The mathematical study of braids combines aspects of topology and
group theory to study mathematical representations of one-dimensional
strands in three-dimensional space. These strands are also sometimes
viewed as representing the movement through a time dimension of points
in two-dimensional space. On the other hand, the study of cellular
automata usually involves a one- or two-dimensional grid of cells
which evolve through a time dimension according to specified
rules. This time dimension is often represented as an extra spacial
dimension. Therefore, it seems reasonable to ask whether rules for
cellular automata can be written in order to produce depictions of
braids. The ideas of representing both strands in space and cellular
automata have also been explored in many artistic media, including
knitting and crochet, where braids are called "cables". We will view
some examples of braids and their mathematical representations in
these media.