TY - JOUR
T1 - An Algorithm Since the Vector Approach in Mathematica to Generate the Von Koch Curve and Islands in a General Way
AU - Correa-Erazo, Segundo B.
AU - Velezmoro-León, Ricardo
AU - Ipanaqué-Chero, Robert
N1 - Publisher Copyright:
© 2023 Copyright for this paper by its authors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
KW - algorithm
KW - new focus
KW - Von Koch curve
KW - Von Koch Island
UR - http://www.scopus.com/inward/record.url?scp=85194710224&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85194710224
SN - 1613-0073
VL - 3691
SP - 673
EP - 689
JO - CEUR Workshop Proceedings
JF - CEUR Workshop Proceedings
T2 - 2023 International Congress on Education and Technology in Sciences, CISETC 2023
Y2 - 4 December 2023 through 6 December 2023
ER -