Mathematical Topology Meets Tradition: Alexander Polynomial Analysis of Sidalungguh Ketupat Weaving Patterns
DOI:
https://doi.org/10.30605/proximal.v8i1.4869Keywords:
Topology, Knot Theory, Sidalungguh Ketupat, Alexander Polynomial, CultureAbstract
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.
Downloads
References
Buck, D. (2009). DNA topology (pp. 47–79). https://doi.org/10.1090/psapm/066/2508728
D.W. Sumners. (2007). DNA Topology: Experiments and Analysis. In Knot Theory for Scientific Objects. Proceedings of the International Workshop on Knot Theory for Scientific Objects, A. Kawauchi, Ed., OCAMI Studies, 213–237.
Ja ’faruddin. (2024). Knot Theory and Culture: An Exploration of Alexander Polynomial in Ketupat Bata. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 7(2), 584–592. https://doi.org/10.30605/proximal.v5i2.3767
Ja’faruddin. (2024). Unveiling the Hidden Mathematics in Traditional Indonesian Culinary Art: An Exploration of Knot Theory and Alexander Polynomial in Ketupat Telur. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika. https://doi.org/10.30605/proximal.v5i2.3755
Ja’faruddin, & Chen, W.-H. (2024). Topology And Tradition: The Knot Polynomials of Ketupat Nabi. ITM Web of Conferences, 58, 01009. https://doi.org/10.1051/ITMCONF/20245801009
Johar, R., Mailizar, Safitri, Y., Zubainur, C. M., & Suhartati, S. (2023). The Use of Mathematics Comics to Develop Logical-Mathematical Intelligence for Junior High School Students. European Journal of Educational Research, 12(2). https://doi.org/10.12973/eu-jer.12.2.1015
Michael Angrosino. (2557). Doing Ethnographic and Observational Research. In วารสารสังคมศาสตร์วิชาการ (Vol. 7, Issue 2).
SIDNEY A. MORRIS. (2014). Topology without tears. In World War II (Issue October 2007). http://www.topologywithouttears.net/topbook.pdf
Parratt, A. (2000). Case study research in educational settings. In Teacher Development (Vol. 4, Issue 3). https://doi.org/10.1080/13664530000200293
Paul Atkinson, Amanda Coffey, Sara Delamont, J. L. and L. L. (2557). Handbook of Ethnogrphy. In J. L. and L. L. Paul Atkinson, Amanda Coffey, Sara Delamont (Ed.), SAGE Publications Ltd (Vol. 7, Issue 2). SAGE Publications Ltd.
Plomp, J. van den A. B. B. A. E. K. N. N. T. (2013). Educational Design Research Educational Design Research. Educational Design Research, 1–206. http://www.eric.ed.gov/ERICWebPortal/recordDetail?accno=EJ815766
Shirawia, N., Alali, R., Wardat, Y., Tashtoush, M. A., Saleh, S., & Helali, M. (2023). Logical Mathematical Intelligence and its Impact on the Academic Achievement for Pre-Service Math Teachers. Journal of Educational and Social Research, 13(6). https://doi.org/10.36941/jesr-2023-0161
Taylor, P. C., & Medina, M. N. D. (2013). Educational research paradigms: from positivism to multiparadigmatic. Journal of Meaning-Centered Education, 1(2007), 1–16. https://doi.org/10.13140/2.1.3542.0805
Downloads
Published
How to Cite
Issue
Section
License
In submitting the manuscript to the journal, the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere,
- That its publication has been approved by all the author(s) and by the responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
License and Copyright Agreement
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
