The Crossbishop slides like a rook. It can make a capture by jumping over a piece of any colour. If an enemy piece is positioned immediately behind the jumped piece it will be captured (this is a "strong" Crossbishop). But if the square behind the jumped piece is empty then the Crossbishop can slide like a bishop in the prolonged movement direction (two alternative directions). The strong Crossbishop's value is 5, that is, the same as a rook. Otherwise the rules are the same as in standard chess, except for the possible promotion to Crossbishop.
Although the Crossbishop loses 'screens' to jump over when the pieces become fewer, it becomes more mobile when the orthogonals are cleared from pieces. Thus it often retains its value in the endgame. Note that the Crossbishop can have a big influence from behind the friendly pawn chain, especially if it can slide along the first rank. Crossbishop Chess (8x10) and the new Crossbishop piece, were invented by undersigned, August 2006.
The Crossbishop, slides like a rook, but captures by a jump followed
by a bishop's slide. Had there been an
enemy piece at the position marked
with a green ring, it could have been
captured (as this is a "strong"
Crossbishop).