http://de.evo-art.org/index.php?action=history&feed=atom&title=Repeating_Fractal_Patterns_with_4-Fold_Symmetry 2026-05-27T09:08:44Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Repeating_Fractal_Patterns_with_4-Fold_Symmetry&diff=33120&oldid=prev 2016-12-27T10:48:25Z

<p>Die Seite wurde neu angelegt: „ == Reference == Douglas Dunham and John Shier: <a href="/index.php?title=Repeating_Fractal_Patterns_with_4-Fold_Symmetry" title="Repeating Fractal Patterns with 4-Fold Symmetry">Repeating Fractal Patterns with 4-Fold Symmetry</a>. In: <a href="/index.php?title=Bridges_2016" title="Bridges 2016">Bridges 2016</a>, Pages 523–524. == DOI == == Ab…“</p> <p><b>Neue Seite</b></p><div><br /> <br /> == Reference ==<br /> Douglas Dunham and John Shier: [[Repeating Fractal Patterns with 4-Fold Symmetry]]. In: [[Bridges 2016]], Pages 523–524. <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> Previously we described an algorithm that can fill a region with an infinite sequence of randomly placed<br /> and progressively smaller shapes, producing a fractal pattern. In this paperwe extend this algorithmto fill<br /> a fundamental region for the “wallpaper” group p4, then we tile the plane with copies of that region. This<br /> produces artistic patterns which have a pleasing combination of local randomness and global symmetry.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> @inproceedings{bridges2016:523,<br /> author = {Douglas Dunham and John Shier},<br /> title = {Repeating Fractal Patterns with 4-Fold Symmetry},<br /> pages = {523--524},<br /> booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},<br /> year = {2016},<br /> editor = {Eve Torrence, Bruce Torrence, Carlo S\&#039;equin, Douglas McKenna, Krist\&#039;of Fenyvesi and Reza Sarhangi},<br /> isbn = {978-1-938664-19-9},<br /> issn = {1099-6702},<br /> publisher = {Tessellations Publishing},<br /> address = {Phoenix, Arizona},<br /> url = {http://de.evo-art.org/index.php?title=Repeating_Fractal_Patterns_with_4-Fold_Symmetry },<br /> note = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-523.html}}<br /> }<br /> <br /> <br /> == Used References ==<br /> [1] Doug Dunham and John Shier, The Art of Random Fractals, in Bridges Seoul, (eds. Gary Greenfield,<br /> George Hart, and Reza Sarhangi), Seoul, Korea, 2014, pp. 79–86. Also online at:<br /> http://archive.bridgesmathart.org/2014/bridges2014-79.html<br /> <br /> [2] Doug Dunham and John Shier, FractalWallpaper Patterns, in Bridges 2015, Baltimore, Maryland, 2015,<br /> pp. 183–190. Also online at:<br /> http://archive.bridgesmathart.org/2015/bridges2015-183.html<br /> <br /> [3] Doris Schattschneider, The Plane Symmetry Groups: Their Recognition and Notation, American Mathematical<br /> Monthly, 85, 6, 439-450, July, 1978. Wikipedia site for wallpaper groups:<br /> http://en.wikipedia.org/wiki/Wallpaper group (accessed Jan. 24, 2016)<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2016/bridges2016-523.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2016/bridges2016-523.html</div>

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