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

Correa-Erazo S.B.; Velezmoro-León R.; Ipanaqué-Chero R.; Raymundo-García C.A.; Arellano-Ramírez C.E. · Lecture Notes in Networks and Systems (2025) · DOI: 10.1007/978-3-031-96775-7_38

Resumen

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. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

Instituciones: Universidad Nacional de Piura