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Do the rules of chess permit capturing a piece while castling as long as no "check" is involved?

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No, because the rules also state that there is to be no pieces or threatened squares between the King and the Rook.

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Not allowed according to FIDE laws of chess, basic rules of the game (see www.FIDE.com),
Article 3 The moves of the Pieces, 3.8 King moves,
ii.castling, (2) castling is prevented temporarily
b) if there is any piece between the king and the rook with which castling is to be effected.

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Originally posted by Mephisto2

b) if there is any piece between the king and the rook with which castling is to be effected.
Perhaps if one's King were to use some kind of analgesic matter-transference weapon?

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Originally posted by camilli
Do the rules of chess permit capturing a piece while castling as long as no "check" is involved?
No. But, perhaps ironically, it's possible to checkmate your opponent this way.

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Originally posted by Bowmann
No. But, perhaps ironically, it's possible to checkmate your opponent this way.
What's the relevance (and irony) of that? Some checkmates involve capturing, others don't. Some checkmates involve castling, others don't. This is about capturing and castling.

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Originally posted by Mephisto2
What's the relevance (and irony) of that? Some checkmates involve capturing, others don't. Some checkmates involve castling, others don't. This is about capturing and castling.
My point was that checkmate is usually a little better than a mere capture.

Cor!

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Originally posted by Fat mans revenge
No, because the rules also state that there is to be no pieces or threatened squares between the King and the Rook.
There can be threatened squares between the king and rook as long as the king doesn't pass through check.

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Originally posted by MikeXx2020
is that the 1st half sensible 2 posts bowmann has posted? AND MORE,in the same topic??!?!?!?!! CALL THE NEWS
Mary had a little lamb
Its fleece was black as soot
And everywhere that Mary went
Its sooty foot he put.

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Originally posted by MikeXx2020
is that the 1st half sensible 2 posts bowmann has posted? AND MORE,in the same topic??!?!?!?!! CALL THE NEWS
(half) Sensible, yes. But still off topic. Simple direct questions deserve simple direct answers. This was one of them.

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Originally posted by Mephisto2
(half) Sensible, yes. But still off topic. Simple direct questions deserve simple direct answers. This was one of them.
Which?

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Originally posted by Freddie2004
There can be threatened squares between the king and rook as long as the king doesn't pass through check.
Almost correct. See how easily people get these things wrong.

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Originally posted by Bowmann
Almost correct. See how easily people get these things wrong.
So what is wrong with it?