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You don't have to imagine bent sliders. If a Rook captured a Scout on its starting space, I presume it would not be able to capture a Cleric still on its starting space. Since Chesire Cat Chess removes spaces from the regular playing area and still includes sliders, it makes sense that it would allow moving over non-existing spaces. But I think that the rule in Chesire Cat Chess is going to be the exception, not the default behavior. Game Courier, for example, would not allow movement across non-existing spaces, and for a game like Chesire Cat Chess, an exception would have to be programmed in. In this game, there are non-existing spaces only between spaces whose only purpose is to provide a launching area for extra pieces to enter the main playing area.