William Overington wrote on Sat, Sep 14, 2002 04:28 PM UTC:
I notice in the page for the Griffon the statement that the Griffon has
asymmetrical-retreat properties.
This is interesting.
I wonder if it might be a nice idea to devise a chess variant where all of
the pieces have asymmetrical-retreat properties.
Are there any other pieces which have asymmetrical-retreat properties or
would some need to be devised in order to produce such a game?
There could be a piece which is related to a conventional bishop in much
the same manner as a griffon is related to a conventional rook, in that
for such a piece there could be a move of one square orthogonally followed
by a diagonal move away from the original position for zero or more empty
squares, together with the possibility of capturing from a final occupied
square of the move. This piece would always move to a square of the
opposite colour.
It would seem that in order to have asymmetrical-retreat properties that a
piece could not be simply a leaper.
There could be pieces where one screen piece in the route of movement is a
necessity. One such could perhaps be a piece that has movement which
changes from orthogonal to diagonal at the screen piece.
Any ideas for existing or new pieces which would be suitable for such a
game please?