Tracy wrote on Sun, Jul 25, 2010 09:00 PM UTC:Average ★★★
I was thinking about this the other day.
If a Rook in 2D chess is defined as a piece which controls the whole line
it's sitting on, then perhaps a rook in 3D chess should be defined so that
it controls the whole plain. But I was having trouble thinking how to
define it.
Your definition of 'Making too rook moves in the same plain fixes this
problem by allowing it to be blocked, etc.
This way you can CheckMate the king too. You can't force check-mate with
only a 3D Queen.
Remembering all the different varieties of night moves I think will be the
hardest thing with this.
In 4D Chess then, a extending out this way, would make 3 Rook moves with-in
the same 'cube.' (Obviously 6 of the 8 cubes will be distrorted in the 3D
projection we play in.)
TRacy
Tracy