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Inhaltsverzeichnis
Reference
Ron Asherov: Underlying Tiles in a 15th Century Mamluk Pattern. In: Bridges 2016, Pages 167–172.
DOI
Abstract
An analysis of a 15th century Mamluk marble mosaic pattern reveals an interesting construction method. Almost invisible cut-lines prove there was an underlying pattern upon which the artisan designed the visible pattern. This construction method allowed the artisan to physically strengthen the work and make its marble tiles more stable. We identify the underlying pattern and generate other patterns using the same underlying tiles. We conclude with an exhaustive description of all such patterns.
Extended Abstract
Bibtex
@inproceedings{bridges2016:167,
author = {Ron Asherov},
title = {Underlying Tiles in a 15th Century Mamluk Pattern},
pages = {167--172},
booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
year = {2016},
editor = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
isbn = {978-1-938664-19-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
url = {http://de.evo-art.org/index.php?title=Underlying_Tiles_in_a_15th_Century_Mamluk_Pattern},
note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-167.html}}
}
Used References
[1] M. Ekhtiar, Masterpieces from the Department of Islamic Art in the Metropolitan Museum of Art, Metropolitan Museum of Art, 2011, p. 165.
[2] A. Degani, R. Asherov and P. J. Lu, "Tiles and patterns of a field: From byzantine churches to user interface design," in Proceedings of Bridges 2012: Mathematics, Music, Art, Architecture, Culture, 2012.
[3] P. G. Radaelli, Symmetry in Crystallography: Understanding the International Tables, OUP Oxford, 2011.
[4] P. J. Lu and P. J. Steinhardt, "Decagonal and quasi-crystalline tilings in medieval Islamic architecture," Science, vol. 315, no. 5815, pp. 1106-1110, 2007.
[5] H. S. M. Coxeter, Introduction to Geometry, New York: John Wiley & Sons, 1961, pp. 47-49.
[6] G. Necipoglu, The Topkapı Scroll: geometry and ornament in Islamic architecture: Topkapı Palace Museum Library MS., Getty Center for the History of Art and the Humanities, 1995.
[7] F. A. Farris, "Forbidden Symmetries," Notices of the AMS, vol. 59, no. 10, pp. 1386-1390, 2012.
Links
Full Text
http://archive.bridgesmathart.org/2016/bridges2016-167.pdf
