On The Modification of Chaos Game Rules on A Square

  • Kosala Dwidja Purnomo Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Jember
  • Anindita Setya Mawarni Jurusan Matematika, FMIPA, Universitas Jember, Jl. Kalimantan No.37, Jember, Indonesia
  • Firdaus Ubaidillah Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Jember

Abstract

Fractal is a collection of geometric patterns found in nature and can also be a mathematical model visualization in which the pattern is repeated on a different scale. The formation of a fractal object can be done with a rule called chaos games. Chaos games explain a dot that moves erratically. On this research there will be random and non-random modification of the chaos game rules on a square. The purpose of this research is to make modifications and get visual results from modifications of the rules random and non-random chaos game. Depictions of random and non-random chaos game are carried out using MATLAB programs. Visualization of the random chaos game rule modification is a new fractal object that has self-similarity. Whereas modifications of the non-random rules by giving a particular sequence in selection a square point result in convergent points at specific coordinates. This is demonstrated by showing the value of the limit from the distance between points that produced by non-random chaos game is zero.

Published
2022-10-04
How to Cite
PURNOMO, Kosala Dwidja; MAWARNI, Anindita Setya; UBAIDILLAH, Firdaus. On The Modification of Chaos Game Rules on A Square. BERKALA SAINSTEK, [S.l.], v. 10, n. 3, p. 133-139, oct. 2022. ISSN 2339-0069. Available at: <https://jurnal.unej.ac.id/index.php/BST/article/view/24183>. Date accessed: 06 feb. 2023. doi: https://doi.org/10.19184/bst.v10i3.24183.
Section
General