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Constitutional Characters. A systematic set of names for Major and Minor pieces.[All Comments] [Add Comment or Rating]
Tony Paletta wrote on Sun, Dec 14, 2003 02:53 AM UTC:
Fergus,

It has occurred to me that you were arguing with yourself. I never said or
implied (check) that there was NO USE OF the term orthogonality could be
satisfied in a hex grid -- looking back that seems to have been your
original point that you were looking to refute. 

My point was that a fundamental fact from plane geometry would be
contradicted by any such definition of 'orthogonal movement' -- one that
is satisfied by ' orthogonal movement' in chess: 

at most two orthogonal lines (or paths) 
can be drawn thru a point in a plane.