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All Journal SAINSMAT BAREKENG: Jurnal Ilmu Matematika dan Terapan Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Ininnawa: Jurnal Pengabdian Masyarakat Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat (JHP2M) SMART: Jurnal Pengabdian Kepada Masyarakat Journal of Mathematics, Computation and Statistics (JMATHCOS)
Ja'faruddin, Ja'faruddin
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Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Library & Information Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Journal : Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika

 1   2 
Unveiling The Hidden Mathematics In Traditional Indonesian Culinary Art: An Exploration of Knot Theory And Alexander Polynomial in Ketupat Telur Ja'faruddin, Ja'faruddin
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3755

Abstract

This research delves into the intriguing relationship between mathematical concepts and traditional Indonesian cultural heritage, particularly in the context of ketupat telur. By applying the theory of knots (knot theory) as a field of topology, the study aims to identify geometric patterns that underlie the making of ketupat telur, as well as to understand the role of symmetry in the formation of knots. The main focus of this research is the ketupat telur knot diagram with 13 points of intersection and Alexander polynomial calculations, as an alternative method for obtaining knot polynomials. The results of the geometric structure analysis of ketupat telur with Alexander polynomial calculations yield: Ak=-t3+7t2-18t+23-18t-1+7t-2-t-3 This finding produces a polynomial that reflects its geometric and structural properties. This illustrates how fundamental mathematical concepts such as knots and polynomials can be applied to culture to achieve a deeper understanding of both.
Knot Theory and Culture: An Exploration of Alexander Polynomial in Ketupat Bata Ja'faruddin, Ja'faruddin
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3767

Abstract

The Ketupat bata is an intriguing geometric shape in knot theory, and this study investigates the polynomial knot that was found in the Ketupat . The objective of this study is to analyze the distinctive mathematical aspects of the diamond brick knot polynomial, which include the saturation level and intricate indexing of the polynomial. An examination of the geometric structure of the brick diamond is accomplished through the application of specialist procedures as part of the strategy that is utilized. The knot polynomial that was obtained is found to be a tetrahedral lattice. There is a mathematical relationship that can be represented by the equation Ak=-t2+5t-8+5t-1-t2 The outcome of this investigation demonstrates how essential mathematical concepts such as its geometric and structural properties.It is possible to produce a more profound comprehension of both culture and nodes by applying the notions of polynomials and nodes to the study of culture.
Mathematical Topology Meets Tradition: Alexander Polynomial Analysis of Sidalungguh Ketupat Weaving Patterns Ja'faruddin, Ja'faruddin
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Sains Matematika dan Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4869

Abstract

This research aims to describe the relationship between mathematics and culinary culture, specifically focusing on ketupat, particularly the Sidalungguh Ketupat. Using knot theory applications, this study examines how mathematics and culinary culture are interconnected. This analysis was conducted by comparing the knots in the ketupat with knot theory literature, leading to the creation of knot diagrams. Through identification using Alexander polynomials, the following result was obtained: This research was conducted to explore the scientific potential in examining mathematics through traditional food. This research aims to describe the relationship between mathematics and culinary culture, specifically focusing on ketupat, particularly the Sidalungguh Ketupat. Using knot theory applications, this study examines how mathematics and culinary culture are interconnected. This analysis was conducted by comparing the knots in the ketupat with knot theory literature, leading to the creation of knot diagrams. Through identification using Alexander polynomials, the following result was obtained: This research was conducted to explore the scientific potential in examining mathematics through traditional food.
Ekspolarasi Konsep Fungsi Matematika Dalam Pembuatan Kain Tenun Tradisional Wajo Ja'faruddin, Ja'faruddin; Khaerati, Khaerati; Aris, Fauzan Abdillah; Jelita, Jelita; Nurdin, Nurazizah; Qalzum, Umrah Nur; Azzahra, Aulia; Ardiyanti, Fifi
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Sains Matematika dan Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4898

Abstract

Traditional arts and mathematics share a profound yet often overlooked connection, particularly in the process of traditional textile making. In South Sulawesi, Wajo woven fabric represents a cultural heritage whose production process involves complex mathematical calculations. This research aims to explore and analyze the application of mathematical function concepts in the Wajo weaving process. Data collection was conducted through direct observation of the weaving process, interviews with craftsmen, and documentation studies, which were then analyzed using qualitative descriptive methods. The findings reveal that the Wajo weaving process has a strong correlation with mathematical function concepts, where variables such as thread count, card patterns, and weaving techniques form mathematical relations that generate specific motifs. Understanding this relationship can contribute to the preservation and development of traditional weaving arts through scientific approaches.
Ethnomathematical Practices and Agricultural Timing in Bugis Culture Ja'faruddin, Ja'faruddin; Khaerati, Khaerati; Takdirming, Takdirming
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Sains Matematika dan Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.5370

Abstract

This study delves into the realm of ethnomathematics within the Bugis culture, specifically examining how good and bad days for farming are determined. Utilizing a descriptive qualitative approach, the research involved direct observations at Fort Rotterdam, Makassar, alongside extensive literature reviews. The findings indicate that the division of good and bad days is based on distinct time cycles, represented by unique symbols that denote the quality of time. These traditions, passed down through generations, provide insights into the cultural values and beliefs of the Bugis community regarding the optimal timing for various activities. The symbols and guidelines not only embody cultural heritage but also illustrate the interplay between traditional time concepts and mathematical principles, such as patterns in calendar calculations. In Bugis culture, time is more than just the passage of hours—it is a living guide that intertwines spirituality with daily life. Terms like Empty, Dead, Alive, Even, and Full are imbued with profound meanings that influence their actions, ensuring harmony with natural and spiritual rhythms. The traditional time-scoring system maintains balance, but skipping intervals like midday or afternoon can significantly alter the day's designation. Analyzing daily scores and excluded intervals highlights how time segments impact activities and symbolism, with Wednesday and Saturday deemed particularly suitable for farming.
Unveiling The Hidden Mathematics In Traditional Indonesian Culinary Art: An Exploration of Knot Theory And Alexander Polynomial in Ketupat Telur Ja'faruddin, Ja'faruddin
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3755

Abstract

This research delves into the intriguing relationship between mathematical concepts and traditional Indonesian cultural heritage, particularly in the context of ketupat telur. By applying the theory of knots (knot theory) as a field of topology, the study aims to identify geometric patterns that underlie the making of ketupat telur, as well as to understand the role of symmetry in the formation of knots. The main focus of this research is the ketupat telur knot diagram with 13 points of intersection and Alexander polynomial calculations, as an alternative method for obtaining knot polynomials. The results of the geometric structure analysis of ketupat telur with Alexander polynomial calculations yield: Ak=-t3+7t2-18t+23-18t-1+7t-2-t-3 This finding produces a polynomial that reflects its geometric and structural properties. This illustrates how fundamental mathematical concepts such as knots and polynomials can be applied to culture to achieve a deeper understanding of both.
Knot Theory and Culture: An Exploration of Alexander Polynomial in Ketupat Bata Ja'faruddin, Ja'faruddin
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3767

Abstract

The Ketupat bata is an intriguing geometric shape in knot theory, and this study investigates the polynomial knot that was found in the Ketupat . The objective of this study is to analyze the distinctive mathematical aspects of the diamond brick knot polynomial, which include the saturation level and intricate indexing of the polynomial. An examination of the geometric structure of the brick diamond is accomplished through the application of specialist procedures as part of the strategy that is utilized. The knot polynomial that was obtained is found to be a tetrahedral lattice. There is a mathematical relationship that can be represented by the equation Ak=-t2+5t-8+5t-1-t2 The outcome of this investigation demonstrates how essential mathematical concepts such as its geometric and structural properties.It is possible to produce a more profound comprehension of both culture and nodes by applying the notions of polynomials and nodes to the study of culture.
Mathematical Topology Meets Tradition: Alexander Polynomial Analysis of Sidalungguh Ketupat Weaving Patterns Ja'faruddin, Ja'faruddin
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Integrasi Matematika, Teknologi, dan Budaya dalam Pendidikan dan Aplikasi Terap
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4869

Abstract

This research aims to describe the relationship between mathematics and culinary culture, specifically focusing on ketupat, particularly the Sidalungguh Ketupat. Using knot theory applications, this study examines how mathematics and culinary culture are interconnected. This analysis was conducted by comparing the knots in the ketupat with knot theory literature, leading to the creation of knot diagrams. Through identification using Alexander polynomials, the following result was obtained: This research was conducted to explore the scientific potential in examining mathematics through traditional food. This research aims to describe the relationship between mathematics and culinary culture, specifically focusing on ketupat, particularly the Sidalungguh Ketupat. Using knot theory applications, this study examines how mathematics and culinary culture are interconnected. This analysis was conducted by comparing the knots in the ketupat with knot theory literature, leading to the creation of knot diagrams. Through identification using Alexander polynomials, the following result was obtained: This research was conducted to explore the scientific potential in examining mathematics through traditional food.
Ekspolarasi Konsep Fungsi Matematika Dalam Pembuatan Kain Tenun Tradisional Wajo Ja'faruddin, Ja'faruddin; Khaerati, Khaerati; Aris, Fauzan Abdillah; Jelita, Jelita; Nurdin, Nurazizah; Qalzum, Umrah Nur; Azzahra, Aulia; Ardiyanti, Fifi
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Integrasi Matematika, Teknologi, dan Budaya dalam Pendidikan dan Aplikasi Terap
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4898

Abstract

Traditional arts and mathematics share a profound yet often overlooked connection, particularly in the process of traditional textile making. In South Sulawesi, Wajo woven fabric represents a cultural heritage whose production process involves complex mathematical calculations. This research aims to explore and analyze the application of mathematical function concepts in the Wajo weaving process. Data collection was conducted through direct observation of the weaving process, interviews with craftsmen, and documentation studies, which were then analyzed using qualitative descriptive methods. The findings reveal that the Wajo weaving process has a strong correlation with mathematical function concepts, where variables such as thread count, card patterns, and weaving techniques form mathematical relations that generate specific motifs. Understanding this relationship can contribute to the preservation and development of traditional weaving arts through scientific approaches.
Ethnomathematical Practices and Agricultural Timing in Bugis Culture Ja'faruddin, Ja'faruddin; Khaerati, Khaerati; Takdirming, Takdirming
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Integrasi Matematika, Teknologi, dan Budaya dalam Pendidikan dan Aplikasi Terap
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.5370

Abstract

This study delves into the realm of ethnomathematics within the Bugis culture, specifically examining how good and bad days for farming are determined. Utilizing a descriptive qualitative approach, the research involved direct observations at Fort Rotterdam, Makassar, alongside extensive literature reviews. The findings indicate that the division of good and bad days is based on distinct time cycles, represented by unique symbols that denote the quality of time. These traditions, passed down through generations, provide insights into the cultural values and beliefs of the Bugis community regarding the optimal timing for various activities. The symbols and guidelines not only embody cultural heritage but also illustrate the interplay between traditional time concepts and mathematical principles, such as patterns in calendar calculations. In Bugis culture, time is more than just the passage of hours—it is a living guide that intertwines spirituality with daily life. Terms like Empty, Dead, Alive, Even, and Full are imbued with profound meanings that influence their actions, ensuring harmony with natural and spiritual rhythms. The traditional time-scoring system maintains balance, but skipping intervals like midday or afternoon can significantly alter the day's designation. Analyzing daily scores and excluded intervals highlights how time segments impact activities and symbolism, with Wednesday and Saturday deemed particularly suitable for farming.
Co-Authors Ahmad Faisal Ardiyanti, Fifi Aris, Fauzan Abdillah Azzahra, Aulia Fajar Arwadi Faruq, Ahmad Al Hassan, Muhammad Nasiru Hisyam Ihsan Irwan Irwan jelita, jelita Khaerati Khaerati, Khaerati Latif, Lhenny Ardillah Mahdiyah, Muyassarah Muhammad Ammar Naufal Muhammad, Fadhel Musyawir, Musyawir Mutmainnah , Nadia Nasrullah Nasrullah Ningsih, Rika Rahayu Novianti, Gita Eka Nurdin Arsyad, Nurdin Nurdin, Nurazizah Nyulle, Rusdianto Pratiwi, Annisa Triananda Pratiwi, Nur Hikmah Kanzha Qalzum, Umrah Nur risaldi, risaldi Saputra, Andika Ardel Satrina, Satrina Sitandi , Flora Frisilia Syahrullah Asyari, Syahrullah Syam , Delia Mustika Syamsuddin Mas'ud Takdirming, Takdirming Thaha, Irwan Utary, Utary Wahyuni, Maya Sari Wihda, Wihdatul Ummi