DOI QR코드

DOI QR Code

Al-Kāshī's Pointed Arch Drawing and Curved Structure of the Timurid Architecture

알 카시의 첨두아치 작도와 티무르조 건축의 곡면구조

  • 최남섭 (서울대학교 건설환경종합연구소)
  • Received : 2023.06.09
  • Accepted : 2023.09.04
  • Published : 2023.10.31

Abstract

The study aims to analyze the geometric characteristics of the pointed arches proposed by Al-Kāshī in his book "Miftāḥ al-Ḥisāb" (Key of Arithmetic) and investigate their planning principles, architectural application, and typological characteristics. Al-Kāshī completed this significant work in 1427 and dedicated it to Ulugh Beg, a Timurid Sultan in Samarkand. In the ninth chapter, titled "Al-'Imārāt wa al-Abnīya" (Amīr's Mansion and Building), Al-Kāshī sought to measure the surface areas and volumes of barrel vaults (Azaj) and domes (Qubba). To achieve this, he proposed five kinds of pointed arches (Ṭāq) and analyzed their drawing methods and composition principles. The Īwān and Qubba structures, which are curved architectural elements, hold significant importance in Islamic architecture. However, previous research has predominantly focused on comparing the drawings in Al-Kāshī's book with historical buildings, neglecting the inherent characteristics of the drawings themselves. This study intends to contribute to a deeper understanding of Al-Kāshī's remarkable work and shed light on the geometric aspects of monumental structures in the Timurid Period.

Keywords

Acknowledgement

이 성과는 정부(과학기술정보통신부)의 재원으로 한국연구재단의 지원을 받아 수행했으며(No. RS-2023-00244493), 2022년 한국건축역사학회 추계학술발표대회에서 발표한 내용을 보완한 연구이다.

References

  1. 고마츠 히사오 외 씀, 이평래 역, 「중앙유라시아의 역사」, 고양, 소나무, 2005 
  2. 디미트리 구타스 지음, 정영목 옮김, 「그리스 사상과 아랍 문명」, 파주, 글항아리, 2013 
  3. 박인석 지음, 「건축 생산 역사1」, 서울, 마티, 2022 
  4. 이주연, 「15세기 티무르조의 수학자 알 카시와 이슬람 수학의 전통」, 「2022년 한국건축역사학회 추계학술발표대회논문집」, 2022. 11 
  5. 이주연, 「티무르조의 화폐 제도 재고(再考)」, 「아시아리뷰」, 제11권 제1호, 통권 21호, 2021 
  6. Abu Abdallah Mohammed ben Musa of Khowarezm, The Alegebra of Mohammed ben Musa, Frederic Rosen ed. & Eng. tr., London, The Oriental Translation Fund, 1831 
  7. A. Godard, The Art of Iran, M. Heron Eng. tr., New York and Washington, Feredrick A. Prraeger, 1965 
  8. Al-Kashi, Al-Kashi's Miftah al-Hisab, Volume I: Arithmetic, N. Aydin, & L. Hammoudi Eng. tr., Switzerland, Birkhauser, 2019 
  9. Al-Kashi, Al-Kashi's Miftah al-Hisab Al-Kashi's Miftah al-Hisab, Volume I I: Geometry, N. Aydin, L. Hammoudi, & Gh. Bakbouk Eng. tr., Switzerland, Birkhauser, 2021 
  10. Al-Kashi, Al-Kashi's Miftah al-Hisab, Al-Kashi's Miftah al-/hisab, Volume III: Geometry, N. Aydin, L. Hammoudi, & Gh. Bakbouk Eng. tr., Switzerland, Birkhauser, 2022 
  11. Alpay Ozdural, Omar Khayyam, Mathematicians, and "Conversazioni" with Artisans, Journal of the Society of Architectural Historians, Vol. 54, No. 1, Mar. 1995 
  12. A. N. Ebrahimi, & M. Tooranpoor, Wakawi-i Hendese be Kar rafte dar Madrassa-i Ghiaithiye-i Khargerd ba Takid bar Hendesse-i 'Amalli-i Abu al-ufa Buzjani, Journal of Architecture and Urban Planning, Vol. 13, Issue 31, Summer 2021
  13. A. U. Pope ed., A Survey of Persian Art. Vol. 3, London and New York, 1938-9, Tehran, Manafzadeh Group, reissue 1964/5 
  14. C. E. Bosworth, & et al., The Encyclopaedia of Islam (New Edition), Vol. VII, Leiden and New York, E. J. Brill, 1993 
  15. E. S. Kennedy, Al-Kashi's "Plate of Conjunctions", Isis, Vol. 38, No. 1/2, Nov. 1947 
  16. Ghiyath al-Din Jamshid Kashani, Az Samarqand be Kashan: Nameha-i Ghiyath al-Din Jamshid Kashani be Pedaresh, M. Bagheri ed., Tehran, Scientific & Cultural Publications, 1996 
  17. Ghiyath al-Din Jamshid Kashani, Miftah al-Hisab: Risaleh-i Taq wa Azaj, Said 'Alireẓa Jeẓbi Per. tr. & ed., Tehran, Soroush, 1987/8 
  18. Igor Demchenko, Heritage of the Red Orient: Theories and P ractices of Architectural Restoration in Soviet Central Asia 1920-1991), Ph. D. dissertation, Massachusetts Institute of Technology, Sep. 2015 
  19. Jafar Taheri, Mathematical Knowledge of Architecture in the Works of Kashani, Nexus Network Journal, Vol. 11, No. 1, 2009 
  20. K. A. C. Creswell, The Muslim Architecture of Egypt, Vol. II, New York, Hacker Art Books, 1958/1978 
  21. L. Golombek, & D. Wilber, The Timurid Architecture of Iran and Turan, vol. 1, Princeton and New Jersey, Princeton University Press, 1988 
  22. Mahmud Fakhuri, Mausua't wa Hadat al-Qias al-A'rabiyat wa al-Islamiyat wa Mayua'adiha Balimqadir al-Hadishat, Beirut, Maktab Lubnan Nashirun, 2002 
  23. Maryam Ashkan, & Yahaya Ahmad, Discontinuous Double-shhell Domes through Islamic eras in the Middle East and Central Asia: History, Morphology, Typologies, Geometry, and Construction, Nexus Network Journal, Vol. 12, No. 2, 2010 
  24. M. S. Bulatov, Геометрическая организация в архитектуре Средней Азии IX-XV веков, Moscow, Наука. 1988 
  25. Raymond Tennant, Islamic Constructions: The Geometry N eeded by Craftsmen, BRIDGEs - Mathematical Connections in Art, Music, and Science, 2003 
  26. S. Ghannam, & H. Najm, Structural Performance of Two-Hinged Islamic Arches, Journal of Engineering and Architecture, Vol. 3, No. 1, June 2015 
  27. Sharaf al-Din 'Ali Yazdi, Zafarnama (Sharaf al-Din 'Ali Yazdi, Zafarnama-i Sharaf al-Din 'Ali Yazdi, Sayyid S'aid Mir Muhammad Sadiq ed., Tehran, Markaz-i Asnad Majlis, 2008/9) 
  28. Yvonne Dold-Samplonius, Practical Arabic Mathematics: Measuring the Muqarnas by al-Kashi, Centaurus, Vol. 35, 1992