Crystallographic and Frieze Groups Structures in Hablon

The existing hablon –a handloom textile of Hiligaynon and Karay-a speaker- is the manifestation of the Ilonggos' culture, tradition, as well as a livelihood which brought Iloilo to its highlight in the 19th century and further named to be the Textile Capital of the Philippines. This current study would like to classify the crystallographic group and the frieze group patterns present in the hablon designs. In addition, it attempted to determine the mathematical concepts embodied in the process of hablon. The ethnographic method was employed in this study, specifically, immersion, fieldworks, and interviews to understand the process in hablon. This study revealed that the seven frieze group patterns were present in hablon designs and ten for the crystallographic group. The mathematical concepts embodied in the process of hablon were harmonization of multiple processes for planning, practicing parallelism of threads for warping, logical sequencing of the direction for beaming, alternate injective and surjective sets for heedling, consecutively injective and surjective sets for reeding, establishing the limitation for tie-in, able to estimate for spooling and creating waving pattern of weft for weaving.