Construction of Three Branches Fractal Trees Using Iterated Function System

  • Kosala Dwidja Purnomo Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Jember
  • Dita Wahyuningtyas Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Jember
  • Firdaus Ubaidillah Jurusan Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Universitas Jember

Abstract

There are two types of fractal: natural fractals and fractals set. The examples of natural fractals are trees, leaves, ferns, mountain, and coastlines. One of the examples of fractals set is Pythagorean tree. In the earlier study, the Pythagorean tree has two branches generated through several affine transformations, i.e dilation and rotation. Here, we developed the Pythagorean tree (or fractal tree) with three branches through dilation, translation, and rotation transformation using Iterated Function System (IFS) method. Some values of height and length parameters were selected to ensure the formation of a fractal tree. These parameters affected the branching angle that can result in different fractal tree shape. Some random values of height and length parameters produced several variations of fractal tree. These values influenced the shape of fractal whether it tended to the left, to the right, or symmetrical shape.

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Published
2022-01-13
How to Cite
PURNOMO, Kosala Dwidja; WAHYUNINGTYAS, Dita; UBAIDILLAH, Firdaus. Construction of Three Branches Fractal Trees Using Iterated Function System. Jurnal ILMU DASAR, [S.l.], v. 23, n. 1, p. 9-16, jan. 2022. ISSN 2442-5613. Available at: <https://jurnal.unej.ac.id/index.php/JID/article/view/17447>. Date accessed: 21 jan. 2022. doi: https://doi.org/10.19184/jid.v23i1.17447.
Section
General