Application of a multi-stage fractal method in analysis masterpieces of Islamic architecture – Ahmad Shah Mosque
No. 3 (10) (2018), Eurasian Heritage
No. 3 (10) (2018)

Application of a multi-stage fractal method in analysis masterpieces of Islamic architecture – Ahmad Shah Mosque

Eurasian Heritage
УДК 72.01 DOI: https://doi.org/10.25712/ASTU.2518-7767.2018.03.003
Published 2018-09-30
Khalid D. Aldeen Ismail
University of Mosul

eLibrary ID Khalid_jammal@yahoo.com

Mikhail Yuryevich Shishin
Russian Academy of Arts; Altai State Technical University

eLibrary ID shishinm@gmail.com

https://orcid.org/0000-0002-2148-5233

№ 3 (10) 2018 "Искусство Евразии", научный журнал об искусстве.
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Keywords

fractality, fractal architecture, fractal dimension,

How to Cite

Ismail K. D. A., Shishin M. Y. Application of a multi-stage fractal method in analysis masterpieces of Islamic architecture – Ahmad Shah Mosque // The Art of Eurasia, 2018. № 3 (10). P. 37-47. URL: https://doi.org/10.25712/ASTU.2518-7767.2018.03.003.
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Abstract

This paper presents approaches to the fractal analysis of architectural monuments basing on the box counting dimension method (DB) and the spatial coherence of the basic and artistic characteristics (plan, elevation & section). It is verified by the example of fractal coherence in Islamic architectural monuments (Mosque of Ahmad Shah in Istanbul). A direct dependence of a high degree of fractality of the two monuments is substantiated on its artistic and aesthetic features. For the first time carried out a study based on fractal theory to these outstanding monuments of Islamic architecture. The work aims at further investigation of fractal theory in relationship with the architectural objects.

https://doi.org/10.25712/ASTU.2518-7767.2018.03.003

References

  1. Babich V.N., Kremlev A.G. O fraktal'nykh modelyakh v arkhitekture [On fractal models in architecture]. Arkhitekton – Architecton, 2010, No. 30. Available at: http://archvuz.ru/numbers/2010_2/07 (accessed at: 16/04/2018).
  2. Voloshinov A.V. Matematika i iskusstvo [Mathematics and art]. Moscow, Prosveshchenie, 2000.
  3. Vsemirnaya istoriya arkhitektury v 12 tomakh [World History of Architecture in 12 volumes. Ed. N. V. Baranova]. Moscow, Publishing house of literature on construction, 1969, vol. 8.
  4. Ibragimov I.A. Formirovanie arkhitektury khristianstva i islama kak vyrazhenie ponyatiya sistemy koordinat v vizual'no-orientatsionno-smyslovom prostranstve [Formation of the architecture of Christianity and Islam as an expression of the concept of a coordinate system in a visual-orientational-semantic space]. Arkhitekton – Architecton, 2008, No. 23. Available at: http://archvuz.ru/numbers/2009_2/ta7 (accessed 16.04.2018).
  5. Isaeva V.V., Kas'yanov N.V. Fraktal'nost' prirodnykh i arkhitekturnykh form [Fractality of natural and architectural forms]. Kul'tura: vestnik Dal'nevostochnogo otdeleniya RAN – Culture: the bulletin of the Far-Eastern branch of the Russian Academy of Sciences, 2006, No. 5.
  6. Ismail Kh.D.A., Shishin M.Yu. Obosnovanie fraktal'nogo metoda analiza pamyatnikov arkhitektury [Substantiation of the fractal method of analysis of architectural monuments]. Vestnik Altaiskogo gosudarstvennogo tekhnicheskogo universiteta – Bulletin of the Altai State Technical University, 2011, No.1-2, pp. 27-30.
  7. Korobko V.I. Zolotaya proportsiya i problemy garmonii system [Golden proportions and problems of harmony of systems]. Moscow, Publisher ASV, 1998.
  8. Korobko V.I., Korobko G.N. Zolotaya proportsiya i chelovek [A golden proportion and a person]. Moscow, Publisher ASV, 2002.
  9. Mandel'brot B. Fraktal'naya geometriya prirody [Fractal geometry of nature]. Moscow, 2002.
  10. Description of mathematical functions in Microsoft Excel. Available at: http://office.microsoft.com/ru-ru/excel-help/HP010342332.aspx?CTT=5&origin= HP010342920 (accessed 16.04.2018).
  11. Tits A.A. Zagadki drevnerusskogo chertezha [Mysteries of the Old Russian drawing]. Moscow, Stroiizdat Publ., 1978.
  12. Shevelev I.Sh., Marutaev M.A., Shmelev I.P. Zolotoe sechenie: tri vzglyada na prirodu garmonii [Golden Section: Three views on the nature of harmony]. Moscow, Sroiizdat Publ., 1990.
  13. Bovill C. Fractal geometry in architecture and design. Bosten: Birkh?user, 1996, 73-92 p.
  14. Lorenz W. E. Fractal and fractal architecture. Vienna, 2003. At: Department of computer aided planning and architecture: site Vienna University of Technology. Available at: www.fractalarchitect.com (accessed 12.01.2017).
  15. Salingaros N.A., Michael A., Mehaffy W. Architecture, patterns and mathematics. In: A theory of architecture. Сh. 6. Solingen: Umbau-Verlag, 2006.
  16. Karperien A., Sturt C. The FracLac [Electronic resource]. School of Community Health, Faculty of Science: electron site. Australia, 2007. Available at: http://rsb.info.nih.gov/ij/plugins/fraclac/FLHelp/TheoryStartUpScreen.htm (accessed 16.04.2018).
  17. Bovill C. Fractal geometry in architecture and design. – Bosten: Birkh?user, 1996, 73-92 p.
  18. Lorenz W. E. Fractal and fractal architecture // Department of computer aided planning and architecture: site Vienna University of Technology. – Vienna, 2003. [Электронный ресурс] URL: www.fractalarchitect.com (дата обращения 12.01.2017).
  19. Salingaros N.A., Michael A., Mehaffy W. Architecture, patterns and mathematics // A theory of architecture. Сh. 6. – Solingen: Umbau-Verlag, 2006.
  20. Karperien A., Sturt C. The FracLac [Electronic resource] // School of Community Health, Faculty of Science: electron site. Australia, 2007. [Электронный ресурс] URL: http://rsb.info.nih.gov/ij/plugins/fraclac/FLHelp/TheoryStartUpScreen.htm (16.04.2018).

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