Published online by Cambridge University Press: 01 January 2022
This article seeks to develop an interpretation of ornament as geometric pattern that embodies metaphysical intent in Iranian monuments of the fifth/eleventh century. The proposed argument elucidates cultural meaning relevant to a particular time and specific place, with implications for broader application.1 Reading geometric patterns as visual commentary, this approach relates the presence of patterns in art accompanied by a Qur'anic inscription to both the practice of pattern-making and the contemporary discourse concerning mathematics, philosophy, and the Islamic sciences in Iran. Particular emphasis is placed on the use of a passage from the Qur'an (59:21–24) inscribed on the tomb towers at Kharraqān, in which the Qur'anic term, amthāl, is taken literally to refer to the patterns executed on the monuments.
1 An initial attempt to present these ideas appears in Bier, Carol, “Geometric Patterns and the Interpretation of Meaning: Two Monuments in Iran,” in Bridges: Mathematical Connections in Art, Music, and Science (conference proceedings), ed. by Sarhangi, Reza (Towon, MD, 2002), 67–78Google Scholar, with further development of a new paradigm presented at the College Art Association Annual Meetings in New York in February 2007 in a paper, “From Textiles to Algorithms: Revising an Islamic Aesthetic Paradigm.” The proposed paradigm is elaborated by Carol Bier, “Number, Shape, and the Nature of Space: Thinking through Islamic Art,” in Oxford Handbook for the History of Mathematics, ed. by Eleanor Robson and Jacqueline Stedall (Oxford, in press).
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5 Bier, Carol, “Choices and Constraints: Pattern Formation in Oriental Carpets,” Forma (Journal of the Society for the Science of Form, Japan), 15/2 (2000): 127–132Google Scholar [Proceedings of the 2nd International Katachi U Symmetry Symposium (Tsukuba, 1999), Part 3].
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30 See Özdural, “Mathematics and Arts”; and Reza Sarhangi in this issue of Iranian Studies.
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37 Most recently, Oleg Grabar, The Dome of the Rock (Cambridge, 2006); see also Dodd and Khairallah, The Image of the Word, 19–26.
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47 For discussion relating Avicenna's commentary on the Light Verse and the play of light at Kharraqān, see Bier, “Geometric Patterns and the Interpretation of Meaning,” 9.
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50 Corbin, Mundus Imaginalis, 10.
51 Corbin, Mundus Imaginalis, 9.
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