© Chamber of Textile Engineers.A general mathematical definition of woven fabric structures is developed, as based on their structural characteristics, which is expressed in the form of a fabric weight function. This function is composed of the terms representing weights of constituent yarns with their structural characteristics and frequency of use, including also variables denoting weave and design features in single or multi layer fabric structure. In some fancy and figured fabrics extra yarns are used to obtain certain aesthetic features and the general function developed should take into account the manner in which these yarns are used, according to the shedding arrangement of the loom to be employed. A method of structural and aesthetic design is, then, developed using this function, in accord with weaving and aesthetic design requirements, the structural aim being a required unit weight, the aesthetic aim being a desired figure size. The method of design is developed to secure the weavability of fabric on the loom and the dimensional stability of fabric in subsequent use.