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All Journal JPPM (JURNAL PENELITIAN DAN PEMBELAJARAN MATEMATIKA) Jurnal Ilmiah Matematika
Rifda Izza
Universitas Islam Cordoba Banyuwangi
Mathematics

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Dimensi Metrik pada Hasilkali Kartesius Graf S_n×P_2 Vani Krismo Anggoro; Rifda Izza
Jurnal Ilmiah Matematika Vol. 13 No. 1 (2026)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26555/jim.v13i1.32146

Abstract

Misalkan diberikan graf sederhana G=(V,E) dengan v∈V adalah titik di G, dan W⊆V, dimana W={v_1,v_2,…,v_k }. Representasi jarak titik v∈V terhadap himpunan W, dinotasikan dengan r(v│W)=(d(v,v_1 ),d(v,v_2 ),…,d(v,v_k )). Himpunan W dikatakan himpunan pembeda di G jika representasi jarak untuk setiap pasangan dari titik-titik berbeda u,v∈V sehingga r(u|W)≠r(v|W). Himpunan pembeda yang memiliki kardinalitas minimum untuk graf G disebut dengan dimensi metrik yang dinotasikan dengan dim(G). Graf S_n×P_2 adalah graf hasil kali kartesius antara graf bintang dengan n titik dan graf lintasan dengan 2 titik, dengan V(S_n×P_2 )={w_(i1,) w_(i2,) c_1,c_2 ┤|1≤i≤n} dimana w_i1 menyatakan titik (daun) ke-i pada lapisan (layer) pertama, w_i2 menyatakan titik daun ke-i pada lapisan (layer) kedua, dan c_1,c_2 masing-masing adalah titik pusat pada lapisan pertama dan lapisan kedua. Dimensi metrik dari graf S_n×P_2 adalah dim⁡(S_n×P_2 )=n.
Analisis Etnomatematika pada Arsitektur Masjid Jami’ Al-Baitul Amien Jember Yusril Achmad Fatoni; Novita Nurul Aini; Ayu Chinintya Lestari; Rifda Izza
Jurnal Penelitian dan Pembelajaran Matematika Vol 19, No 1 (2026): JPPM (Jurnal Penelitian dan Pembelajaran Matematika) Volume 19 Nomor 1 Februari
Publisher : Universitas Sultan Ageng Tirtayasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62870/jppm.v19i1.35257

Abstract

Indonesia, as a country with a Muslim majority population, is home to thousands of mosques  spread across its regions, including the Jami’ Al-Baitul Amien Mosque located at the heart of Jember Regency. As one of the oldest mosques in the area, it holds significant historical and architectural value. This study aims to explore the mathematical elements embedded within the architectural structure of the Jami’ Mosque in Jember through an ethnomathematical lens. The research employs a qualitative descriptive method with an ethnographic approach, utilizing literature review, field observasition, and visual documentation as data sources. The findings reveal the presence of various mathematical concepts within the mosque, including olane and solid geometry, lines and angles, circle tangents, Roman numerals, geometric transformations, symmetry, congruence, and similarity. These results demonstrate that mathematical principles are inherently integrated into Islamic architecture and culture, offering a meaningful and context rich foundation for mathematics education.
Co-Authors Ayu Chinintya Lestari Novita Nurul Aini Vani Krismo Anggoro Yusril Achmad Fatoni