Innovation of Parametric Plane Curve and Algebraic Surfaces for Motifs of Batik

TL;DR

This paper introduces mathematical methods using parametric plane curves and algebraic surfaces to innovate batik motifs, supported by computational tools and a gender-based study of participants' interests.

Contribution

It presents a novel application of modified hypocycloid curves and quadric surfaces in batik motif design, integrating MATLAB and Surfer programs.

Findings

Girls used more colors in batik motifs.

Interest in batik painting is higher among girls.

Mathematical modeling enhances motif diversity.

Abstract

Innovation on motifs of batiks are shown here. Mathematical approach such as parametric plane curves and algebraic surfaces are introduced to be the novelty of this research. The specific parametric plane curve used in this paper is the modified hypocycloid curve with the MATLAB program. The quadric surface is the particular algebraic surface employed in the Surfer program and varied into several surfaces. Furthermore, the gender issue on painting of batiks is examined by introducing Surfer Batik Workshop for 24 junior students. Though statistically the used number does not representative enough, more colors are used by girls than boys, the interest of painting motifs of batiksis greater in girls due to the present attitude of participants. Keywords : parametric plane curve, algebraic surface, quadric surface, Surfer, gender