Abstract
The mathematical study of braids involves with mathematical representations of one-dimensional strands in threedimensional
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 twodimensional
grid of cells which evolve through a time dimension according to specified rules. This time dimension is
often represented as an extra spacial dimension. The ideas of representing both strands in space and cellular automata
have also been explored in many artistic media, including drawing, sculpture, knitting, crochet, and weaving. This
paper presents a system of Stranded Cellular Automata which realistically captures the behavior of strands in certain
media, such as knitting and crochet.
