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H. G. Muller wrote on Wed, Jul 9, 2008 10:27 AM UTC:
Some more data about mating potential of the short-range leapers:

Betza NR  NAME              Longest mate (if generally won)
                             8x8  10x10 12x12 14x14 16x16
F      4  Ferz              color bound
W      4  Wazir             pure alternator
A      4  Alfil             color bound
D      4  Dabbaba           color bound
N      8  Knight            pure alternator
FW     8  Commoner            18    29    49    62    -
FA     8  modern Elephant   color bound
FD     8  ?                 color bound
WA     8  Waffle            no mates
WD     8  Woody Rook          29    52    -
AD     8  Alibaba           color bound
FN    12  ?                   22    32    44    59   100
WN    12  Vicar             pure alternator
AN    12  Kangaroo            35    63    -
DN    12  Carpenter           31    44    62    92    -
FWA   12  Crowned Alfil       15    22    31    41    53
FWD   12  Crowned Dabbaba     15    20    27    33    40
FAD   12  ?                 color bound
WAD   12  ?                   26    39    -
FWN   16  Centaur             13    17    21    28    33
FAN   16  High Priestess      17    23    30    36    45
FDN   16  ?                   14    19    25    31    38
WAN   16  ?                   22    31    43    57    74
WDN   16  Minister            17    23    30    36    45
ADN   16  Squirrel            19    24    31    38    46
FWAD  16  Mastodon            13    19    24    29    36
FWADN 24  Lion                 5     7     9    10    12

Note that the Lion does not need King assistence to perform the checkmate,
which is why it can be so fast. It is easy to prove it can mate on boards
of any size, and indeed on an infinitely large board (which is not the
same!). It does not even need a corner, just an edge.

'no mates' means that the piece does not cover two orthogonally
neighboring squares, which is the minimum requirement to create a
checkmate position (in a corner). Being color-bound, or a pure color
alternator implies this.

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