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I think this version of hexagonal chess has one fatal flaw: The kind has too much mobility and is too difficult to checkmate. In FIDE chess, it is possible for force a checkmate with a king + rook against a bare king; in hexagonal chess, one needs considerably more material to checkmate a bare king.
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I think the easiest and best way to compensate for this is to have the king only able to move to a fully adjacent hex, reducing its move to that of a rook going one square. This way, the bare king can be captured by an opponent's rook and king, just like in FIDE chess.
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- Sam