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Art and Mithāl: Reading Geometry as Visual Commentary

Published online by Cambridge University Press:  01 January 2022

Carol Bier*
Affiliation:
The Textile Museum, Washington, DC, USA

Abstract

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.

Type
Articles
Copyright
Copyright © Association For Iranian Studies, Inc 2008

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References

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), 6778Google 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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23 Tabbaa, Transformation, 5, 75; see also n.24 below.

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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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48 Corbin, Henri, Mundus Imaginalis or the Imaginary and the Imaginal (London, 1976)Google Scholar; see also Rahman, Fazlur, “Dream, Imagination, and ‘Alam al-Mithal,” Islamic Studies: Journal of the Central Institute of Islamic Research, Karachi, 3/2 (1964): 167180Google Scholar.

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50 Corbin, Mundus Imaginalis, 10.

51 Corbin, Mundus Imaginalis, 9.

52 Fakhry, Majid, Islamic Occasionalism and its Critique by Averroes and Aquinas (London, 1958), 9Google Scholar.

53 Roshdi Rashed situates these mathematical developments between algebra and arithmetic, and between algebra and geometry; see Rashed, Roshdi, The Development of Arabic Mathematics: Between Arithmetic and Algebra, trans. by Armstrong, A. F. W. (Dordrecht and Boston, c.1994), 3CrossRefGoogle Scholar.

54 See Corbin, Mundus Imaginalis.