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Bishop

The Bishop retains its usual horizontal diagonal move, of course, with the added ability to move diagonally in 3 dimensions. This is the move that was referred to as the diagonal stair-step. This is where it can get confusing, however. The bishop may ONLY move diagonally in 3 dimensions in the directions of the CORNERS of the cube it is in. Another way to look at it would be that for every diagonal step on the horizontal plane, the bishop also takes a step up or down, depending on which direction it is traveling in. Thus, because again there are 8 corners to the cube, and the bishop retains its original four directions of travel, the bishop can move in 12 directions.
              ________________
             /   /   / x /   /:
            /___/___/___/___/ :
    ________   /   /   /   /  :
   /   /   /:_/___/___/___/   :
  /___/___/ :/   / x /   /____:_______
 /   /   /:_:___/___/___//   / x /   /:
/___/___/ :/   /   /   //___/___/___/ :
      :___:___/___/___// B /   /   /  :
              :   /___:___/___/___/   :
              :  / x /:  / x /   /____:_______
              : /___/_:_/___/___//   /   /   /
              :/   /  :/   / x //___/___/___/
              :___/___:___/___//   /   /   /
                      :   /___:___/___/___/
                      :  / x /:  /   /   /
                      : /___/_:_/___/___/
                      :/   /  :/   /   /
                      :___/___:___/___/

hwloidl@dcs.gla.ac.uk

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