Abstract

Previous abstract Back to issue content Next abstract
Symmetry: Culture and Science
Volume 31, Number 2, pages 199-221 (2020)
https://doi.org/10.26830/symmetry_2020_2_199

THE POINT-JOINED TECHNIQUES IN ISLAMIC GEOMETRIC PATTERNS IN IRAN

Sam Moradzadeh1*, Ahad Nejad Ebrahimi2

1 Department of Architecture and Urbanism, Tabriz Islamic Art University, Azadi Blvd, Hakim Nizami Ganjavi Sq. Tabriz, IRAN
E-mail: sam.moradzade@gmail.com; s.moradzadeh@tabriziau.ac.ir
ORCID: 0000-0001-6221-1426

2 Department of Architecture and Urbanism, Tabriz Islamic Art University, Azadi Blvd, Hakim Nizami Ganjavi Sq. Tabriz, IRAN
E-mail: ahadebrahimi@tabriziau.ac.ir
ORCID: 0000-0001-6025-1942

* corresponding author

Abstract: The purpose of this paper is to investigate the point-joined method in Islamic geometric patterns in the Iran region and the concepts behind it. Using historical documents, interviews, and scrolls, this study introduces the different techniques for drawing various kinds of patterns. The outputs showed that both the point-joined and the Polygonal methods have strengths and weaknesses. This study effectively answers the question regarding the correlation between the great arrangement dual-level design in Darb-I-Imam and quasi-periodic order. Further studies and works are needed to establish symmetries in other sets of art and a higher level of design.

Keywords: Girih, Shahgirih, Point-joined method, Polygon in contract, Quasi-periodic

References:
Aboufadil, Y., Thalal, A., & Raghni, M. (2013) Quasiperiodic tiling in Moroccan ornamental art,. Symmetry: Culture and Science, 24(1-4), 191-204. https://doi.org/10.26830/symmetry_2013_1-4_191

Aboufadil, Y., Thalal, A., & Raghni, M. (2014) Moroccan ornamental quasiperiodic patterns constructedthe multigrid method. Journal of Applied Crystallography, 47(2), 630-641. https://doi.org/10.1107/S1600576714001691

Aboufadil, Y., et al. (2020) Comparative study between Turkish and moroccan ornamental patterns from the 11th to the 20th centuries, Symmetry: Culture and Science, 31, 2, 117-176. https://doi.org/10.26830/symmetry_2020_2_117

Ajlouni, R. (2017) An ancient rule for constructing dodecagonal quasiperiodic patterns. Paper presented at the Journal of Physics: Conference Series. https://doi.org/10.1088/1742-6596/809/1/012028

al-Būzjānī, A. (0998) Kitāb fī mā yaḥtāj ilayh al-ṣāniʿ min al-aʿmāl al-handasiyya. 40-40.

Al-Farabi, A. N. (1996). Ihsa’al-'Ulum. Translated by Ali Bu Malham. Beirut, Lebonan Dar va Maktabah al-Hilal.

Bonner, J. (2003) Three Traditions of Self-Similarity in Fourteenth and Fifteenth Century Islamic Geometric Ornament. Paper presented at the Meeting Alhambra, ISAMA-BRIDGES Conference Proceedings, Granada, Spain.

Bonner, J. (2017) Islamic geometric patterns : their historical development and traditional methods of construction.

Castera, J.-M. (2008) Arabesques for Abu Dhabi – an octagonal system, Symmetry: Culture and Science, 19, 2-3, 165-174. https://doi.org/10.26830/symmetry_2008_2-3_165

Castera, J.-M. (2016) Persian variations. Nexus Network Journal, 18(1), 223-274. https://doi.org/10.1007/s00004-015-0281-5

Castera, J.-M. (2019) TOND to TOND: Self-Similarity of Persian TOND Patterns, Through the Logic of the X-Tiles. Handbook of the Mathematics of the Arts and Sciences, 1-39. https://doi.org/10.1007/978-3-319-70658-0_58-2, https://doi.org/10.1007/978-3-319-70658-0_58-1

Cromwell, P. R. (2009) The Search for Quasi-Periodicity in Islamic 5-fold Ornament. The Mathematical Intelligencer, 31(1), 36-56. https://doi.org/10.1007/s00283-008-9018-6

Dan, S., Ilan, B., Denis, G., & Cahn, J. W. (1984) Metallic phase with long-range orientational order and no translational symmetry. Physical review letters, 53(20), 1951-1951. https://doi.org/10.1103/PhysRevLett.53.1951

Grünbaum, B., & Shephard, G. C. (1987) Tilings and patterns. 1987. In (pp. 495-495). New York: WH Freeman & co.

Hankin, E. H. (1925) The drawing of geometric patterns in Saracenic art. Calcutta :: Govt. of India Central Publication Branch.

Helli, A. (1986) Girihs and arches in Islamic architecture. Kashan: Salem.

Kaplan, C. S. (2002) Computer Graphics and Geometric Ornamental Design.

Kheirandish, E. (2006) Organizing scientific knowledge: the ‘mixed’sciences in early classifications. Organizing knowledge: Encyclopaedic activities in the preeighteenth century Islamic world, 135-154.

Kheirandish, E. (2013). The Mixed Mathematical Sciences: Optics and Mechanics in the Islamic Middle Ages. The Cambridge History of Science, 2, 84-108. https://doi.org/10.1017/CHO9780511974007.005

Lu, P. J., & Steinhardt, P. J. (2007) Decagonal and quasi-crystalline tilings in medieval Islamic architecture. Science (New York, N.Y.), 315(5815), 1106-1110. https://doi.org/10.1126/science.1135491

Maheronnaqsh, M. (1984) Design and Execution in Persian Ceramics. Reza Abbasi Museum Press, Tehran.

Makovicky, E. (1989) Ornamental brickwork. Computers & Mathematics with Applications, 17(4-6), 955-999. https://doi.org/10.1016/0898-1221(89)90271-X

Makovicky, E. (1992) 800-Year-Old Pentagonal Tiling From Marāgha, Iran, And The New Varieties Of Aperiodic Tiling It Inspired. In (pp. 67-86): World Scientific. https://doi.org/10.1142/9789814439497_0004

Makovicky, E. (2009) Another look at the Blue Tomb of Maragha, a site of the first quasicrystalline Islamic pattern. Symmetry: Culture and Science, 19, 127-151. https://doi.org/10.26830/symmetry_2009_2_127

Makovicky, E., & Makovicky, N. M. (2011) The first find of dodecagonal quasiperiodic tiling in historical Islamic architecture. Journal of Applied Crystallography, 44(3), 569-573. https://doi.org/10.1107/S0021889811013744

Makovicky, E. (2015) In the footsteps of Maragha – Ornamental panels in the madrasas and mosques of Esfahan, Konya, Agra, Sivas and Yazd, Symmetry: Culture and Science, 26, 4, 421-441. https://doi.org/10.26830/symmetry_2015_4_421

Mofid, H., & Raieszadeh, M. (1995) Revival of the forgotten arts: principles of the traditional architecture in Iran according to Hossein Lorzadeh: Mola Publications, Tehran, Iran.

Necipoğlu, G. l. (1995) The Topkapı scroll : geometry and ornament in Islamic architecture : Topkapı Palace Museum Library MS H. 1956. Santa Monica: Getty Center for the History of Art and the Humanities.

Necipoğlu, G. l. (2017) The Arts of Ornamental Geometry: Brill. https://doi.org/10.1163/9789004315204

Özdural, A. (1995) Omar Khayyam, mathematicians, and" conversazioni" with artisans. Journal of the Society of Architectural Historians, 54(1), 54-71. https://doi.org/10.2307/991025

Özdural, A. (1996) On interlocking similar or corresponding figures and ornamental patterns of cubic equations. Muqarnas, 13, 191-211. https://doi.org/10.1163/22118993-90000364, https://doi.org/10.2307/1523259

Özdural, A. (2000) Mathematics and Arts: Connections between Theory and Practice in the Medieval Islamic World. Historia Mathematica, 27(2), 171-201. https://doi.org/10.1006/hmat.1999.2274

Rashed, R. (2013) Ibn al-Haytham's Theory of Conics, Geometrical Constructions and Practical Geometry: Routledge. https://doi.org/10.4324/9780203597705

Rempel, L. I., & Pugachenkova, G. A. e. (1961) Arkhitekturnyĭ ornament Uzbekistana.

Sarhangi, R. (2008) Modules and modularity in mosaic patterns. Symmetry: Culture and Science, 19, 2-3, 153-163. https://doi.org/10.26830/symmetry_2008_2-3_153

Sarhangi, R. (2010) Making Modules For Mosaic Designs. Symmetry: Culture and Science, 21, 4, 381-392. https://doi.org/10.26830/symmetry_2010_4_381

Sarhangi, R. (2012) Interlocking Star Polygons in Persian Architecture: The Special Case of the Decagram in Mosaic Designs. Nexus Network Journal, 14(2), 345-372. https://doi.org/10.1007/s00004-012-0117-5

Shaarbaf, A. (1982) Ghirih and karbandi. Tehran: The National Organization for Protection of Iran’s Antiquities.

Shechtman, D., Blech, I., Gratias, D., & Cahn, J. W. (1984) Metallic phase with long-range orientational order and no translational symmetry, Physical review letters, 53(20), 1951. https://doi.org/10.1103/PhysRevLett.53.1951

Previous abstract Back to issue content Next abstract