Application of Wallpaper Group P6m to Creation of Handwoven Mudmee Silk Patterns

Main Article Content

Samkhan Hobanthad
Sombat Prajonsant


This article presents the creation of wallpaper which are classified as Mudmee group P6m. Motifs used for pattern development are the original patterns used in Mudmee weaving in Buriram Province, Thailand. Two patterns, Khom Pratheep and Khor Bin Thai, are specifically chosen. Results of the study reveal that both primary patterns can be developed into Mudmee fabric pattern having the symmetry of group P6m, using point group P6m in combination with tie-dyeing (IKAT) technique and “Mee Luad” technique.


Download data is not yet available.

Article Details

How to Cite
Hobanthad, S., & Prajonsant, S. (2021). Application of Wallpaper Group P6m to Creation of Handwoven Mudmee Silk Patterns. วารสารคณิตศาสตร์, 66(704), 7 - 25. etrieved from
Academic Article


Bodner B. L. (2013). The Planar Crystallographic Groups Represented at The Alhambra. Proceeding of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (p. 255 - 232). Enschede, Netherlands.

Cohen M. M. and Pilgrim K. M. (2004). Groups and Geometry: A Bridge to The Math Major. Retrieved from

Fedorov E. S. (1891). The Symmetry of Real Systems of Configurations. Zap. Min. Obshch., 28, p. 1 - 146.

Glenn R. L., Haftamu M. G. Y. and Fahad M. H. K. (2014). Symmetry Groups of Islamic Patterns at The Sultan Qaboos Grand Mosque. Proceeding of Bridges 2014: Mathematics, Music, Art, Architecture, Culture (p. 183 - 190). Seoul, Korea.

Hobanthad S., Prajonsant S. and Vongpramate D. (2017) Matrix Transformation Analysis of Mee Laud Technique in Mudmee Pattern. Proceedings of 55th KU Annual Conference, Science Technology and Environment (p. 1 - 10). Bangkok, Thailand.

Lekka L. and Dascalopoulos S. (2008). Motifs and Symmetry Characteristics of The Ornamentation on Traditional Greek Woven Textiles from The Area of The Aegean. Fibres and Textiles in Eastern Europe. 68, p. 74 - 68.

Malouise A. N. L. P. and Analyn V. S. A. (2016). Mathematical and Anthropological Analysis of Northern Luzon Funeral Textile. Philipp. J. Sci., 145, p. 89 - 103.

Nagpaul S. R. and Jain S. K. (2005). Topics in Applied Abstract Algebra. The Brooks/Cole Series in Advanced Mathematics. CA, USA: Thomson Learning.

Perez-Gomez R. (1987). The Four Regular Mosaic Missing in The Alhumbra. Computer and Mathematics with Application. 14, p. 133 - 137.

Polya G. (1924). Uber die Analogie der Kristallsymmetrie in der Ebene. Zeitschrift fur Kristallograpie-Crystalline Materials. 60, p. 278 - 282.

Prajonsant S. (2018). Pojakapat, Thai Traditional Floral Mobiles : From Fine Arts to Mudmee Motifs. Proceedings of Thailand Design & Research Conference (p. 266 - 232). Khon Kaen, Thailand.

Reinhardt P. A. and Welter L. (1999). Symmetry Analysis of Embroideries on Greek Women's Chemises. Clothing and Textiles Research Journal. 17, p. 176 - 190.

Schattschneider D. (1978). The Plane Symmetry Groups: Their Recognition and Notation. The American Mathematical Monthly. 85, p. 439 - 450.

Vongpramate D., Hobanthad S. and Prajonsant S. (2018). Development of Simulation Software for Mudmee Silk from Buriam Local Wisdom. Thai Science Technology Journal. 26, p. 1264 - 1272.