Complex Polynomial Mandalas and their Symmetries

Year: 2014 Authors: Konstantin Poelke; Zoi Tokoutsi; Konrad Polthier

Core claim

Polynomial zero symmetries determine the symmetry of transformed curves, enabling mandala-like shapes and colorings through Schwarz reflection and winding numbers.

Topics

Schwarz reflection principle, complex polynomial mappings, symmetry and zeros, winding-number coloring

Domains

complex analysis, holomorphic functions, polynomial algebra, topology, mandala art, pattern design, generative art, color composition

Methods

polynomial curve transformation, symmetry analysis, reflection principle, winding-number region coloring

Media

unit circle, regular polygons, colored transformed curves, illustrative figures

Source status

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