http://de.evo-art.org/index.php?action=history&feed=atom&title=Complex_Polynomial_Mandalas_and_their_Symmetries 2026-04-13T10:34:51Z Versionsgeschichte dieser Seite in de_evolutionary_art_org MediaWiki 1.27.4 http://de.evo-art.org/index.php?title=Complex_Polynomial_Mandalas_and_their_Symmetries&diff=3853&oldid=prev 2015-01-27T19:08:14Z

<p>‎<span dir="auto"><span class="autocomment">Used References</span></span></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='de'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Nächstältere Version</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Version vom 27. Januar 2015, 19:08 Uhr</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Zeile 19:</td> <td colspan="2" class="diff-lineno">Zeile 19:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[1] Z. Nehari. Conformal Mapping. Dover Books on Mathematics. Dover Publications, 1975.</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[1] Z. Nehari. Conformal Mapping. Dover Books on Mathematics. Dover Publications, 1975.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[2] H.A. Schwarz. Ueber einige Abbildungsaufgaben. Journal <del class="diffchange diffchange-inline">f ̈ur </del>die reine und angewandte Mathematik, 70:105–120, 1869.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[2] H.A. Schwarz. Ueber einige Abbildungsaufgaben. Journal <ins class="diffchange diffchange-inline">für </ins>die reine und angewandte Mathematik, 70:105–120, 1869.</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>&#160;</div></td><td colspan="2">&#160;</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Links ==</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>== Links ==</div></td></tr> </table>

Gbachelier http://de.evo-art.org/index.php?title=Complex_Polynomial_Mandalas_and_their_Symmetries&diff=3852&oldid=prev 2015-01-27T19:07:44Z

<p>Die Seite wurde neu angelegt: „ == Reference == Konstantin Poelke, Zoi Tokoutsi and Konrad Polthier: <a href="/index.php?title=Complex_Polynomial_Mandalas_and_their_Symmetries" title="Complex Polynomial Mandalas and their Symmetries">Complex Polynomial Mandalas and their Symmetries</a>. In: <a href="/index.php?title=Bridges_2014" title="Bridges 2014">Bridges 2014</a>. Pages 433–4…“</p> <p><b>Neue Seite</b></p><div><br /> == Reference ==<br /> Konstantin Poelke, Zoi Tokoutsi and Konrad Polthier: [[Complex Polynomial Mandalas and their Symmetries]]. In: [[Bridges 2014]]. Pages 433–436 <br /> <br /> == DOI ==<br /> <br /> == Abstract ==<br /> We present an application of the classical Schwarz reflection principle to create complex mandalas—symmetric<br /> shapes resulting from the transformation of simple curves by complex polynomials—and give various illustrations<br /> of how their symmetry relates to the polynomials’ set of zeros. Finally we use the winding numbers inside the<br /> segments enclosed by the transformed curves to obtain fully coloured patterns in the spirit of many mandalas found<br /> in real-life.<br /> <br /> == Extended Abstract ==<br /> <br /> == Bibtex == <br /> <br /> == Used References ==<br /> [1] Z. Nehari. Conformal Mapping. Dover Books on Mathematics. Dover Publications, 1975.<br /> <br /> [2] H.A. Schwarz. Ueber einige Abbildungsaufgaben. Journal f ̈ur die reine und angewandte Mathematik, 70:105–120, 1869.<br /> <br /> <br /> == Links ==<br /> === Full Text === <br /> http://archive.bridgesmathart.org/2014/bridges2014-433.pdf<br /> <br /> [[intern file]]<br /> <br /> === Sonstige Links ===<br /> http://archive.bridgesmathart.org/2014/bridges2014-433.html</div>

Gbachelier