Volume 2, Issue 1, 2026

Title: V-Variable Totally Disconnected n-gonal Superfractals Using Ishikawa Iterates

Authors :
Darshana J. Prajapati
M.B. Patel Institute of Technology, New Vallabh Vidyanagar, Gujarat, India

Shivam Rawat
Graphic Er (deemed to be University), Dehradun, Uttarakhand, India

Page No : 10-15

Key Words : Disconnected IFS, V-variable superfractals, n- gon fractal, Ishikawa iterates


Abstract:

The concept of totally disconnected IFS (Iterated Function System) and their as- sociated disconnected fractal sets have basically been given by Barnsley [1, 2]. Many researchers have developed n-gonal fractals using simple function iterates. The aim of this paper is to develop V – variable pentagon and hexagon as a super fractal of totally disconnected hyperbolic IFS using the Ishikawa iterative procedure. A general algorithm to find vertices and scaling factor of a regular n-gon and generation of n-gon is also given, wherein each vertex of n-gon is equivalent to some root of a chosen number.

DETAILS ABOUT PUBLICATION

Submitted Date :
12-01-2026

Accepted Date :
14-01-2026

Published Date :
17-01-2026

Key words

Disconnected IFS, V-variable superfractals, n- gon fractal, Ishikawa iterates