Abstract: An LED light band has a thin elongated housing with an open front face covered by an elongated transversely corrugated polycarbonate lens having crests and nadirs spaced at a first predetermined interval. A linear array of LEDs extending behind and along the bottom edge of the lens are spaced at a second predetermined interval different from the first. Because of the difference in the intervals, the light dispersion from the lens appears to the eye to be random so that, for example, a red lens can be used to suggest the presence of licking flames. The polycarbonate lens can be made by pressing long narrow lengths of flat polycarbonate in a sheet metal press.