NOVELYN B. VALERA
https://orcid.org/0000-0003-1075-399X
valeravhong24@gmail.com
Abra State Institute of Sciences and Technology
Bangued, Abra, Philippines
REYMOND S. VASQUEZ
https://orcid.org/0000-0001-8513-390X
reymondvasquez990@yahoo.com
Abra State Institute of Sciences and Technology
Bangued, Abra, Philippines
Abstract
This study was carried out to determine the geometric concepts, reveal the symmetry analysis, unveil the crystallographic pattern embedded in the bamboo woven crafts of Udangan, La Paz, Abra. It aimed to open a door for students’ exploration and investigation to enhance abstract, creative, and critical thinking. Furthermore, it aimed to give mathematics educators a springboard to transform students’ knowledge to real-world learning experiences. On the other hand, Mixed method of research was employed specifically the Ex-post Facto Analysis and Descriptive method of research. It was done by capturing photos on the patterns and designs of the bamboo woven crafts and had been analyzed using the International Union of Crystallography (IUC) notation. Investigation established that, there were geometric concepts, symmetry analyses, and crystallographic patterns exhibited in the bamboo woven crafts. It was then concluded that, the bamboo woven crafts of La Paz Abra display geometric concepts like points, lines, and planes; symmetry analyses such as reflection, rotation, translation, and glide reflection; and crystallographic group, frieze and wallpaper patterns. The dominant frieze patterns found were pm11 and p1m1, while the dominant wallpaper pattern found was p4g. Other frieze patterns found were pmm2 and pma2, while, other wallpaper patterns were pgg, pg, pmm, cmm, p4, p3, and cm.
Keywords
Crystallography, Geometry, Symmetry Analysis, Bamboo Woven Crafts, Abra, Philippines
References
Meriam Webster Dictionary 2020
Vasquez, R., Valera, N., & Zales, J., (2020). “Crystallographic Pattern
Analysis of the Loom Woven Clothes of Abra”. Abra State Institute of Sciences and Technology. International Journal of Innovation, Creativity and Change, Volume 14, Issue 3, 2020.
Electronic References
Campbell, P.J. (1989). “The Geometry of Decoration of Prehistoric Pueblo Pottery from Starkweather ruin”. Beloit: Pergamon Press plc retrieved on July 10, 2022 from 1-s2.0-0898-122189902599-main.pdf
De Las Peñas, M.L., Garciano, A. & Verzosa, D.B. (2014).“Color Symmetry in the Hand Woven of the Jama Mapun”. Department of Mathematics. Ateneo de manila University. Retrieved on July 10, 2022 from https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1027&context=mathematics-faculty-pubs
De Las Peñas, M.L. & Salvador-Amores A. (2016). “Mathematical and Anthropological Analysis of Northern Luzon Funeral Textile”. Department of Mathematics, Ateneo de Manila University. Retrieved on July 10, 2022 from https://philjournalsci.dost.gov.ph/images/pdf/pjs_pdf/vol145no1/pdf/mathematical_and_anthropological_analysis_of_funeral_textile_FINALCOPY.pdf
Department of Education 2015.”All Set for K to 12 implementation”. Retrieved on October 10, 2020 from http://k12philippines.com/
Domingo, L., (2018). “Abra Discovering Potentials of Bamboo Vlog”. Retrieved on October 10, 2020 from https://www.manilatimes.net/2018/04/05/business/green-business/abra-discovering-potentials-of-bamboo/390477/
Encyclopedia Britannica, inc. (2020). “Crystallography”. Retrieved on october 9 2020 from https://www.brtannica.com/biography/Charles-Mauguin
Howe, E., (2018). “Let’s Teach Students why Math matters in the real World”. Thompson Rivers University, New York City. Retrieved on October 9,2020 from https://www.google.com/amp/s/theconversation.com/amp/lets-teach-students-why-math-matters-in-the-real-world-102316
Rapanut, T.A., Baylas IV, N. A., & De Las Penas, M. L. (2012), Weaving Symmetry of The Philippine Northern Kankana-ey retrieved on July 10, 2022 from http://archive.bridgesmathart.org/2012/bridges2012-267.pdf)
Vasquez, R., Valera, N., & Zales, J., (2020). “Crystallographic Pattern
Analysis of the Loom Woven Clothes of Abra”. Abra State Institute of Sciences and Technology. International Journal of Innovation, Creativity and Change, Volume 14, Issue 3, 2020. Retrieved on July 9, 2022 from https://www.ijicc.net/images/Vol_14/Iss_3/14323_Vasquez_2020_E_R.pdf
Washburn, D. K (1988). Analysis of pattern structure by geometric symmetries. Retrieved on August 28, 2017 from http://digitalcommons.unl.edu/tsaconf/649
Washburn, D. (2012). “Analysis of Pattern Structure by Geometric Symmetries”. University of Rochester. Retrieved on February 2, 2021 from https://digitalcommons.unl.edu/tsaconf/649/.