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Im confused about why this is special? If white has mate in two, why would they not if the board was mirrored left-to-right? Couldn’t any chess puzzle could be mirrored like this and have the same, but mirrored solution?
By the title I thought it would be that both white and black would both have mate in two depending on whose turn it is which would be marginally more interesting.
do expand the article and read the notes given below. the author of the site elaborates pretty well why this position has only one different pattern which works in each orientation.
Ah I hadn’t considered that move would still be available in such a late game position.