Frieze Pattern Analysis of the Eastern Cordillera three Major Ethnic Groups Woven Native Attire

Abstract

Mathematics is everywhere. Its beauty is seen in man's awareness of the environment. Aiming to penetrate a society's cultural component, ethnomathematics targeted indigenous weaving patterns. Ifugao (Tuwali, Kalanguya, and Ayangan) and Ga'dang (Ga'dang and Balangao) have their own individual weaving patterns which were culturally included, therefore earning their merit to be studied. Aims of knowledge collection included preserving the Eastern Cordillera's distinctive character and appreciation of mathematics and culture. The research employed a method of assessing frieze patterns in local woven attires. The Eastern Cordillera weavers employed the seven frieze group designs in their traditional clothing. The asymmetry of traditional clothing is studied using group theory and transformation geometry. The utilization of motifs that represent cultural ideas and traditions, as well as weaving style and process, favors distinct frieze and plane crystallographic groupings. The study's findings indicate the weaver's ability to create key geometric shapes without rigorous mathematical knowledge. This study directly contributes to the field of mathematical crystallography in art and cultural heritage, which uses group-theoretic approaches and tools to comprehend the mathematics in artworks from all over the globe. It adds to the expanding corpus of literature that employs symmetry to increase cultural understanding.