Technical Comments

Response to Comment on "Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture"

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Science  30 Nov 2007:
Vol. 318, Issue 5855, pp. 1383
DOI: 10.1126/science.1146352

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Our study showed that both Gunbad-i Kabud and Darb-i Imam tessellations belong to a sequence of Islamic tilings that resolve into a common set of girih tiles, so local similarities are expected. However, historically accurate reconstructions show that Darb-i Imam is unique, the only known example that does not repeat periodically and that displays a self-similar transformation enabling its continuation ad infinitum to a perfect quasi-crystalline pattern.

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