Pembangkitan pola menggunakan konsep grup kertas dinding

  • Yessica Nataliani Fakultas Teknologi Informasi Universitas Kristen Satya Wacana
  • Theophilus Wellem Fakultas Teknologi Informasi Universitas Kristen Satya Wacana
  • Ade Iriani Fakultas Teknologi Informasi Universitas Kristen Satya Wacana
Keywords: repetitive and symmetrical pattern, wallpaper group, spiral pattern

Abstract

Two-dimensional repetitive and symmetrical patterns are found in everyday life, such as in cloth motifs, decorative art, road pavement design, and floor tiles. The repetitive and symmetrical patterns are formed by geometric transformation, which comprises translation, rotation, reflection, and glide reflection. In mathematics, the study of repetitive patterns on a plane, formed by geometric transformations, belongs to the plane symmetry group. This plane symmetry group is often referred to as plane crystallographic group or wallpaper group that comprises 17 known patterns. The purpose of this research is to generate various patterns from a basic pattern by applying the concept from the   wallpaper group. Furthermore, this research also identifies four cloth motifs and categorizes them to the wallpaper group. This research was conducted by: (1) determining and creating a basic pattern that will be used to form other patterns, (2) generating 17 patterns from the basic pattern based on the patterns in the wallpaper group, (3) identifying some existing motifs downloaded from the Internet and categorize them to the wallpaper group. The basic pattern used in this research is a spiral pattern. The results obtained from this research are the 17 different spiral motifs as well as the identification of four motifs obtained from the Internet to one of the 17 patterns of wallpaper group.

Downloads

Download data is not yet available.

References

[1] EscherMath, "Wallpaper Patterns," November 2020. [Online]. Available: https://mathstat.slu.edu/escher/index.php/Wallpaper_Patterns.
[2] M. F. B. Blanco and L. N. d. C. Harris, "Symmetry Groups in the Alhambra," VisMath, vol. 13, no. 1, 2011.
[3] H. Shin, S. Sheen, H. Kwon and T. Mun, "Korean Traditional Patterns: Frieze and Wallpaper," Handbook of the Mathematics of the Arts and Sciences , pp. 1-16, 2018.
[4] F. Albert, J. Gómis, J. Blasco, J. Valiente and N. Aleixos, "A new method to analyse mosaics based on Symmetry Group theory applied to Islamic Geometric Patterns," Computer Vision and Image Understanding, vol. 130, pp. 54-70, 2015.
[5] A. D. Garnadi, S. Guritman, A. Kusnanto and F. Hanum, "Survei Pola Grup Kristalografi Bidang Ragam Batik Tradisional," Jurnal Matematika dan Aplikasinya, vol. 11, no. 2, pp. 1-10, 2012.
[6] Kartono, R. H. S. Utomo and P. Sidik S., "Kristalografi Bidang Datar Batik Cap," in SNMPM Universitas Sebelas Maret, Solo, 2013.
[7] T. I. Maulidya and R. V. Sihombing, "Pola Kristalografi Bidang Ragam Batik di Yogyakarta," in Seminar Nasional Matematika dan Pendidikan Matematika, Purworejo, 2018.
[8] F. Hoffmann, Introduction to Crystallography, Switzerland: Springer, 2020.
[9] D. W. Crowe, "Symmetries of Culture," BRIDGES: Mathematical Connections in Art, Music, and Science , pp. 1-20, 2001.
[10] Krona100, "Vector tie dye seamless pattern. Batik spiral background.," [Online]. Available: https://www.bigstockphoto.com/image-294318625/stock-vector-vector-tie-dye-seamless-pattern-batik-spiral-background. [Accessed November 2020].
[11] Hisyamrahman, "The beautiful of art Batik Pattern with connecting spiral concepts," November 2020. [Online]. Available: https://www.shutterstock.com/image-illustration/beautiful-art-batik-pattern-connecting-spiral-336228641.
[12] L. Corti, "Furniture Fabric Spiral Black White," November 2020. [Online]. Available: https://www.lisacorti.com/en/catalogue/11659/furniture-fabric-spiral-black-white/.
[13] T. Digital, "Vector - Spiral Batik Flower," November 2020. [Online]. Available: https://www.123rf.com/photo_85487838_stock-vector-spiral-batik-flower.html.
Published
2021-07-17
How to Cite
Nataliani, Y., Wellem, T., & Iriani, A. (2021). Pembangkitan pola menggunakan konsep grup kertas dinding. AITI, 18(1), 1-13. https://doi.org/10.24246/aiti.v18i1.1-13
Section
Articles