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Mark Thompson wrote on 2004-01-09 UTC
Larry, your idea of showing the cells as points where color-coded lines of
movement intersect works well with another idea I've been turning over
my mind. I've never been quite satisfied with the 'Dababantes'
that I used as Bishops in this game -- they're color-bound, but that's
about the only way they resemble chess Bishops.

What I've been thinking of is to designate three of the six lines
each cell as 'rook lines' and the other three as 'bishop
lines'. This would make rooks weaker than they were in Tetrahedral Chess,
and Bishops would have really equal power to Rooks. In your xiangqi-style
board representation, the rook lines might be colored red and the bishop
lines blue.

If the seven squares of level I where the White pieces begin are
considered to be in an 'east-west' row and the seven squares of
level VII are in a 'north-south' row, then I would make
north-south and two of the vertical edges 'rook lines,' and
east-west and the other two vertical edges 'bishop lines.'
Neither the rook line edges nor the bishop line edges would make a
triangle on the surface of the tetrahedron; they would be symmetrical
one another. And then, I would arrange the Black pieces differently from
the White pieces, putting rooks in place of bishops and vice versa,
because the orientation of the levels on which the two sides begin would
in effect 'turn a rook into a bishop,' if you see what I mean.
(Sorry, it's hard to describe without a diagram.)

But this is just thinking out loud in public, I haven't tried any of it
out yet.

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