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Diceroller is Fire wrote on Sun, May 21, 2023 11:26 AM UTC in reply to H. G. Muller from Sat May 20 08:57 PM:

With Q=9 the true values (on 8x8) are B=3, B-pair = 6.5, Archbishop=8.25.

If Bishop is just 3, why the Queen is 9 if it's 8?! why Archbishop is 8.25 if it's 6 (according to B=3)?

I consider that there are chessmen with more permanent value (such as Rook or Silver) and with more floating value. (Each piece's value floats depening on board's situation, but some of their values don't exit certain natural number's area).

But a lot of them are worth two numbers and are closer to one in one position, and to other in another situation. There are some factors which are affecting: board's size, number of pieces on the board, abilities which piece has, and amount of squares which are available.

Number of pieces on the board can be sufficient (remember of Janggi Cannon & other hoppers).

Bishop is maneuverable ranger but it has one huge flaw - colorboundness, by this lone B=3. All things which dissolve it will increase bishop's value (slightly, but yes, methods are said in a comment above). In this system, value of Queen is considered as 9 because it's compound of Rook (5) with Bishop without its flaw, additionally giving the non-royal King's motion to Queen. It's synergy. (Archbishop is also strong but it's reachable by King and can't hold a straght line; Chancellor can hold a line, I consider that C≈8, but it's closer to 9 than Centaur, so less size of the board increases its price, all BN, RN and KN compounds).

About Knight. That morning I've come to my favourite pychess.org and played 3 games of Burmese Chess (Sittuyin), so I've understood that in first part of game (with crowded board) it's good to trade your Silver for opponent's Knight, because last has more mobility and forking ability. But in an endgame (on very non-crowded board), it's better to have Silver against Knight (with another weak pieces of course), because Knight + Ferz has less checkmating ability than Silver + Ferz; so Kinght's forking ability isn't useful if rooks are already traded. (So in variation of Thai Chess, called Makpong, where King can't move out of check but can capture checking piece, situation is more clear with advantage of Knight).

Anyway and anyhow, (in wide sense) chess is fun))))))))