An Algorithm Since the Vector Approach in Mathematica to Generate the Von Koch Curve and Islands in a General Way

Correa-Erazo S.B.; Velezmoro-León R.; Ipanaqué-Chero R. · CEUR Workshop Proceedings (2023)

Resumen

In this paper, the Von Koch curve is generated in a general way from a vector approach without using the classic system of iterated functions. This approach also allows constructing different Koch islands based on any regular polygon; to do this, a Koch curve is drawn on each of the sides of the regular polygon, taking into account that if the vertices of the polygon are traversed counterclockwise, An island will be generated inside the polygon, but if the vertices are traversed clockwise, an island outside the polygon will be developed. Given the versatility of the method, an interior island and an exterior island are also united, giving origin to a new fractal. To visualize the results, Mathematica scientific software was used.

Instituciones: Universidad Nacional de Piura