Posted 10 November 2012 - 07:57 AM
Once again we have had bad electrical advice, concerning a mysterious (completely illegal) relay which controls all the lights, and correct advice which says that there is no fuse in the headlight circuit, except for the dim dip.
Your problem is probably with the fuse which has red and red/green wires attached. The red comes from the light switch, and the red/green divides several ways to go to the side and rear lights. It may be an inline fuse, or in the box, depending on model and year. I am trying to encourage people to become more familiar with the wire colours, as they are consistent on all Minis, and even if the Haynes manual does not have a diagram for your exact model, using the nearest available diagram and comparing colours will generally get you to the problem.
As for the dim dip relay, it is an abomination which is not required (the anticipated law never was introduced), and as it can cause failure of the dipped headlights (NOT any other lights!), it is best removed, and its blue/brown and blue/red wires permanengtly linked.