A Study of Mathematical Patterns and Cultural Symmetry in Traditional Weaving, Beadwork, and Basketry

Abstract

Traditional weaving, beadwork, and basketry from diverse Indian cultures exhibit mathematical patterns and cultural symmetry that coexist with a variety of mathematical principles. This research paper explores the geometrical structures that are present in the form of tessellations and symmetry in the crafts of Double Ikat of Patan Patola, symmetric motifs in Kanchipuram silk, and radial symmetry in Naga beadwork. The researchers also examine the mathematical ideas behind Banjara embroidery, Toda basketry, and Khasi bamboo weaving, and show how some fundamental concepts, including permutations, combinations, tessellations, and geometric transformations can be applied in some of their creations. The analysis concludes that ethno mathematics is essential in maintaining indigenous knowledge, especially in its application of mathematical principles in a way that artisans naturally employ in the process of producing visually balanced and structurally precise designs. This paper aims to establish ethno mathematics as both a valid cultural epistemology and a pedagogical tool for culturally responsive mathematics education.