This variant of Lines of Action is created by John McCallion who was inspired by Cheshire Cat Chess game because the basic idea is very similar. The idea is based on a fictional cat appearing in Lewis Carroll's Alice's Adventures in Wonderland, which appears and disappears at will.
The game is played with standard Lines of Action rules but there are two important changes:
When a piece is moved, its former square disappears and no piece can move to it (but pieces can be moved over disappeared squares).
If a piece cannot make a normal move, it can be simply removed from the board (which makes a legal move) and its square disappears.
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