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The Burmese Elephant has also been used in Peter Aronson's White Elephant Chess and my Shatranj Kamil (64). I do not believe that, in general, King and Burmese Elephant can force checkmate (or even stalemate) against the lone King.
Correction: the Burmese Elephant cannot always mate a lonely king. But, together with a king, or some other piece, it is very suitable for giving mate in the endgame.
David, thanks for the info. I have corrected my homepage. I had missed the 'White Elephant' implementation. It's an interesting concept with different armies, i.e., the Burmese Elephants pitted against the bishop pair, etc. Luckily, my 'Elephant Chess' differs very much from Peter's inventions. Nor did I know that this piece is the same as the 'Silver General' in Shogi. It is an interesting piece. Its qualities are much different from the orthodox chess pieces. Aronson discusses the strength of the Burmese Elephant and compares it with the Fil (the other kind of Elephant) in Shatranj. This is a surprisingly weak piece, about equal to a centre pawn. To me it's obvious that the Burmese Elephant is much stronger since it can reach all squares of the board, while the Fil can only reach a quarter of them. The Fil is an awkward piece. I cannot understand how they could bear with it for more than a millenium. But I suspect that they originally played with dice. Then the piece makes much more sense.
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For the Zillions programmers out there I'd like to point out the method whereby I stimulate the engine to castle. I have simply added links from the king's squares and around them. This makes the king feel uncomfortable on those squares and he castles to get away. It works remarkably well. In many chess variants castling is imperative to connect the rooks and to survive the middlegame. Note also how I've managed to increase the value of the Elephant compared with the knight (otherwise the engine underestimates the Elephant). This is simply by adding move function calls to dummy squares beside the board, occupied by dummy pieces. These are important tricks for Zillions chess variant programmers. Take a look in the zrf.
Mats