http://de.evo-art.org/index.php?action=history&feed=atom&title=Circle_patterns_in_Gothic_Architecture 2026-04-18T13:42:30Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Circle_patterns_in_Gothic_Architecture&diff=3968&oldid=prev 2015-01-28T20:27:38Z

<p>Die Seite wurde neu angelegt: „ == Reference == Tiffany C. Inglis and Craig S. Kaplan: <a href="/index.php?title=Circle_patterns_in_Gothic_Architecture" title="Circle patterns in Gothic Architecture">Circle patterns in Gothic Architecture</a>. In: <a href="/index.php?title=Bridges_2012" title="Bridges 2012">Bridges 2012</a>. Pages 133–140 == DOI == == Abst…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Tiffany C. Inglis and Craig S. Kaplan: [[Circle patterns in Gothic Architecture]]. In: [[Bridges 2012]]. Pages 133–140 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Inspired by Gothic-influenced architectural styles, we analyze some of the circle patterns found in rose windows and semi-circular<br /> arches. We introduce a recursive circular ring structure that can be represented using a set-like notation, and determine which<br /> structures satisfy a set of tangency requirements. To fill in the gaps between tangent circles, we add Appollonian circles to each<br /> triplet of pairwise tangent circles. These ring structures provide the underlying structure for many designs, including rose windows,<br /> Celtic knots and spirals, and Islamic star patterns.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Benno Artmann. The cloisters of Hauterive. In Kim Williams, editor, Nexus: Architecture and Mathematics, pages 15–25, June 1996.<br /> <br /> [2] George Bain. The Methods of Constructions of Celtic Art. Dover Publications, Inc., New York, 1973.<br /> <br /> [3] Jean Bony. French Gothic Architecture of the 12th and 13th Centuries. University of California Press, 1985.<br /> <br /> [4] Archibald H. Christie. Traditional methods of pattern designing; an introduction to the study of the decorative art. Oxford: Clarendon press, 1910.<br /> <br /> [5] Sir Banister Fletcher. Sir Banister Fletcher’s A History of Architecture. Architectural Press, 20th edition, 1996.<br /> <br /> [6] Craig S. Kaplan. Islamic star patterns from polygons in contact. In GI ’05: Proceedings of the 2005 conference on Graphics Interface, 2005.<br /> <br /> [7] David Mumford, Caroline Series, and David Wright. Indra’s Pearls: The Vision of Felix Klein. Cambridge University Press, Cambridge, 2002.<br /> <br /> [8] Kenneth Stephenson. Introduction to Circle Packing: The Theory of Discrete Analytic Functions. Cambridge University Press, April 2005.<br /> <br /> [9] Alexander Astrom and Christoffer Astrom: Circular knotworks consisting of pattern no. 295: a mathematical approach. Journal of Mathematics and the Arts, 5(4):185–197, November 2011.<br /> <br /> [10] Walter Crum Watson. Portuguese architecture. A. Constable and company, limited, 1908.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2012/bridges2012-133.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2012/bridges2012-133.html</div>

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