I'm trying to design a simple circuit that is fail-safe. I have an infinite number of SPDT switches at my disposal and the situation I'm trying to avoid it having all lamps lit simultaneously.
With two lamps, the solution is quite trivial, and I've illustrated it below. In the circuit shown, it is physically impossible to have both lamps lit at the same time.
I now want to extend this to three lamps: any combination of zero, one or two lamps can be lit, but having three lamps lit at the same time should be impossible. Is this even possible?