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God's Algorithm out to 18q*: 368,071,526,203,620,348
Submitted by rokicki on Sat, 07/19/2014 - 14:32.Almost exactly four years after 17q* was announced by Thomas
Schuenemann, we have calculated the number of positions at a distance
of exactly 18 in the quarter-turn metric. This is more than one in
twenty positions.
This number matches (mod 48) the count of distance-18 symmetric
positions; this provides a bit of confirmation that it is correct
(or rather, about 5.6 bits of confirmation).
The approach we used does not permit us to calculate the number of
positions mod M or mod M+inv without significantly increasing the
amount of CPU required; these computations will have to wait for
Schuenemann, we have calculated the number of positions at a distance
of exactly 18 in the quarter-turn metric. This is more than one in
twenty positions.
This number matches (mod 48) the count of distance-18 symmetric
positions; this provides a bit of confirmation that it is correct
(or rather, about 5.6 bits of confirmation).
The approach we used does not permit us to calculate the number of
positions mod M or mod M+inv without significantly increasing the
amount of CPU required; these computations will have to wait for
