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Values of fairy pieces

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Lunar000

Lets discuss how fairy (and normal pieces) are valued.

Simplified values 
Pawn:1

Knight:3

Bishop:3

Princess:7 (B+N)

Empress:8 (R+N)

Queen:9

Amazon:12

More specific values:

Pawn:1

Knight:3

Bishop:3.15

Rook:5

Princess:7.25

Empress:8.00

Queen:9.25

Superplayer7472

On bigger boards, bishops should be much more valuable than knights. I wonder how much it is worth in Infinite chess?
Anyway, I guess the evaluations are for 8x8 boards, so... let's stop talk about that and evaluate pieces.
Grasshopper: 1 (I don't know if it's even better than a pawn!)
Camel: 2 (it's worse than a knight because it's limited on one color)
Wildebeast: 5

I don't know the exact values, but I think these are fairly accurate.

Lunar000

The bigger the board the more valueable directional movement gets

I think the wildebeast could be worth more tho,since if a colorbound piece is in a compound with a non-colorbound piece,the issue of colorbindedness is removed,hence the compound is worth more.

HGMuller

Actually the correct values on 8x8, as determined by analyzing tens of thousands of GM games and (for the fairy pieces) tens of thousands of computer-computer games, are:

P=1

N=3.25

B=3.25 (but 0.50 bonus for a pair)

R=5

Q=9.5

Princess (BN) = 8.75

Empress (RN) = 9.00

Leapers with 12 moves already tend to be similar in value to Rook (i.e. 5); the Wildebeest, with 16 potential moves, will be closer to 7. A reasonably accurate guess for the value of leapers with N moves is 33*N+0.7*N*N (centi-Pawn). That would predict 7 for the Wildebeest, but the 8x8 board is a bit cramped for leaps longer than 2. So these do not fully count, and the Camel is indeed worth less than a Knight. (But in the middle-game it has good forking power, which makes it easy to trade it for an intrinsically more valuable minor, so that its opening value is more like 2.5, which then drops as the board empties.)