AbigailII: Ok, that's probably better. Or maybe 'number of checks' would be even more precise than 'number of kings in check' ? One king might be in check from several pieces.

I'm also not sure I understand the purpose of rule 12. It could complicate the whole 'number of kings in check' issue, but maybe that's the point? Consider a situation where your knight and king both threaten my king. The dice tells me to move my queen, and as it happens, my queen is placed in such a way that it could capture both of the threatening pieces. According to rule 12, I would have to take the knight because it gives check, although capturing the attacking king makes more sense.