CR Iteration in Generation of Antifractals With s-Convexity

Abstract

Complex graphics of nonlinear dynamical systems perform vital role in many fields, e.g., image compression or encryption, art, science, and so on. Antifractals are generated by applying a map recursively to an initial point in complex plane that have become a significant area of research these days. The purpose of this paper is to investigate the dynamics of antifractals like anti-Julia sets, tricornsand multicorns of antiholomorphic polynomials via CR iteration scheme with s-convexity. Many beautiful aesthetic patterns are visualized for antipolynomial z → zm + c of complex polynomial zm + c, for m ≥ 2 to explore the geometry of antifractals.

Keywords

• CR iteration
• antifractals
• s-convexity
• escape criterion