Recursive Modelling of 3D Rectangular Braid

3D Braiding is a very important technique in the manufacturing of textile composites. Conventionally, the simulation of a 3D braid can easily be achieved by simulating each crosssectional. In this article, a recursive technique is presented. Formal proof of all the key properties of the recursive representation of the 3D braid is included. A performance analysis is also presented to show that this recursive method is more cost effective in simulating the yam path of any particular yam than the conventional method.