BERKALA SAINSTEK
Vol 10 No 3 (2022)

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)



Article Info

Publish Date
04 Oct 2022

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.

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Journal Info

Abbrev

BST

Publisher

Subject

Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Mathematics Physics

Description

Berkala SAINSTEK (BST) merupakan jurnal ilmiah yang memuat artikel hasil penelitian di bidang sains dan teknologi. Secara khusus BST diperuntukan bagi penulis internal mahasiswa Universitas Jember bidang fisika, matematika, biologi, kimia, teknik sipil, teknik mesin, teknik elektro dan sistem ...