Crystallographic patterns in Philippine indigenous textiles

Abstract

The aim of this study was to analyze a representative sample of Philippine indigenous textiles in order to capture the range of symmetries and color symmetries present. This paper examines the existence of symmetries in finite designs, and classifies the plane-group and frieze-group symmetry types of the repeated patterns in woven textiles. The tendency of a particular symmetry to be more or less common than another can indicate relationships between the symmetries and the weaving technique or the culture that produced them. This paper will also examine designs and patterns with color symmetry found in these textiles. The sample consisted of 588 repeated patterns and finite designs in textiles (389 plane, 166 frieze and 33 finite) culled from well known museums in the Philippines, personal collections of scholars, existing literature on Philippine textiles and field visits.research papers

Plane and Frieze Symmetry Group Determination for Educational Purposes

“…Of course, all over the world, educators can find other interesting and unusual objects which are familiar to the students and which will reinforce their motivation and interest in symmetry. 20 , 21 , 45 …”

“…Some of the presented patterns can be also used in teaching the symmetry of layer or rod ornaments which can serve as a “bridge” between frieze or plane groups and space groups. Of course, all over the world, educators can find other interesting and unusual objects which are familiar to the students and which will reinforce their motivation and interest in symmetry. ,, …”

“…Of course, all over the world, educators can find other interesting and unusual objects which are familiar to the students and which will reinforce their motivation and interest in symmetry. 20,21,45 Although some methods of symmetry group determination are even faster and simpler than the technique presented here (i.e., methods not involving Bravais lattice type), from the didactic point of view it may sometimes prove beneficial to use the procedures described in this paper. As we have observed in our educational practice, students often confuse and fail to differentiate between (i) symmetry of the unit cell parallelepiped, (ii) symmetry of the Bravais lattice, and (iii) symmetry of the pattern 46 in cases where these three aspects are not the same.…”

Design research with the use of visual and symmetry analysis in indigenous woven textiles

“…In the supplementary weft technique, the additional weft threads are made to float over warp threads in a planned sequence to create the design or pattern. If the supplementary threads extend from edge to edge, they are 'continuous', but if they only go back and forth in small areas where they are needed, they are 'discontinuous'' (De Las Pen ˜as et al, 2018).…”

Frieze Group in Generating Traditional Cloth Motifs of the East Nusa Tenggara Province

“…One of the mathematical formulas that can be applied is crystallographic patterns. Some research about finding the crystallographic patterns for traditional clothes can be found in (De Las Peñas et al, 2018;Hobanthad & Prajonsant, 2021;Kartika et al, 2022;Libo-On, 2019;Vasquez et al, 2020). Another mathematical formula that can be used is Frieze groups (Davvaz, 2021).…”