In reply to martyrocks:
I can think of a couple of ways for starters.
But a few cheap magnetic relays, commonly known as the magnetic door contacts you get for alarm systems.
Around £2 a pair from RS Supplies. Obviously you'll need to put the stones together in the correct alignment, but you could do this with a mark on the outside so you can line them up.
Alternatively something involving a cheap radio key fob might work so (unknown to your audience) you turn them on yourself.