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In this paper, a hybrid variant of the Von Koch curve is studied and generated, which does not use the classic iterated function system but instead uses a vector method. Using this method, creating a variant of the Koch islands using any regular polygon is possible. To do this, a code is developed in Mathematica that can build any regular polygon from two points: the center and the other the first vertex of the polygon. Unlike other usual methods for generating fractal curves, this one offers the advantage of generating the variant as a starting point for any plane segment.

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A Hybrid Variant of the Koch Curve and Islands Using a Vectorial Approach with Mathematica

  • 会议论文

  • 发表日期：

    2025年

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  • Segundo B. Correa-Erazo,
  • Ricardo Velezmoro-León,
  • Robert Ipanaqué-Chero,
  • Carlos A. Raymundo-García,
  • Carlos E. Arellano-Ramírez

摘要

In this paper, a hybrid variant of the Von Koch curve is studied and generated, which does not use the classic iterated function system but instead uses a vector method. Using this method, creating a variant of the Koch islands using any regular polygon is possible. To do this, a code is developed in Mathematica that can build any regular polygon from two points: the center and the other the first vertex of the polygon. Unlike other usual methods for generating fractal curves, this one offers the advantage of generating the variant as a starting point for any plane segment.