http://de.evo-art.org/index.php?action=history&feed=atom&title=Flying_Patterns 2026-04-06T12:30:56Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Flying_Patterns&diff=4004&oldid=prev 2015-01-29T15:05:08Z

<p>Die Seite wurde neu angelegt: „ == Reference == Jean-Marc Castéra: <a href="/index.php?title=Flying_Patterns" title="Flying Patterns">Flying Patterns</a>. In: <a href="/index.php?title=Bridges_2011" title="Bridges 2011">Bridges 2011</a>. Pages 263–270 == DOI == == Abstract == Contribution to the investigation …“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Jean-Marc Castéra: [[Flying Patterns]]. In: [[Bridges 2011]]. Pages 263–270 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Contribution to the investigation on Islamic pentatonic patterns, trying to highlight a multiplicity of points of view.<br /> 1. Firstly, I propose a morphogenesis of the Persian style, and give the following applications :<br /> - An analysis of two famous traditional patterns that have yet be studied through different view points. One in Karatay,<br /> Turkey (J. Rigby, [10] P. Cromwell [4]), the other in Maragha, Iran (E. Makovicky [7,8], P.J.Lu and P.J.Steinhardt[6]).<br /> Where we can see that both are basically the same, coming from the same step in the proposed morphogenesis.<br /> - The “X-puzzle”, an application from the first step of our morphogenesis (there will be a workshop at the conference).<br /> <br /> 2. Then, considerations about the “prototiles” (or “girih tiles”) point of view.<br /> <br /> 3. Last, a relationship is given between “fundamental” and Persian patterns, through a process of decoration.<br /> Consequently, definition of a new set of prototiles.<br /> <br /> All those concepts can be used by designer to create new patterns.<br /> <br /> This contribution belongs to a pattern designer point of view, more than to a mathematical or historical point of view.<br /> As Bridges is dedicated to a meeting of Art and Maths, but inherit a scientific format for its publications, please<br /> consider this paper as experimental in the sense that the demonstration is given by images more than by words.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Jay Bonner, Three traditions of self-similarity in fourteenth and fifteenth century Islamic geometric<br /> ornament, Meeting Alhambra, Proc. ISAMA-Bridges, pp.1-12, 2003.<br /> <br /> [2] J.Bourgoin, LesEléments de l’ArtArabe, Firmin-Didot,1879. Plates reprinted in Arabic Geometric Pat-<br /> tern and Design, Dover Publications,1973.<br /> <br /> [3] J.M. Castera. Arabesques, Paris, ACR, 1996. English version, 1999.<br /> <br /> [4] Peter R. Cromwell, The Search for Quasi-periodicity in Islamic 5-fold Ornament, Math. Intelligencer<br /> 31 no 1, pp36-56, 2009.<br /> <br /> [5] C.S.Kaplan, Islamic star patterns from polygons in contact, Graphics Interface, ACM International<br /> Conference Proceeding Series 112, pp.177-186, 2005.<br /> <br /> [6] P.J. Lu and P.J. Steinhardt, Decagonal and quasi-crystalline tilings in medieval Islamic architecture,<br /> Science 315, pp. 1106-1110, 2007.<br /> <br /> [7] E.Makovicky, 800-year old pentagonal tiling fromMaragha, Iran, and the new varieties of aperiodic<br /> tiling it inspired, Fivefold Symmetry, ed. I. Hargittai, World Scientific, pp.67-86, 1992.<br /> <br /> [8] E.Makovicky, Another look at the Blue Tomb of Maragha, a site of the first quasicrystaline Islamic<br /> pattern, Symmetry: Culture and Science Vol. 19, Numbers 2-3, pp. 127-151, 2008.<br /> <br /> [9] G.Necipogglu, The TopkapiScroll : Geometry and Ornament in Islamic Architecture, GettyCenter<br /> Publication,1995.<br /> <br /> [10] J.Rigby, A Turkish interlacing pattern and the golden ratio, Mathematics in School, Vol. 34 N°.1, pp.<br /> 16-24, 2005.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2011/bridges2011-263.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2011/bridges2011-263.html</div>

Gbachelier