Inovasi Desain Batik Fraktal Menggunakan Geometri Fraktal Koch snowflake (m, n, c)

Abstract

Batik fractal is an innovation of Indonesian art that is modeled and designed in modern science. Fractal batik is composed of various forms of fractal geometry. In this study, batik fractals will be arranged using the fractal form of Koch snowflake (𝑚, 𝑛, 𝑐) and Koch anti-snowflake (𝑚, 𝑛, 𝑐). The initiator or the 𝑚-polygon or the 𝑚 value used is 3 ≤ 𝑚 ≤ 6. The generator or form of generation or the 𝑛 value follows the value of 𝑚. The value of 𝑐 used is 0,5 ; 0,3 ; 0,19 ; and 0,14. The generation method used is the IFS method utilizing Affine’s transformation which are dilation, transition, and rotaion. The generation proced two iterations. There are 5 basic pattern used and the arrangement of ornaments is using translation. The first results obtained are the algorithm for arranging ornaments in each pattern. The second result is a combination of ornaments on each pattern, 64 combinations for the 1st, 2nd, 3rd patterns and 512 combinations for the 4th, 5th patterns. The third result is combination between batik design with local patterns. The last one is the simillarity for the arrangement of ornaments on the 1st pattern with parang rusak’s batik pattern and the 5th pattern with nitik’s batik pattern.