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Volume 35, Number 4, pages 429-440 (2024)
https://doi.org/10.26830/symmetry_2024_4_429
MATHEMATICAL SYMMETRIES OF THE BINAKUL TEXTILES
Ma. Louise Antonette N. De Las Peñas1, Analyn Salvador-Amores2, Mark D. Tomenes3, Eduard C. Taganap4
1 Ateneo de Manila University, Quezon City 1108, Philippines;
Email: mdelaspenas@ateneo.edu
2 University of the Philippines - Baguio, Baguio City 2600, Philippines;
Email: avsalvadoramores@up.edu.ph
3 Ateneo de Manila University, Quezon City 1108, Philippines;
Email: mtomenes@ateneo.edu
4 Central Luzon State University, Science City of Muñoz 3120, Philippines;
Email: eduardtaganap@clsu.edu.ph
Abstract: This paper presents a method to analyze the layer symmetry structure of a textile, representing it as a two-way twofold fabric and applying notions of color symmetry to its corresponding design. In particular, it presents an analysis of the symmetry structures of the binakul textiles or binakul of the Itneg, an ethnic group located in the northern part of the Philippines. The layer symmetry groups of the binakul are determined. Results reveal that the symmetries of the binakul consists of side preserving isometries.
Keywords: Binakul textiles, two-way twofold fabrics, symmetries, layer groups.
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