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Kangaroo (Newton). compound of Knight and Alfil.[All Comments] [Add Comment or Rating]
H. G. Muller wrote on 2009-03-23 UTC
I have not actually playtested it, but the general formula for short-range leapers (value = (30+5/8*N)*N, where N is the number of target squares and the value in centi-Pawn) predicts a value of 450, i.e. slightly below a Rook. I would expect it to be a little stronger than the Carpenter, (which also has 12 target squares) though, because it has one more foreward move, and forward moves seem to be approximately 2 times more valuable than backward or sideway moves.

Anonymous wrote on 2009-03-20 UTCAverage ★★★
Is a Kangaroo stronger than a Rook? Or just equal to it??

H. G. Muller wrote on 2008-07-03 UTC
The Kangaroo is yet another Knight + Short-Range leaper compound with mating potential: King + Kangaroo vs King is generally won on all boards upto 10x10 (on 12x12 it is usually draw). On 8x8, only 192 positions (out of ~250,000) are not won with white to move: when the Kangaroo is on a corner square and attacked by the bare King diagonally, and its own King is too far away for the Kangaroo to leap into its save haven.

The longest mate against perfect defense on 8x8 is 35 moves. There are 260 such positions, e.g. w:Kb1, Kangaroo a2, b:Kb3 (white to move).

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