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		<title>The Planar Space Groups of Mamluk Patterns - Versionsgeschichte</title>
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		<title>Gbachelier: Die Seite wurde neu angelegt: „== Reference == B. Lynn Bodner: The Planar Space Groups of Mamluk Patterns. In: Bridges 2014. Pages 35–42   == DOI ==  == Abstract == In the region e…“</title>
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				<updated>2015-01-27T13:34:52Z</updated>
		
		<summary type="html">&lt;p&gt;Die Seite wurde neu angelegt: „== Reference == B. Lynn Bodner: &lt;a href=&quot;/index.php?title=The_Planar_Space_Groups_of_Mamluk_Patterns&quot; title=&quot;The Planar Space Groups of Mamluk Patterns&quot;&gt;The Planar Space Groups of Mamluk Patterns&lt;/a&gt;. In: &lt;a href=&quot;/index.php?title=Bridges_2014&quot; title=&quot;Bridges 2014&quot;&gt;Bridges 2014&lt;/a&gt;. Pages 35–42   == DOI ==  == Abstract == In the region e…“&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Neue Seite&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Reference ==&lt;br /&gt;
B. Lynn Bodner: [[The Planar Space Groups of Mamluk Patterns]]. In: [[Bridges 2014]]. Pages 35–42 &lt;br /&gt;
&lt;br /&gt;
== DOI ==&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
In the region extending from Arabia to Southern Anatolia, elaborate geometric tilings and patterns still cover the walls,&lt;br /&gt;
floors and ceilings of extant monuments from the Mamluk period (1250 – 1517). These planar Islamic patterns may be&lt;br /&gt;
classified as belonging to the various two-dimensional space groups based on the distance-preserving transformations&lt;br /&gt;
or isometries of the plane (translations, rotations, reflections and glide-reflections) that they possess. Classifying the&lt;br /&gt;
ornamental patterns of these Mamluk monuments allows us to determine which symmetries were preferred and&lt;br /&gt;
intuitively recognized as being “right” by the Mamluk culture. This paper will discuss and illustrate examples of the&lt;br /&gt;
different wallpaper groups represented in the Mamluk art found in present day Egypt and Syria.&lt;br /&gt;
&lt;br /&gt;
== Extended Abstract ==&lt;br /&gt;
&lt;br /&gt;
== Bibtex == &lt;br /&gt;
&lt;br /&gt;
== Used References ==&lt;br /&gt;
[1] D. Ayalon. Studies on the Mamluks of Egypt (1250 – 1517). Variorum Reprints, 1977. Original from&lt;br /&gt;
the University of Michigan. Digitized September 11, 2008.&lt;br /&gt;
&lt;br /&gt;
[2] D. Behrens-Abouseif. Cairo of the Mamluks: A History of the Architecture and Its Culture. New&lt;br /&gt;
York: I. B. Tauris, 2007.&lt;br /&gt;
&lt;br /&gt;
[3] B. L. Bodner. “The Planar Crystallographic Groups Represented at the Alhambra,” Bridges:&lt;br /&gt;
Mathematical Connections in Art, Music, and Science Conference Proceedings, (2014).&lt;br /&gt;
&lt;br /&gt;
[4] W. K. Chorbachi. In the Tower of Babel: Beyond Symmetry in Islamic Art. Computers &amp;amp; Mathematics&lt;br /&gt;
with applications, Vol. 17b, pp. 751 – 189, (1989).&lt;br /&gt;
&lt;br /&gt;
[5] the Islamic Art and Architecture Collection of the ARTstor Digital Library, available at&lt;br /&gt;
http://www.library.artstor.org/library.&lt;br /&gt;
&lt;br /&gt;
[6] B. Lewis, R. Ettinghausen, O. Grabar, &amp;amp; R. M Savory. The World of Islam: Faith, People, Culture.&lt;br /&gt;
Thames and Hudson, 1992.&lt;br /&gt;
&lt;br /&gt;
[7] The Mamluk Collection of the Archnet Digital Library, available at http://archnet.org/library.&lt;br /&gt;
&lt;br /&gt;
[8] E. A. Müller, Gruppentheoretische und Strukturanalytische Untersuchungen der Maurischen&lt;br /&gt;
Ornamente aus der Alhambra in Granada, University of Zürich, 1944.&lt;br /&gt;
&lt;br /&gt;
[9] Pattern in Islamic Art: The Wade Photo Archive, available at http://www.patternsinislamicart.com.&lt;br /&gt;
&lt;br /&gt;
[10] D. Schattschneider, The Plane Symmetry Groups: Their Recognition and Notation, Amer. Math.&lt;br /&gt;
Monthly (85) 1978, 439 – 450.&lt;br /&gt;
&lt;br /&gt;
[11] Thesaurus Islamicus Foundation Islamic Art Network Photo Archive, available at http://www.islamic-art.org/PhotoArchive/.&lt;br /&gt;
&lt;br /&gt;
[12] D. K. Washburn and D.W. Crowe, Symmetries of Culture: Theory and Practice of Plane Pattern Analysis. University of Washington Press, 1988.&lt;br /&gt;
&lt;br /&gt;
[13] http://www.discoverislamicart.org/database_item.php?id=monument;ISL;pa;Mon01;13;en.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
=== Full Text === &lt;br /&gt;
http://archive.bridgesmathart.org/2014/bridges2014-35.pdf&lt;br /&gt;
&lt;br /&gt;
[[intern file]]&lt;br /&gt;
&lt;br /&gt;
=== Sonstige Links ===&lt;br /&gt;
http://archive.bridgesmathart.org/2014/bridges2014-35.html&lt;/div&gt;</summary>
		<author><name>Gbachelier</name></author>	</entry>

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