Generation of YuBraj Twist and YuBrajTwest Weaves

Twill weaves is one of the most popular weaves used in weaving. It has been found that twill weaves can be conveniently generated from the left circulant matrices. By introducing a shift parameter in the generation of twill weaves from left circulant matrices, we could generate YuBraj twill weaves which can be considered as generalized twill weaves. Twill weaves are the YuBraj twill for which the shift factor is fixed to 1. With the introduction of shift values, more numbers of weave patterns can be generated. On further study, it has been found that two more variants of circulant matrices, namely right circulant and down circulant matrices can also be used for generation of weave matrices or patterns. The weave patterns generated from right circulant matrices are known as twist weaves and the weave patterns generated from the down circulant matrices are known as twest weaves. These two weave patterns (i.e., twist and twest) weaves has similar characteristics with twill weaves in their generation process. In this paper, we generalize the twist and twest weaves by introducing shift parameter as in YuBraj twill weaves to generate more numbers of twist and twest weave patterns. These generalized twist and twest weaves will also be known respectively as asYuBraj Twist and the YuBrajTwest weaves. In the experimental results, we show the difference between the YuBraj Twill, YuBraj Twist and YuBrajTwest weaves for the same input parameters. For the same input parameters, these weaves gives significantly different weave patterns.