A short web article by Ralph Griswold introducing fractal sequences and how they can be used in weave design. It explains self-similarity and decimation rules, then covers bounded sequences (Morse-Thue, rabbit), unbounded ones (signature sequences, Kimberling sequences), and periodic sequences. It shows how to adapt them as threading and treadling sequences via modular reduction and as warp and weft color sequences, with sample drafts and a color swatch. It closes with advice on choosing sequences and finding them in the On-Line Encyclopedia of Integer Sequences, plus references.