Coordinate-Parametric Matrix Model Inspired Square-Conjoint Pattern in Cross Woven for Conventional Bamboo Mat

Abstract

In the study, it is proposed that a coordinate-parametric matrix model is performed to a square-conjoint pattern of cross woven (SCPCW) in the bamboo mat. The patterns of SCPCW are firstly detected according to the perspective of configuration, which is divided into the basic-monomer shape and the basic combination shape. Secondly, the compositions of design patterns in SCPCW are analyzed to attain the trend of curve shape. Based on the coordinate-parametric matrix model, the specimens of SCPCW are subsequently accomplished to elaborate the woven logic of bamboo mats. The digital innovation of SCPCW, defined by a mathematical resolution, is implemented by the software of Grasshopper (GH), which plays a crucial role in capturing image information by the Image Sampler component. Successively, the weaving logic of coordinated matrix is referred to apply in the computing component of Grasshopper software. Finally, the computer simulation could demonstrate that the coordinate-parametric matrix model of SCPCW would be realized to analyze the micro-weaving structure and overall weaving effect in the bamboo mat.