Techniques are disclosed for designing light fixtures for flexible LED circuit boards. The flexible LED circuit boards include an array of LED packages and the surface of the flexible circuit boards is highly reflective. A flexible LED circuit board may be shaped to conform to a rigid preform and the preform may be concave, convex, corrugated, or have any other custom shape. The shape of the preform, as well as the location of the LEDs within the flexible LED circuit may determine the light distribution of the light fixture. Alternatively, the lighting fixture may have multiple rods held in place with side plates and a flexible LED circuit board may be woven between the rods. A set of hole patterns in the side plates determine the location of the rods and the rods will determine the shape of the flexible LED circuit.