Second article in Ralph Griswold's series on L-Systems in weave design. It is a deliberate detour into graphics: it shows how string-rewriting rules, with characters read as drawing commands (forward, turn, save and restore position), produce branching tree images. It gives an example L-System with a 22.5-degree turn angle, a table of string lengths across eight generations, and a pointer to freeware such as Lparser. It says later articles will apply these ideas to weave design.