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I can't tell about the specifics of Ice Age Chess and I agree that the fair way to tell would be to ask the inventor, but IMHO DarwinKoala has the right line of thought. A mate is not a mate if you can't actually take the king at the next move.
For an extreme example, consider a hypothetical variant where the queen is not allowed to move a single square (to make a king's move). You play 1.e4, 2.Bc4, 3.Qf3, 4.Qxf7. It would sound odd to claim that it is a mate because it would be a mate in orthochess, wouldn't it ?
As for the unwanted possibility of a king "moving into check", I think it is playing with words. If a king can't be taken at the next move, then its "moving into check" is just a potent optical illusion.
It is always possible to decide otherwise, but I think that in general variant design, playing up to the capture of the king should be the default.
(ascunde) Dacă vrei să te joci cu un adversar care un BKR asemănător cu al tău,uită te la pagina cu Raitinguri a jocului respectiv. (pauloaguia) (arată toate sfaturile)