pallab basu writes: 'I would like to see what happens in a endgame of R vs NB (cardinal) and R vs RN (chancellor). Also do NB+pawn win against a lone R?'
In order to fork the enemy pieces in a four piece endgame, the Chancellor needs to be only a Knight-leap away from the Rook, which suggests to me that the Chancellor is much less likely to win than the (true) Queen. I suspect that the Cardinal is much stronger than the Rook in endgames with one (or more) Pawn(s) on the board.
H. G. Muller writes: '... in end-games with only King and Pawns as other pieces, it seemed the Mastodon was very close to being exactly halfway between R and Q.'
Some thoughts on large variants: when I posted the first comment on Cataclysm, I valued the [N+F+W+A+D] piece halfway between a Rook and a Queen on a 12x12 board,, so I must have had a low opinion of the [F+W+A+D] piece in that setting. See my [2007-03-28] comment on Typhoon for some of the theory behind my calculations. Note that I hold the Knight constant at 300 points, while increasing the values of Rooks and Bishops on larger boards. Also I once wrote that 5 Rooks = 8 Bishops on all boards, which gives the exact values I am using on 12x12 boards.
pallab basu writes: 'I would like to see what happens in a endgame of R vs NB (cardinal) and R vs RN (chancellor). Also do NB+pawn win against a lone R?'
In order to fork the enemy pieces in a four piece endgame, the Chancellor needs to be only a Knight-leap away from the Rook, which suggests to me that the Chancellor is much less likely to win than the (true) Queen. I suspect that the Cardinal is much stronger than the Rook in endgames with one (or more) Pawn(s) on the board.
H. G. Muller writes: '... in end-games with only King and Pawns as other pieces, it seemed the Mastodon was very close to being exactly halfway between R and Q.'
Some thoughts on large variants: when I posted the first comment on Cataclysm, I valued the [N+F+W+A+D] piece halfway between a Rook and a Queen on a 12x12 board,, so I must have had a low opinion of the [F+W+A+D] piece in that setting. See my [2007-03-28] comment on Typhoon for some of the theory behind my calculations. Note that I hold the Knight constant at 300 points, while increasing the values of Rooks and Bishops on larger boards. Also I once wrote that 5 Rooks = 8 Bishops on all boards, which gives the exact values I am using on 12x12 boards.