http://de.evo-art.org/index.php?action=history&feed=atom&title=The_Topkap%C4%B1_Scroll%27s_Thirteen-Pointed_Star_Polygon_Design 2026-04-18T14:09:15Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=The_Topkap%C4%B1_Scroll%27s_Thirteen-Pointed_Star_Polygon_Design&diff=3972&oldid=prev 2015-01-28T20:37:42Z

<p>Die Seite wurde neu angelegt: „ == Reference == B. Lynn Bodner: <a href="/index.php?title=The_Topkap%C4%B1_Scroll%27s_Thirteen-Pointed_Star_Polygon_Design" title="The Topkapı Scroll's Thirteen-Pointed Star Polygon Design">The Topkapı Scroll&#039;s Thirteen-Pointed Star Polygon Design</a>. In: <a href="/index.php?title=Bridges_2012" title="Bridges 2012">Bridges 2012</a>. Pages 157–164 == DOI == == Abstrac…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> B. Lynn Bodner: [[The Topkapı Scroll&#039;s Thirteen-Pointed Star Polygon Design]]. In: [[Bridges 2012]]. Pages 157–164 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> This paper will explore the Topkapı Scroll sketch known as Catalog Number 30, the only repeat unit, that,<br /> when replicated using symmetry operations, creates an overall pattern consisting of “nearly regular” thirteen-<br /> pointed stars, regular sixteen-pointed stars as well as irregularly-shaped pentagonal stars. Since there are no<br /> known written instructions explaining how this repeat unit was generated, we set out to see if we could<br /> recreate this highly unusual design using only the simplest of Euclidean construction techniques that may<br /> have been known to, and used by, master builders during medieval times.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Necipoğlu, Gülru (1995). The Topkapı Scroll – Geometry and Ornament in Islamic Architecture: Topkapı Palace Museum Library MS H. 1956, Santa Monica, California: The Getty Center for the History of Art and Humanities.<br /> <br /> [2] Berggren, J. L. (1986). Episodes in the Mathematics of Medieval Islam, Springer-Verlag.<br /> <br /> [3] Özdural, Alpay (1995). Omar Khayyam, Mathematicians, and Conversazioni with Artisans, Journal of the Society of Architectural Historians, 54, 54 - 71.<br /> <br /> [4] Özdural, Alpay (2000). Mathematics and Art: Connections between Theory and Practice in the Medieval Islamic World, Historia Mathematica, 27, 171 - 201.<br /> <br /> [5] The Geometer’s Sketchpad software program, available at http://www.keypress.com.<br /> <br /> [6] Bourgoin, J. (1973). Arabic Geometrical Pattern and Design, Dover Publications. Original 1879.<br /> <br /> [7] Pattern in Islamic Art: The Wade Photo Archive, available at http://www.patterninislamicart.com<br /> <br /> [8] http://upload.wikimedia.org/wikipedia/commons/2/26/Momine_perspective_wiki.jpg<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2012/bridges2012-157.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2012/bridges2012-157.html</div>

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