 Issue: 1, 27 - 37, 01.03.2019

Abstract

References

  • Abdelsalam, M. (2012). The use of smart geometry in Islamic patterns. (pp. 50-60). Bahrain: ASCAAD.Agha Khan. (2016). CAD drawings. Retrieved from www.archnet.org.Aish, R. (2003). Bentley’s GenerativeComponents.A design tool for exploratory architecture. smart geometry conference. London: Bentley systems institution.Al-Buzjani, A. a.-W. (Mid of the 1st century). Those Geometric Constructions Which Are Necessary for a Craftsman (manuscript in Arabic). Baghdad: limited published copies.Ben-Hamouche, M. (2011). Fractal Geometry in Muslim Cities:How Succession Law Shaped Morphology. Nexus Network Journal, 235-251.Bovill, C. (1996). Fractal gemetry in Architecture and design. Boston: Birkhauser.Broug, E. (2008). Islamic Geometric Patterns. Thames & Hudson.Celani, M. (2002). Beyond analysis and representation in CAD:a new computational approach to desi2n education. Massachusetts: MIT.Colakoglu, M. (2001). Design by Grammar: Algorithmic Design in an Architectural Context. Massachussetes: MIT.Crompton, A. (2002). Fractals and picturesque composition . Environment and Planning, 451-459.D’Arcy, T. (1942). On growth and form. Cambridge University.Dabbour, L. M. (2012). Geometric proportions: The underlying structure of design process for Islamic geometric patterns (Vol. 1). Frontiers of Architectural Research.Haider,G. and Moussa M. (2015). Explicit and Implicit Geometric Orders in Mamluk Floors: Secrets of the Sultan Hassan Floor in Cairo. In K. Williams, Architecture and mathemaics: Volume 1 (pp. 483-488). Birkhauser.Lorenz, W. E. (2011). Fractal Geometry of Architecture. In P. G. al., Biomimetics – Materials, Structures and Processes (pp. 179-199). Berlin : Springer-Verlag Berlin Heidelberg.Mandelbrot, B. (1982). The fractal Geometry of Nature. New York : W. H. Freeman.Marques and Woodbury . (2007). Managing contingency in parametric models through implicit relational modeling. CAADFutures 07 (pp. 279–288). Canada: Springer.Mirza, M. (2017, JUNE 23). https://destinationksa.com/touring-jeddahs-largest-mosque/#more-35206. Retrieved from destinationksa: https://destinationksa.com/author/mirza/page/2/Nasr, S. H. (1978). An Introduction to Islamic Cosmological Doctrines. UK: Thames and Hudson.Ostwald M.,Vaughan J. (2016). The fractal dimension of architecture. Switzerland: Birkhäuser.Samper A. , Herrer B. (2014). The Fractal Pattern of the French Gothic Cathedrals. Nexus Network Journal 16, 251–271.Sedrez, M. and Pereira, A. (2012). Fractal Shape. Nexus Network Journal, 14(1), 97-107.Trivedi, K. (1989). Hindu temples: Models of a fractal universe. The Visual Computer, 5(4), 243-258.Williams, K. (2006). Architecture and Mathematics. Nexus Journal. Retrieved from http://en.wikipedia.org/wiki/Mathematics_and_architecture

Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa

Year 2019, Volume: 32 Issue: 1, 27 - 37, 01.03.2019

Abstract

Islamic
architecture represents a successful example in extracting the mathematical
proportions and the fractal geometry of the natural organisms. The Mameluke
architecture is considered a transitional stage to a more self-similar detailed
geometry presented in a diverse scale range. That was the motive behind using
the fractal geometry as a patterned grid in Mameluke designs. Therefore, this
research objective is to reveal the hidden dimensions within the fractal
geometry in Mameluke architecture with special emphasis on Al-sultan Hassan
madrasa as a case study. Fractal geometry exists within its geometry in four
levels; the internal spaces main subdivisions, floor patterns, al-muqarnas and
ornaments. Thus, the research establishes an interactive parametric model,
which has two reversible functions; First, to analyse by tracing the fractal
geometry evolution of Al-sultan Hassan madrasa layout and secondly, to apply
the fractal dimension as a design generator to more advanced fractal forms.
Al-sultan Hassan madrasa represents the likelihood of analysing and generating
further styles based on its fractal geometry. The process could be applied
supplemented with the parameters and limitations change. Hence, an infinite
number of design variations are generated based on the fractal geometry of a specific
style.

References

  • Abdelsalam, M. (2012). The use of smart geometry in Islamic patterns. (pp. 50-60). Bahrain: ASCAAD.Agha Khan. (2016). CAD drawings. Retrieved from www.archnet.org.Aish, R. (2003). Bentley’s GenerativeComponents.A design tool for exploratory architecture. smart geometry conference. London: Bentley systems institution.Al-Buzjani, A. a.-W. (Mid of the 1st century). Those Geometric Constructions Which Are Necessary for a Craftsman (manuscript in Arabic). Baghdad: limited published copies.Ben-Hamouche, M. (2011). Fractal Geometry in Muslim Cities:How Succession Law Shaped Morphology. Nexus Network Journal, 235-251.Bovill, C. (1996). Fractal gemetry in Architecture and design. Boston: Birkhauser.Broug, E. (2008). Islamic Geometric Patterns. Thames & Hudson.Celani, M. (2002). Beyond analysis and representation in CAD:a new computational approach to desi2n education. Massachusetts: MIT.Colakoglu, M. (2001). Design by Grammar: Algorithmic Design in an Architectural Context. Massachussetes: MIT.Crompton, A. (2002). Fractals and picturesque composition . Environment and Planning, 451-459.D’Arcy, T. (1942). On growth and form. Cambridge University.Dabbour, L. M. (2012). Geometric proportions: The underlying structure of design process for Islamic geometric patterns (Vol. 1). Frontiers of Architectural Research.Haider,G. and Moussa M. (2015). Explicit and Implicit Geometric Orders in Mamluk Floors: Secrets of the Sultan Hassan Floor in Cairo. In K. Williams, Architecture and mathemaics: Volume 1 (pp. 483-488). Birkhauser.Lorenz, W. E. (2011). Fractal Geometry of Architecture. In P. G. al., Biomimetics – Materials, Structures and Processes (pp. 179-199). Berlin : Springer-Verlag Berlin Heidelberg.Mandelbrot, B. (1982). The fractal Geometry of Nature. New York : W. H. Freeman.Marques and Woodbury . (2007). Managing contingency in parametric models through implicit relational modeling. CAADFutures 07 (pp. 279–288). Canada: Springer.Mirza, M. (2017, JUNE 23). https://destinationksa.com/touring-jeddahs-largest-mosque/#more-35206. Retrieved from destinationksa: https://destinationksa.com/author/mirza/page/2/Nasr, S. H. (1978). An Introduction to Islamic Cosmological Doctrines. UK: Thames and Hudson.Ostwald M.,Vaughan J. (2016). The fractal dimension of architecture. Switzerland: Birkhäuser.Samper A. , Herrer B. (2014). The Fractal Pattern of the French Gothic Cathedrals. Nexus Network Journal 16, 251–271.Sedrez, M. and Pereira, A. (2012). Fractal Shape. Nexus Network Journal, 14(1), 97-107.Trivedi, K. (1989). Hindu temples: Models of a fractal universe. The Visual Computer, 5(4), 243-258.Williams, K. (2006). Architecture and Mathematics. Nexus Journal. Retrieved from http://en.wikipedia.org/wiki/Mathematics_and_architecture
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Details

Primary Language English
Subjects Engineering
Journal Section Architecture & City and Urban Planning
Authors

Mai Abdelsalam 0000-0002-8350-0654

Mohamed Ibrahım This is me

Publication Date March 1, 2019
Published in Issue Year 2019 Volume: 32 Issue: 1

Cite

APA Abdelsalam, M., & Ibrahım, M. (2019). Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa. Gazi University Journal of Science, 32(1), 27-37.
AMA Abdelsalam M, Ibrahım M. Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa. Gazi University Journal of Science. March 2019;32(1):27-37.
Chicago Abdelsalam, Mai, and Mohamed Ibrahım. “Fractal Dimension of Islamic Architecture:The Case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa”. Gazi University Journal of Science 32, no. 1 (March 2019): 27-37.
EndNote Abdelsalam M, Ibrahım M (March 1, 2019) Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa. Gazi University Journal of Science 32 1 27–37.
IEEE M. Abdelsalam and M. Ibrahım, “Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa”, Gazi University Journal of Science, vol. 32, no. 1, pp. 27–37, 2019.
ISNAD Abdelsalam, Mai - Ibrahım, Mohamed. “Fractal Dimension of Islamic Architecture:The Case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa”. Gazi University Journal of Science 32/1 (March 2019), 27-37.
JAMA Abdelsalam M, Ibrahım M. Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa. Gazi University Journal of Science. 2019;32:27–37.
MLA Abdelsalam, Mai and Mohamed Ibrahım. “Fractal Dimension of Islamic Architecture:The Case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa”. Gazi University Journal of Science, vol. 32, no. 1, 2019, pp. 27-37.
Vancouver Abdelsalam M, Ibrahım M. Fractal Dimension of Islamic Architecture:The case of the Mameluke Madrasas - Al-Sultan Hassan Madrasa. Gazi University Journal of Science. 2019;32(1):27-3.