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I guess that will lose the queen: 8. Qa5+, Qa6 9. Bxa6
I don't understand the sample game in this page; quite possibly I'm missing something obvious. 7...Qxc6 balances material?
The Bishops are placed on opposite-colored squares, like in Fischer Random Chess.
My understanding of 'checkmate' is that no move is available taking the PLAYER out of check. A move merely changing which of two Kings is in check is not a move out of check. This is certainly implicit in my two-rulers-aside games (Magna Carta, Sachsenschach, Unionschach, some forms of Tunnelchess). Here's another question. The sample game has the Bishops on opposite-colour squares. Is this a requirement?
One clarification is needed. If you check one king, such that the only way for that King to get out of check, is to put the other King in check, is the game won? I assume the answer is yes.
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This is basically a random version of Homolateral Chess, except that it was invented earlier.