Looking Crochet Arts Through the Lens of Mathematics

Abstract

Textile arts had shown geometric transformations among their patterns, like in weaving and embroidery, as well as foreign crochet arts. Crochet art, compared to other textile arts, requires little material and time to be made. This study is about the analysis of Philippine crochet arts’ modern geometry principles, specifically, transformational plane geometry principles. The researchers utilized the flowchart of geometrical transformation to determine the symmetry group of crochet arts. This includes the flowchart involving reflection, rotation, translation and glide reflection. Also, this study showed that symmetry groups, which include Frieze groups, Rosette groups and Wallpaper groups, are present in crochet arts, and can be all found in a single crochet art. Centerpieces, dresses, skirts and scarves have shown various geometric transformations and symmetry groups. This study serves as evidence of the existence of geometric and symmetry patterns of crochet arts, as well as an example for artisans in making ideas and designs of crochet arts.