Weaving equipment may include strand positioning equipment that positions warp strands and that inserts weft strands among the warp strands to form fabric. The weaving equipment may include one or more guide arms that pushes warp strands in the weft direction during weaving. Fabrics having warp strands that extend in both the warp direction and the weft direction may be used in forming circuitry in fabrics such as touch sensor circuitry. For example, a touch sensor in a fabric may be formed using first conductive warp strands that form first touch sensor electrodes and second conductive warp strands that form second touch sensor electrodes that overlap with the first touch sensor electrodes. The second conductive warp strands may each have a first portion that extends in the warp direction and a second portion that extends in the weft direction across the first touch sensor electrodes.