| This paper presented the mathematical analysis of the hand-sewn embroidery in Taal, Batangas on a cultural context and perspective. The Burdang Taal or Taal embroidery is a form of Batangueno art that showcases rich symmetrical figures and transformations. The study
used the descriptive research design. The analyses made on the figures and designs of Burdang Taal were based on the concepts of group theory and transformational geometry. One hundred twenty-four (124) samples were collected and analyzed using the seven frieze patterns and seventeen symmetry groups or plane ornaments following the International Union of Crytallography (IUCr) notation and classification. Results showed that almost all of the frieze patterns and the plane ornaments are exhibited in the different designs embroidered on the Barong Tagalog and other decors or accessories. Six out of the seven frieze patterns, with the exception of symmetry group mg, were identified. In terms of plane ornaments, nine of the seventeen symmetry groups were identified including cm, pm, pg,
p1, pmm, pmg, p4, p3, p6. The dominant plane ornaments were formed mainly using translations, perpendicular reflections without glides, or rectangular lattice without rotations or glides. The study underscored
the creativity of the magbuburda or local embroiderers, who were able to express meaningful geometric designs without the necessary mathematical training on crystallography and pattern-making. Important implication of the study would be its contribution to the enrichment of the study of abstract algebra and the geometry of transformation. |
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