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Fischer Random Chess. Play from a random setup. (8x8, Cells: 64) (Recognized!)[All Comments] [Add Comment or Rating]

Dave Coffin wrote on Wed, Nov 6, 2002 09:43 PM UTC:

Oops, my bad.  There are 28 ways for the bishops to fall into the home row:
 16 ways are Fischer-legal and 12 aren't.  So there is no possible
one-to-one mapping of illegal positions to legal ones.  To be totally
unbiased, my Step #2 would have to say, 'If the bishops occupy the same
color, start over.'

My Step #3 is OK, though.  For every legal arrangement of king and rooks,
there are exactly two illegal ones.