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Constitutional Characters. A systematic set of names for Major and Minor pieces.[All Comments] [Add Comment or Rating]

Charles Gilman wrote on Thu, Dec 11, 2003 04:17 PM UTC:

Apologies to Mark Thompson and Tony Paletta, I meant Tetrahedral Chess. I
had no idea that there was a Tetragonal Chess. Tetragonal was my coinage
for the direction whose minimum distance is twice the Orthogonal's, and
was evidently playing on my mind. If it is the consensus that Triagonal
should go, so will that term.
Returning to the question of what is what -gonal, I interpret Orthogonal
as mean passing through 1st-degree boundaries (between two cells) at
right
angles to them, not (necessarily) to each other. This extends easily to
boards which are 3d, Hex, or both. Diagonal moves go through 2nd-degree
boundaries (boundaries between 4 1st-degree ones), at 45º to the
1st-degree ones. On a Cubic board, Triagonal moves go through 3rd-degree
boundaries (between 8 2nd-degree ones). The non-orthogonal Hex radial
actually goes ALONG 1st-degree boundaries, and so is not exactly the same
as Square/Cubic Diagonal OR Cubic Triagonal. On that basis there could be
a case for calling the direction Parallel! However it can appear on the
same board as the S/C Diagonal and so should surely have a different name
from that.