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Tony Paletta wrote on Wed, Dec 10, 2003 09:56 PM UTC:
Peter,

Faced with the problem of describing geometric movement on a regular grid
(i.e., intersections of two sets of equally spaced parallel lines) back in
1980 I chose the terms 'edgewise' and 'pointwise' to refer to movement
from the center of one space to the center of another in a line which
bisects a side or an angle, with the continuation of such movement
constituting 'edge-paths' and 'point-paths'. 

This convention works equally well for square- and regular hex-tiled
boards (which are grids or sections of a grid) regardless of their
orientation, while not directly conflicting with a very common
mathematical usage (e.g., orthogonal axes).

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