http://de.evo-art.org/index.php?action=history&feed=atom&title=Interwoven_Islamic_Geometric_Patterns 2026-04-13T19:24:17Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Interwoven_Islamic_Geometric_Patterns&diff=33250&oldid=prev 2017-12-06T17:34:33Z

<p>Die Seite wurde neu angelegt: „ == Referenz == Craig S. Kaplan: <a href="/index.php?title=Interwoven_Islamic_Geometric_Patterns" title="Interwoven Islamic Geometric Patterns">Interwoven Islamic Geometric Patterns</a>. In: <a href="/index.php?title=Bridges_2017" title="Bridges 2017">Bridges 2017</a>, Pages 71–78. == DOI == == Abstract == Rinus Roelofs has…“</p> <p><b>Neue Seite</b></p><div><br /> == Referenz == <br /> Craig S. Kaplan: [[Interwoven Islamic Geometric Patterns]]. In: [[Bridges 2017]], Pages 71–78. <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Rinus Roelofs has exhibited numerous planar and polyhedral sculptures made up of two layers that weave over and under each other to form a single connected surface. I present a technique for creating sculptures in this style that are inspired by the geometric structure of Islamic star patterns. I first present a general approach for constructing interwoven two- layer sculptures, and then specialize it to Islamic patterns in the plane and on polyhedra. Finally, I describe a projection operation that bulges the elements of these designs into undulating dome shapes. <br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> @inproceedings{bridges2017:71,<br /> author = {Craig S. Kaplan},<br /> title = {Interwoven Islamic Geometric Patterns},<br /> pages = {71--78},<br /> booktitle = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},<br /> year = {2017},<br /> editor = {David Swart, Carlo H. S\&#039;equin, and Krist\&#039;of Fenyvesi},<br /> isbn = {978-1-938664-22-9},<br /> issn = {1099-6702},<br /> publisher = {Tessellations Publishing},<br /> address = {Phoenix, Arizona},<br /> note = {Available online at \url{http://archive.bridgesmathart.org/2017/bridges2017-71.pdf}}<br /> }<br /> <br /> == Used References == <br /> [1] J. Bourgoin. Arabic Geometrical Pattern and Design. Dover Publications, 1973.<br /> <br /> [2] Paul Bourke. Pillow shape, 2000. http://paulbourke.net/geometry/pillow/, accessed February 1,<br /> 2016.<br /> <br /> [3] Craig S. Kaplan and David H. Salesin. Islamic star patterns in absolute geometry. ACM Trans. Graph.,<br /> 23(2):97–119, 2004.<br /> <br /> [4] Rinus Roelofs. Connected holes. In Reza Sarhangi and Carlo H. Séquin, editors, Bridges Leeuwarden:<br /> Mathematics, Music, Art, Architecture, Culture, pages 29–38, London, 2008. Tarquin Publications. Available<br /> online at http://archive.bridgesmathart.org/2008/bridges2008-29.html.<br /> <br /> [5] Rinus Roelofs. About weaving and helical holes. In George W. Hart and Reza Sarhangi, editors, Proceedings<br /> of Bridges 2010: Mathematics, Music, Art, Architecture, Culture, pages 75–84, Phoenix, Arizona, 2010. Tessellations<br /> Publishing. Available online at http://archive.bridgesmathart.org/2010/bridges2010-75.html.<br /> <br /> [6] Rinus Roelofs. The elevation of coxeter’s infinite regular polyhedron 444444. In Eve Torrence, Bruce Torrence,<br /> Carlo Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi, editors, Proceedings of Bridges<br /> 2016: Mathematics, Music, Art, Architecture, Education, Culture, pages 33–40, Phoenix, Arizona, 2016. Tessellations<br /> Publishing. Available online at http://archive.bridgesmathart.org/2016/bridges2016-33.html.<br /> <br /> [7] Saul Schleimer and Henry Segerman. Squares that look round: Transforming spherical images. In Eve<br /> Torrence, Bruce Torrence, Carlo Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi, editors,<br /> Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture, pages 15–24,<br /> Phoenix, Arizona, 2016. Tessellations Publishing. Available online at http://archive.bridgesmathart.org/2016/bridges2016-15.html.<br /> <br /> == Links == <br /> <br /> === Full Text === <br /> http://archive.bridgesmathart.org/2017/bridges2017-71.pdf<br /> <br /> [[internal file]] <br /> <br /> <br /> === Sonstige Links ===</div>

Gubachelier