1,766,467 mutual zugzwangs have been found in this endgame. (The side with two pawns wins only if the other side is on move.) That is almost twice the number of mutual zugzwangs from all endgames up to six pieces! You can download them in two parts from here:
KNPPvKNP_part1 (wKa1-d4)
KNPPvKNP_part2 (wKa5-d8)
Here's sample with mutually attacking undefended knights:
mutual zugzwang
In the following position white has a nice winning move leading to a mutual zugzwang position:
1. Nd6!! mutual zugzwang (1. d6? Nc6 =) 1... Ng6 2. Nf5(c8) Kc4 3. Nxe7! Nf4 4. Nf5 (or 4. Nc8 Nxd5 5. Nb6+! +-) 4... Nxd5 5. Ne3+! Nxe3 6. e7 +-
There are also 88,879 mutual zugzwangs where the side with one pawn wins:
KNPvKNPP
An example:
1... Kb4 2. Nc7 Nb6 3. Nd5+! +-
The position remains a mutual zugzwang even if we complete the a-file with a black pawn on a2:
An 8-man mutual zugzwang
No comments:
Post a Comment