رسم گره هندسی ( هنر سنتی ایران زمین )

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Traditional Iranian art

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هنر های سنتی ایران و هنر اسلامی
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بلور را برای نسل بعدی: میراث IYCr
حسن دوم آکادمی علوم و فناوری، رباط، مراکش


MATHEMATICAL MOSAICS ISLAMIC ART AND QUASICRYSTALS

Metin ARIK Bogazici University, Istanbul Talk given at Crystallography for the next generation: the legacy of IYCr Hassan II Academy of Science and Technology, Rabat, Morocco 23 April 2015 Mathematical Mosaics, Islamic Art and Quasicrystals The use of local fivefold symmetry in Islamic tilings started in the 11th century.

Traditional Iranian art

Traditional Iranian art

Examples of such tilings are discussed and the rules employed in these tilings are presented.

It is demonstrated how a periodic pattern can be transformed into a locally aperiodic Penrose tiling pattern which most efficiently solves the difficult problem of the mathematical aperiodic tiling. Most remarkably, these tilings match with crystal diffraction patterns which exhibit fivefold symmetry. Inevitably, this topic reminds us of the flowering of scientific brilliance in Islam from the ninth to the thirteenth century—a period often described as the “golden age” of Islamic science. This is a diffraction pattern of a real 3D quasicrystal. For a 3D crystal, the diffraction pattern is also three dimensional. All of the rendered images here are for 2D quasicrystals with 2D diffraction patterns.

link

http://spacecollective.org/michaelerule/5810/Quasicryst

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