Geometric Transformations in Kelarai Cik Kedah Ketapang: Exploring the Mathematical Foundation of a Traditional Malay Weaving Pattern

Rosita Zainal; Ainul Mardhiyah Mohd Rais; Miqdad ‘Ayyash Mohd Khoushaini; Sharifah Aqilah Sd Md Khawari; Samad Rashid

doi:10.37934/sijfam.7.1.5159

Authors

Rosita Zainal Kolej PERMATA Insan, Universiti Sains Islam Malaysia, Bandar Baru Nilai, 71800 Nilai, Negeri Sembilan, Malaysia
Ainul Mardhiyah Mohd Rais Kolej PERMATA Insan, Universiti Sains Islam Malaysia, Bandar Baru Nilai, 71800 Nilai, Negeri Sembilan, Malaysia
Miqdad ‘Ayyash Mohd Khoushaini Kolej PERMATA Insan, Universiti Sains Islam Malaysia, Bandar Baru Nilai, 71800 Nilai, Negeri Sembilan, Malaysia
Sharifah Aqilah Sd Md Khawari Kolej PERMATA Insan, Universiti Sains Islam Malaysia, Bandar Baru Nilai, 71800 Nilai, Negeri Sembilan, Malaysia
Samad Rashid 2 Department of Mathematics, College of Basic Sciences, Yadegar-e-Imam Khomeini (RAH) Shahre Ray Branch, Islamic Azad University, Tehran, Iran

DOI:

https://doi.org/10.37934/sijfam.7.1.5159

Keywords:

Kelarai Cik Kedah Ketapang, geometric transformations, isometry, traditional Malay weaving, mathematical modelling

Abstract

Kelarai Cik Kedah Ketapang is a traditional handmade weaving pattern passed down through generations in Malay culture, originating from Terengganu, Malaysia. While its aesthetic and cultural significance has been widely acknowledged, its underlying mathematical properties remain under-explored. This study investigates the geometric transformations that contribute to the arrangement and design structure of the Kelarai Cik Kedah Ketapang pattern. Using geometric modelling and comparative visual analysis of archival and present samples, the study identifies isometric transformations, including reflections, translations, and rotations, as fundamental to the pattern’s composition. Additionally, the integration of combined transformations and repeated geometric characteristics plays a crucial role in maintaining the motif’s structural coherence and visual appeal. The findings highlight traditional weavers' intuitive application of mathematical concepts, demonstrating that mathematical thinking is deeply embedded in this Malaysian craft.