A fabric-based item may include fabric formed from intertwined strands of material such as intertwined strands of tubing. The strands of material may include electrophoretic ink formed from charged nanoparticles of different colors in fluid. The electrophoretic ink may be contained within strands of tubing or may be enclosed within encapsulation structures such as encapsulation spheres. Encapsulation spheres or other encapsulation structures may be embedded in clear polymer binder within tubing or other strands. Electroluminescent particles may be included in the clear polymer binder. Electric fields can be applied to the electrophoretic ink in a given area of the fabric using conductive strands that overlap the area, using conductive electrodes such as transparent conductive electrodes on strands of tubing, using coaxial electrodes, or using other electrode structures.