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The Whirling Kites of Isfahan: Geometric Variations on a Theme

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References

  1. N. Assarzadegan, ‘Dividing and composing the squares’, Lamar University Electronic Journal of Student Research, Fall, 2008. Also in History and Pedagogy of Mathematics Newsletter 68 (July 2008) 13–20.

  2. J. Bourgoin, Les Eléments de l’Art Arabe: Le Trait des Entrelacs, Firmin-Didot, Paris, 1879. Plates reprinted in Arabic Geometric Pattern and Design, Dover Publications, New York, 1973.

  3. J. Bonner, ‘Three traditions of self-similarity in fourteenth and fifteenth century Islamic geometric ornament’, Proc. ISAMA/Bridges: Mathematical Connections in Art, Music and Science, (Granada, 2003), eds. R. Sarhangi and N. Friedman, 2003, pp. 1–12.

  4. P. R. Cromwell, ‘The search for quasi-periodicity in Islamic 5-fold ornament’, Math. Intelligencer 31 no 1 (2009) 36–56.

    Article  MathSciNet  MATH  Google Scholar 

  5. P. R. Cromwell, ‘Islamic geometric designs from the Topkapi Scroll I: Unusual arrangements of stars’, J. Math. and the Arts 4 (2010) 73–85.

    Article  MathSciNet  MATH  Google Scholar 

  6. P. R. Cromwell, ‘Islamic geometric designs from the Topkapi Scroll II: A modular design system’, J. Math. and the Arts 4 (2010) 119–136.

    Article  MathSciNet  MATH  Google Scholar 

  7. E. H. Hankin, The Drawing of Geometric Patterns in Saracenic Art, Memoirs of the Archaeological Society of India, no 15, Government of India, 1925.

  8. C. S. Kaplan, ‘Computer generated Islamic star patterns’, Proc. Bridges: Mathematical Connections in Art, Music and Science, (Kansas, 2000), ed. R. Sarhangi, 2000, pp. 105–112.

  9. C. S. Kaplan, ‘Islamic star patterns from polygons in contact’, Graphics Interface 2005, ACM International Conference Proceeding Series 112, 2005, pp. 177–186.

  10. P. J. Lu and P. J. Steinhardt, ‘Decagonal and quasi-crystalline tilings in medieval Islamic architecture’, Science 315 (23 Feb 2007) 1106–1110.

    Article  MathSciNet  Google Scholar 

  11. E. Makovicky, ‘800-year old pentagonal tiling from Maragha, Iran, and the new varieties of aperiodic tiling it inspired’, Fivefold Symmetry, ed. I. Hargittai, World Scientific, 1992, pp. 67–86.

  12. G. Necipoğlu, The Topkapi Scroll: Geometry and Ornament in Islamic Architecture, Getty Center Publication, Santa Monica, 1995.

    Google Scholar 

  13. A. Özdural, ‘Mathematics and arts: connections between theory and practice in the medieval Islamic world’, Historia Mathematica 27 (2000) 171–201.

    Article  MathSciNet  MATH  Google Scholar 

  14. G. Potter, http://www.kufic.info/.

  15. H. Stierlin, Islamic Art and Architecture from Isfahan to the Taj Mahal, Thames and Hudson, London, 2002.

    Google Scholar 

  16. D. Sutton, Islamic Design: A Genius for Geometry, Wooden Books Ltd, Glastonbury, 2007.

    Google Scholar 

  17. D. Wade, Pattern in Islamic Art: The Wade Photo-Archive, http://www.patterninislamicart.com/.

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Cromwell, P.R., Beltrami, E. The Whirling Kites of Isfahan: Geometric Variations on a Theme. Math Intelligencer 33, 84–93 (2011). https://doi.org/10.1007/s00283-011-9225-4

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