RecordNumber
2078
Author
Poelke, Konstantin
Crop_Body
Konstantin Poelke, Zoi Tokoutsi, Konrad Polthier
Title of Article
Complex Polynomial Mandalas and their Symmetries
Title Of Journal
Bridges
Publication Year
2014
Page
433-436
Notes
ProceedingsofBridges2014:Mathematics,Music,Art,Architecture,Culture , براي مشاهده و دانلود مقاله به لينك مدارك مرتبط مراجعه نماييد
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.
URL
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