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RecordNumber
2078
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Author
Poelke, Konstantin
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Crop_Body
Konstantin Poelke, Zoi Tokoutsi, Konrad Polthier
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Title of Article
Complex Polynomial Mandalas and their Symmetries
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Title Of Journal
Bridges
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Publication Year
2014
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Page
433-436
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Notes
ProceedingsofBridges2014:Mathematics,Music,Art,Architecture,Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
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Abstract
We present an application of the classical Schwarz reflection principle to create complex mandalas—symmetric shapes resulting from the transformation of simple curves by complex polynomials—and give various illustrations of how their symmetry relates to the polynomials’ set of zeros. Finally we use the winding numbers inside the segments enclosed by the transformed curves to obtain fully coloured patterns in the spirit of many mandalas found in real-life.
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URL
,/DL/Data Entry/Edit/AddToCompilation.aspx,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditCompile_454.aspx
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Link To Document :
