Mathematical Symmetries of Banig (Native Woven Mats) in Northern Samar

This paper presents the findings on the rich, colorful, and mathematically patterned native woven mats, or banig, created by skilled weavers in Northern Samar. Specifically, the study aimed to identify the symmetry group types of frieze and wallpaper patterns present in the traditional mat designs. Recognizing and analyzing these patterns can contribute to the creation of new banig designs, potentially leading to local and regional commercialization. The researchers examined eight banig from Brgy. Bukid, Las Navas, identifying eight frieze patterns, and three banig from Brgy. Bantayan, San Roque, identifying three wallpaper patterns. The results revealed symmetry groups p111, p112, and pmg for the frieze patterns, and p112, p2mm, and pg for the wallpaper patterns. Based on these findings, it is recommended to analyze further the color symmetry of the banig designs included in this study and to explore additional designs created by the same group of weavers to expand the mathematical and cultural documentation of banig patterns.