Electronic textiles (e-textiles) are emerging as a novel method for constructing electronic systems in wearable and large area applications. This new type of processing system merges textile and electronic technologies. This paper studies the communication requirements between the computing and sensing elements of an e-textile. This communication is studied through the construction of a prototype as well as through modeling and simulation. A new algorithm based on token grid schemes is presented that takes advantage of the e-textile physical configuration.