Playing with the wonderfully-designed littleBits, I connected 1 (one) Battery to one (1) Dimmer module, then to 2 (two) identical RGB LED modules.
When I started to rotate the Dimmer, both LED lights were RED. As I rotated the Dimmer further, one LED light turned to BLUE, while the other LED light turned GREEN. The anomaly may be due to manufacturing process variation or a new phenomenon in physics?