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Tony Paletta wrote on Thu, Dec 11, 2003 12:22 PM UTC:
L.,

Don't have a problem with your usage in 3D. Orthogonal is standard,
diagonal matches the 2D Bishop's move, and triagonal doesn't jar with an
established term in a situation where the use of diagonal requires a short
term to make a distinction. My objection was and is to 'triagonal' on a
hex-tiled plane.


Fergus,

I still am in agreement with that other guy who posted under your name
somewhat earlier. I don't generally recommend edge/point terms for square
boards because they are not needed. On the other hand, I (recently)
avoided the terms orthogonal and diagonal in describing movement in
'Canonical Chess' variants on a rotated square-tiled board since it
would have been both ambiguous and confusing.

On a 'normal' chessboard (including Xiang Qi board, etc.) the terms
orthogonal and diagonal have had their meanings established by long and
frequent usage, and the terms are easily understood (translated) by people
who simply know what the words mean in other contexts. On hex-tiled boards
the orthogonal/diagonal terms carry neither the same established meaning
nor the same 'chess knowledge' implications.

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