Variasi Motif Batik Minahasa Berbasis Julia Set

Abstract

Batik adalah corak atau gambar (pada kain) yang pengolahannya diproses dengan cara tertentu biasanya dengan menerakan malam yaitu sejenis lilin pada kain. Batik Minahasa merupakan batik yang menggunakan motif tradisional atau ragam hias dari tanah adat Minahasa, Sulawesi Utara, Indonesia. Batik menjadi warisan budaya Indonesia salah satunya karena motif pada batik yang mengandung filosofi kehidupan masyarakat setempat. Variasi motif pola batik minahasa belum terlalu berkembang walaupun telah ada variasi dari penggabungan motif-motif asli batik Minahasa. Matematika memperkenalkan bentuk fraktal yang memiliki sifat keserupaan diri dan banyak dijumpai pada objek di dunia nyata. Julia Set adalah salah satu jenis fraktal yaitu yang berkaitan dengan bilangan kompleks dan dibangkitkan dari fungsi teriterasi . Tujuan penelitian ini adalah membuat variasi batik minahasa berbasis Julia set. Hasil penelitian menunjukkan dengan memilih sebuah bilangan kompleks tertentu dengan range dan memberikan bentuk-bentuk Julia set yang menarik. Menggunakan aplikasi basis fraktal, variasi batik minahasa berbasis Julia set dibuat dari ragam hias tradisional Minahasa dan motif Julia set yang dipilih dengan mengatur properti motif yang ada seperti layer layout, banyak iterasi, lebar, panjang, sudut, peningkatan sudut dan lain-lain.Batik is a motif or ornaments (on cloth) which processed in a certain way usually using malam which is some kind of wax to the cloth. Batik Minahasa is batik with traditional motif or ornament from indigenous land of Minahasa, North Sulawesi, Indonesia. One of the reasons batik become the cultural heritage of Indonesia is because of the motif which contained local people’s life philosophies. Motif variation of batik Minahasa has not much developed even though there are variations made by combining the traditional motifs. Mathematics introduces fractal which has self-similarity characteristic in its shapes and Julia Set is one of fractals object that corresponds to complex numbers and is generated from the iterated function . The purpose of this research is to make variations of batik Minahasa based on Julia set. The results show that by selecting a complex number within a range of and give interesting shapes of Julia sets. Using fractal-based applications, variation of batik Minahasa is made from traditional ornament and Julia Set motif which selected and arranging the properties such as layout layers, multiple iterations, width, length, angles, angle increases and more.

The Study Geometry Fractals Designed on Batik Motives

“…The iteration processing that belongs to a function is to do a modification on function composition itself. It is built from polynomial function [6]. The function for Julia set is ( ) = 2 + .…”

Julia Set with Trigonometric Function

“…Kodri and Titaley [2] investigate a combination of simple complex number fractals and Batik Minahasa motives, which are motives of traditional clothes of people of Minahasa, Indonesia. Their result shows that by selecting a complex numberc = a + bi, where and gives interesting shapes of Julia sets.…”

Cubic and Quadratic Polynomial on Julia Set With Trigonometric Function

“…The two obvious functions to investigate in this research are sine and cosine function. Research by Kodri and Titaley (2017) was to produce a combination of Batik Minahasa based on julia set. The results show that by selecting a complex number = + within a range of −2 ≤ ≤ 2 and −2 ≤ ≤ 2 gives interesting shapes of Julia sets.…”