http://de.evo-art.org/index.php?action=history&feed=atom&title=Bourgoin%27s_14-Pointed_Star_Polygon_Designs 2026-04-04T12:01:03Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Bourgoin%27s_14-Pointed_Star_Polygon_Designs&diff=4042&oldid=prev 2015-01-29T16:46:09Z

<p>Die Seite wurde neu angelegt: „ == Reference == B. Lynn Bodner: <a href="/index.php?title=Bourgoin%27s_14-Pointed_Star_Polygon_Designs" title="Bourgoin's 14-Pointed Star Polygon Designs">Bourgoin&#039;s 14-Pointed Star Polygon Designs</a>. In: <a href="/index.php?title=Bridges_2010" title="Bridges 2010">Bridges 2010</a>. Pages 135–142 == DOI == == Abstract == In this pap…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> B. Lynn Bodner: [[Bourgoin&#039;s 14-Pointed Star Polygon Designs]]. In: [[Bridges 2010]]. Pages 135–142 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> In this paper we explore a contemporary conceptualization and creation of four, historical 14-pointed star<br /> polygon designs illustrated and analyzed in Plates 164 – 167 of Bourgoin’s Arabic Geometrical Pattern and<br /> Design [1]. We seek to determine how the original designer of these patterns may have determined, without<br /> mensuration, the proportion and placement of the star polygons comprising each pattern. We will do this by<br /> proposing a plausible Euclidean “point-joining” compass-and-straightedge reconstruction for each.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Bourgoin, J. (1973). Arabic Geometrical Pattern and Design, Dover Publications. Original 1879.<br /> <br /> [2] The Geometer’s Sketchpad software program, available at http://www.keypress.com.<br /> <br /> [3] Abu’l-Wafā’ al-Buzjani (10th Century). Kitāb fimāyahtāju ilayhi al-sāni‘min a‘māl al-handasa<br /> (About that which the artisan needs to know of geometric constructions).<br /> <br /> [4] Sarhangi, R. (2007). “Geometric Constructions and their Arts in Historical Perspective,” Bridges:<br /> Mathematical Connections in Art, Music, and Science Conference Proceedings, pp. 233-240.<br /> <br /> [5] Berggren, J.L. (1986). Episodes in the Mathematics of Medieval Islam, Springer, pp. 77-82.<br /> <br /> [6] Hogendijk, J.P. (1984). “Greek and Arabic Constructions of the Regular Heptagon,” Archive for<br /> History of Exact Sciences 30, 197-330.<br /> <br /> [7] McBurney, S. (2008). “Mathematical Secrets of Seven,” Bridges: Mathematical Connections in Art,<br /> Music, and Science Conference Proceedings, pp. 417-420.<br /> <br /> [8] Microsoft Paint software program.<br /> <br /> [9] Pattern in Islamic Art: The Wade Photo Archive, available at http://www.patternsinislamicart.com<br /> <br /> [10] Necipoğlu, Gülru (1995). The Topkapı Scroll – Geometry and Ornament in Islamic Architecture:<br /> Topkapı Palace Museum Library MS H. 1956, Santa Monica, California: The Getty Center for the History<br /> of Art and Humanities.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2010/bridges2010-135.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2010/bridges2010-135.html</div>

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