http://de.evo-art.org/index.php?action=history&feed=atom&title=Aesthetically_Pleasing_Azulejo_Patterns 2026-04-20T12:49:49Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Aesthetically_Pleasing_Azulejo_Patterns&diff=4064&oldid=prev 2015-01-29T19:36:48Z

<p>Die Seite wurde neu angelegt: „ == Reference == Russell Hendel: <a href="/index.php?title=Aesthetically_Pleasing_Azulejo_Patterns" title="Aesthetically Pleasing Azulejo Patterns">Aesthetically Pleasing Azulejo Patterns</a>. In: <a href="/index.php?title=Bridges_2009" title="Bridges 2009">Bridges 2009</a>. Pages 115–122 == DOI == == Abstract == In [1], Fernan…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Russell Hendel: [[Aesthetically Pleasing Azulejo Patterns]]. In: [[Bridges 2009]]. Pages 115–122 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> In [1], Fernandez outlined an algebraic approach to the construction of Azulejo patterns. An open problem listed in<br /> this paper is “to describe the geometric features of these designs that account for their aesthetic properties.” This<br /> paper points to a direction to answer this problem. We identify aesthetic pleasantness with aesthetic challenge and<br /> present two definitions of aesthetic challenge: (1) Aesthetic challenge can be partially defined and quantified by the<br /> number of English phrases needed to describe an Azulejo pattern; (2) We can also define aesthetic challenge as<br /> equal to the number of primitive figures – isolated points and lines – in the fundamental octant of the Azulejo<br /> pattern. We show that these two definitions correlate and that they provide an alternative to Fernandez’s purely<br /> algebraic approach for construction of Azulejo patterns. Several examples are presented showing that both<br /> approaches – the algebraic approach of Fernandez and the aesthetic challenge approach of the author - yield<br /> aesthetically pleasing designs. Future directions of research on the definition of aesthetic challenge are presented.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Federico Fernandez, A Class of Pleasing Periodic Designs, The College Math Journal, Vol. 29.1, pp.<br /> 18-26. 1998.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2009/bridges2009-115.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2009/bridges2009-115.html</div>

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