An illustrative modular light fixture apparatus may comprise a plurality of modules, each having a base component and a cover component. The base component has a split vertical male plug positioned within a cylindrical recess, and a cylindrical female receptacle formed at an opposite end thereof. The cylindrical female receptacle and split male plug are so configured such that the female receptacle of one module will snap fittingly or otherwise interconnect with the split male plug of another module. The cover component has respective pairs of rectangular openings on first and second sides thereof configured to snap fittingly engage respective tabs on the sides of the base component as the cover component is pushed downwardly over the base component to thereby attach the cover component to the base component.