The problem of fiber packing was initially studied by van in his analysis of the compressibil ity of wool by looking into the geometrical characteristics of a fiber mass formed by fiber packing. Komori and Makishima have examined the details of such geometrical features in a fiber assembly, including the mean fiber contact density and the mean fiber length between two fiber contacts,and the fiber and pore distribution in the fiber assembly. have published an article to review the research progresses in this This can be more rigorously proven by using tensor transformation. However, it should be noted that not all fibers in a yarn are oriented in the same direction, but rather are distributed over a range, and the final result should be from an integration over the whole range of the fiber orientation, and dependent on the fiber orientation function as shown previously.is only an approximation at best.The simple cos