Tony Paletta wrote on Wed, Dec 10, 2003 06:38 PM UTC:
Michael,
If you can look at the 3D system as an [x,y,z]-coordinate system, then a
rider that makes a series of consistent unit leaps in two coordinates only
(e.g. --[1,1,0]-rider, [1,0,1]-rider or [0,1,1]-rider) could properly be
called a Bishop -- its a 2D Bishop when there's a choice of planes, and
becomes a regular Bishop when there is only one plane (such as on a flat
board). Generally that's been the piece called 'the Bishop' in
3-(4-,N-)dimensional chess -- a convention to call any other piece the
Bishop would probably be more confusing.