Ethnomathematics: An Analysis of Frieze and Crystallographic Patterns on Ulos

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Fevi Rahmawati Suwanto, Dinda Kartika, Debi Yandra Niska

2022 AIP Conference Proceedings Vol. 2659 Conference paper Cited by 3 Quartile

Abstract

Ulos as a Batak cultural heritage textile has a variety of motifs. The variety of motifs on ulos is closely related to the mathematical ideas. The Ulos weaving process has its formula and thread count for each motif. The motifs formed cannot be separated from the modification of the patterns generated through rotation, reflection, translation, and glide reflection related to the symmetry group in mathematical concepts. This paper reviews the relationship between the concepts of symmetry groups especially for seven types of frieze pattern and seventeen types of crystallography patterns from 21 types of Ulos. This Ulos originally from four Batak sub-tribes based on region, namely Karo, Simalungun, Pakpak, and Mandailing. The types of Ulos from each of these tribes sequentially consist of 7 Uis Karo, 8 Hiou Simalungun, 4 Oles Pakpak, and 2 Mandailing Angkola's Ulos. From the results of the analysis, it was found frieze patterns, namely, type III and type VII on Uis Karo; type III and type VII on Hiou Simalungun; type III and type VII on Oles Pakpak; type III, type VI, and type VII on Mandailing Angkola's Ulos. Meanwhile, the crystallographic pattern was found only on Uis Karo namely p4m. © 2022 American Institute of Physics Inc.. All rights reserved.

Affiliations

Department of Mathematics, Universitas Negeri Medan, Medan, Indonesia