Strands of material may be intertwined using weaving techniques, knitting techniques, non-woven or entanglement techniques, or braiding techniques. Fabric that is formed from the strands of material may be used in forming a fabric-based item. The fabric based item may include electrical components. The strands may include conductive strands that form signal paths. The signal paths can carry electrical signals associated with operation of the electrical components. Each strand may have an elongated core and a coating. Strands may also include intermediate layers between the cores and coatings. The cores, intermediate layers, and coatings may be formed from polymer without conductive filler, polymer with conductive filler, and/or metal. A polymer core may be provided with recesses to help retain subsequently deposited layers such as a metal coating layer. The recesses may be grooves that extend along the longitudinal axis of the core.