Binary Representation of the Weaving Motifs of Rumah Bubungan Tinggi: An Ethnomathematical Exploration for Discrete Mathematics Learning
DOI:
https://doi.org/10.31980/mosharafa.v14i4.3471Keywords:
ethnomathematics, weaving patterns, binary sequences, discrete mathematics, steganography, etnomatematika, motif anyaman, barisan biner, matematika diskret, steganografiAbstract
Motif anyaman pada dinding anjung Rumah Bubungan Tinggi menampilkan pola berulang yang dapat dimodelkan sebagai barisan biner. Penelitian eksploratif kualitatif ini merepresentasikan orientasi bilah sebagai digit 1 dan 0, kemudian menganalisis periodisitas, memformulasikan aturan berbasis modulo, serta melakukan konversi biner–desimal–karakter untuk menautkan motif tradisional dengan struktur pengodean informasi digital. Hasil menunjukkan motif membentuk barisan biner deterministik berperiode tertentu yang dapat dijelaskan melalui fungsi modulo. Berdasarkan pemetaan digit–arah bilah, disusun pula model konseptual steganografi: penyisipan pesan biner melalui variasi orientasi bilah tanpa mengubah karakter visual motif. Temuan ini menegaskan potensi motif anyaman sebagai media representasi informasi sekaligus konteks budaya untuk pembelajaran matematika diskret melalui tugas bertahap (pengodean motif, identifikasi unit ulang/periode, penurunan aturan modulo, dan konversi bilangan).
Motif weaving on the anjung wall of the Rumah Bubungan Tinggi exhibits repeating patterns that can be modeled as binary sequences. This qualitative exploratory study encodes strip orientation as 1 and 0, then examines periodicity, formulates modulo-based rules, and performs binary–decimal–character conversions to connect traditional motifs with the basic structure of digital information encoding. The results show that the motifs form deterministic binary sequences with specific periods that can be described using modulo functions. Based on digit-to-orientation mapping, the study also proposes a conceptual motif-based steganography model: embedding binary messages through variations in strip orientation without altering the motif’s overall visual character. These findings highlight the potential of weaving motifs as both an information representation medium and a cultural context for discrete mathematics learning through stepwise tasks (motif encoding, identification of repeating units/periods, derivation of modulo rules, and number conversion).
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