M Winther wrote on Thu, Apr 27, 2006 11:33 AM UTC:
I have investigated the theoretical endgame properties of the Mammoth and
it proved to be significantly stronger than the Rook in this area.
(1) M + K vs. Q + K = draw
(2) M + K vs. R + K = draw
(3) M + K vs. B + K = win
(4) M + K vs. N + K = win
Comparatively, a Rook + King cannot win against neither Bishop nor Knight,
in the general case. This implies that the Mammoth is stronger in
theoretical endgames. Moreover, Rook + King generally loses against
Queen + King, but the Mammoth draws against Queen.
Also, in a theoretical endgame, a Mammoth is well suited for escorting a
passed pawn to the promotion square. Bishop, Knight, or Rook, cannot
achieve this.
So it is stronger than a Rook. I contend that it compares to Rook + Pawn,
i.e. 6. But I refuse to believe that it's as strong as an Archbishop (6.8).