Unveiling The Hidden Mathematics In Traditional Indonesian Culinary Art: An Exploration of Knot Theory And Alexander Polynomial in Ketupat Telur
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.Downloads
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Arif, M., & Lasantu, M. Y. (2019). Nilai pendidikan dalam tradisi lebaran ketupat masyarakat Suku Jawa Tondano di Gorontalo. Madani: Jurnal Pengabdian Ilmiah, 1(2), 144-159.
Buck, D., Cantarella, J., Sullivan, J. M., & von der Mosel, H. (2013). Geometric Knot Theory. Oberwolfach Reports, 10(2), 1313-1358. doi:10.4171/OWR/2013/22
Dawson, A. J. (2015). Mathematics and Culture in Micronesia: An Exploration of the Mathematical Aspects of Indigenous Practices. In S. Cho (Ed.), The Proceedings of the 12th International Congress on Mathematical Education (pp. 233-247). Springer. doi:10.1007/978-3-319-12688-3_77
Dwi, A. A., & Farabi, Z. A. (2017, Oktober 3). Detik food. Dipetik November 10, 2020, dari Detik.com: https://food.detik.com/infografis/d-3668651/mengenal-bentuk-bentuk-ketupat tradisionalindonesia
Fuat, F., Rohibni, R., & Rayungsari, M. (2024). Unraveling trends in temple ethnomathematics research and the evolution of the mathematical landscape. Indonesian Journal of Science and Mathematics Education, 7(1).
Gabriel, G. I., & Uma. (2023). Compositions of Knots Using Alexander PolynomialarXiv preprint arXiv:2307.008062.
Hasibuan, E. K., & Dewi. (2024). The Relation Between Mathematics Philosophy And Culture-Based Learning Model. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang.
Hotima, H., & Hariastuti, R. M. (2021). Ketupat Desa Alasmalang Banyuwangi: Menggali Matematika Dalam Budaya. Jurnal Magister Pendidikan Matematika (JUMADIKA), 3(1), 16–25. https://doi.org/10.30598/jumadikavol3iss1year2021page16-25
Hutauruk, A. J. (2020). Karakteristik Etnomatematika dalam Pembelajaran Sekolah. Prosiding Webinar Ethnomathematics Magister Pendidikan Matematika Pascasarjana Universitas Hkbp Nommensen, 58-62.
Ja’faruddin & Iluh Epin Sugianti. (2024). knot polynomials ketupat telur, Tugas MK Matematika tingkat tinggi, UNM Makassar, tidak dipublish.
Ja’faruddin, Chen. W.-H. (2023, December). Ethnomathematics in Wedding Traditions. In 5th International Conference on Statistics, Mathematics, Teaching, and Research 2023 (ICSMTR 2023) , (pp. 145-154). Atlantis Press. https://doi.org/10.2991/978-94-6463-332-0_17.
Ja’faruddin, Upu, H., Chen, W.-H., & Teng, D. C.-E. (2020). The Comparison between Two Hypnoteaching Models in Mathematics Teaching and Learning. International Electronic Journal of Mathematics Education, 15(3), em0607. https://doi.org/10.29333/iejme/8480.
Ja'faruddin. (2014b). Hypnoteaching as A Teaching Model. International Confrence on Mathematics , Science, Technology, Education and Their Application; ISBN:979-604-151-0. Makassar: Universitas Negeri Makssar.
Ja'faruddin. (2021). Ethnomathematics Projects for Topology Projective and Geometry in Distance Learning. The 1st ICoESM 2021. Makassar, Indonesia: ICoESM 2021.
Jafaruddin, & Chen, W.-H. (2024). Topology And Tradition: The Knot Polynomials of Ketupat Nabi. In ITM Web of Conferences, (Vol. 58, p. 01009). EDP Sciences. https://doi.org/10.1051/itmconf/20245801009.
Jafaruddin, Ilham, M., & Sulaiman. (2023). Implementasi Hypnoteaching Dalam Pembelajaran pada Guru-guru Matematika di Kabupaten Takalar. Jurnal Hasil-Hasil Pengabdian dan Pemberdayaan Masyarakat, 300-305. https://doi.org/10.35580/jhp2m.v2i2.834.
Jafaruddin, J. & Chen, Wen-Haw. (2023). Fostering Ethnomathematics in Projective Geometry: A Hypnoteaching Framework for Effective Distance Learning. Southeast Asian Mathematics Education Journal, 13(2), 85-108.
Jafaruddin, J., & Chen, W.-H. (2023). Fostering Ethnomathematics in Projective Geometry: A Hypnoteaching Framework for Effective Distance Learning. Southeast Asian Mathematics Education Journal, 85-108. https://doi.org/10.46517/seamej.v13i2.240.
Jafaruddin, 2023. Geometry, Ethnomathematics, and Simple House Theory, Global Research and Consulting Institute (Global-RCI)
Ja’faruddin & Haw, C. W. (2024). Topology And Tradition: The Knot Polynomials of Ketupat Nabi. ITM Web of Conferences, 58, 01009. https://doi.org/10.1051/itmconf/20245801009
Johnson, J. D., Smail, L., Corey, D., & Jarrah, A. M. (2022). Using Bayesian Networks to Provide Educational Implications: Mobile Learning and Ethnomathematics to Improve Sustainability in Mathematics Education. Sustainability, 14(10), 5897. doi:10.3390/su14105897
Leton, S. I., Dosinaeng, W. B., & M Lakapu. (2020). Ethnomathematics in Boti tribe culture and its integration. Journal of Physics: Conference Series, 1657(1), 012021. https://doi.org/10.1088/1742-6596/1657/1/012021
Murasugi. (1997). Knot theory and its applications. Researcher Life. Retrieved from https://discovery.researcher.life/article/knot-theory-and-its-applications/4b8c4f2ed55736d19b2c3adc127901f8
Risnanosanti, R. (2024). Mathematics Concepts in Making Kites as a Tool in Ethno-STEM Based Learning. International Journal of STEM Education for Sustainability.
Sartini, Ni Wayan. (2017). Makna simbolik bahasa ritual pertanian masyarakat Bali. Jurnal Kajian Bali (Journal of Bali Studies), 7.2: 99-120.
Septianawati, T., E Puspita, Turmudi. (2017). Ethnomathematics study: uncovering units of length, area, and volume in Kampung Naga Society. Journal of Physics: Conference Series, 902, 012028. doi:10.1088/1742-6596/902/1/012028
Sholihah, M., & Marsigit. (2022). Ethnomathematics: Exploration mathematics learning resources in Osing culture. AIP Conference Proceedings, 2575, 080010. doi:10.1063/5.0108520
Supriyadi, E., Dahlan, J. A., Juandi, D., Turmudi, T., & Sugiarni, R. (2022). Ethnomathematics in Sundanese Culture from Scopus Database: Systematic Literature Review. Triple S (Journals of Mathematics Education), 5(2).
Utami, W. B, Sri Adi Widodo, Dian Permatasari, Fikri Aulia, Muhammad Taqiyuddin. (2022). Ketupat Eid Tradition Of The North Coast Of Java As An Alternative Mathematics Learning Media. Infinity Journal.
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