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References
R. A. al Ajlouni, “The global long-range order of quasi-periodic patterns in Islamic architecture,” Acta Crystallographica A 68 (2012) 235–243.
E. Baer, Islamic Ornament, Edinburgh University Press, Edinburgh, 1998.
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), R. Sarhangi and N. Friedman, eds. 2003, pp. 1–12.
J.-M. Castéra, Arabesques: Art Décoratif au Maroc, ACR Edition, Paris, 1996.
P. R. Cromwell, “The search for quasi-periodicity in Islamic 5-fold ornament,” Math. Intelligencer 31 no 1 (2009) 36–56.
P. R. Cromwell, “Hybrid 1-point and 2-point constructions for some Islamic geometric designs,” J. Math. and the Arts 4 (2010) 21–28.
P. R. Cromwell, “Islamic geometric designs from the Topkapı Scroll II: a modular design system,” J. Math. and the Arts 4 (2010) 119–136.
P. R. Cromwell, “A modular design system based on the Star and Cross pattern,” J. Math. and the Arts 6 (2012) 29–42.
P. R. Cromwell, “Modularity and hierarchy in Persian geometric ornament,” preprint 2013. http://www.liv.ac.uk/∼spmr02/ islamic/.
P. R. Cromwell and E. Beltrami, “The whirling kites of Isfahan: geometric variations on a theme,” Math. Intelligencer 33 no 3 (2011) 84–93.
R. Elwes, Maths in 100 Key Breakthroughs, Quercus, New York, 2013.
B. Goldacre, Bad Science, Fourth Estate, London, 2008.
B. Grünbaum and G. C. Shephard, Tilings and Patterns, W. H. Freeman, New York, 1987.
B. Grünbaum and G. C. Shephard, “Interlace patterns in Islamic and Moorish art,” Leonardo 25 (1992) 331–339. Reprinted in The Visual Mind: Art and Mathematics, ed. M. Emmer, MIT Press, Cambridge, 1993, pp. 147–155.
A. J. Lee, “Islamic star patterns,” Muqarnas IV: An Annual on Islamic Art and Architecture, O. Grabar, ed. E. J. Brill, Leiden, 1987, pp. 182–197.
D. Levine and P. J. Steinhardt, “Quasicrystals I: definition and structure,” Physical Review B 34 (1986) 596–616.
P. J. Lu and P. J. Steinhardt, “Decagonal and quasi-crystalline tilings in medieval Islamic architecture,” Science 315 (23 Feb 2007) 1106–1110.
R. Lück, “Penrose sublattices,” J. Non-Crystalline Solids 117–118 (1990) 832–835.
E. Makovicky, “800-year old pentagonal tiling from Maragha, Iran, and the new varieties of aperiodic tiling it inspired,” Fivefold Symmetry, I. Hargittai, ed. World Scientific, Singapore, 1992, pp. 67–86.
E. Makovicky and P. Fenoll Hach-Alí, “Mirador de Lindaraja: Islamic ornamental patterns based on quasi-periodic octagonal lattices in Alhambra, Granada, and Alcazar, Sevilla, Spain,” Boletín Sociedad Española Mineralogía 19 (1996) 1–26.
E. Makovicky and P. Fenoll Hach-Alí, “The stalactite dome of the Sala de Dos Hermanas—an octagonal tiling?,” Boletín Sociedad Española Mineralogía 24 (2001) 1–21.
E. Makovicky and N. M. Makovicky, “The first find of dodecagonal quasiperiodic tiling in historical Islamic architecture,” J. Applied Crystallography 44 (2011) 569–573.
E. Makovicky, F. Rull Pérez and P. Fenoll Hach-Alí, “Decagonal patterns in the Islamic ornamental art of Spain and Morocco,” Boletín Sociedad Española Mineralogía 21 (1998) 107–127.
I. El-Said and A. Parman, Geometric Concepts in Islamic Art, World of Islam Festival Publishing Company, London, 1976.
R. Schekman, “How journals like Nature, Cell and Science are damaging science,” The Guardian, 9 Dec 2013.
J. E. S. Socolar, T. C. Lubensky, and P. J. Steinhardt, “Phonons, phasons, and dislocations in quasicrystals,” Physical Review B 34 (1986) 3345–3360.
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Cromwell, P.R. Cognitive Bias and Claims of Quasiperiodicity in Traditional Islamic Patterns. Math Intelligencer 37, 30–44 (2015). https://doi.org/10.1007/s00283-015-9538-9
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DOI: https://doi.org/10.1007/s00283-015-9538-9