Standalone Pattern Set 4.s.19 in Connect 4
Connect 4 in 4 Moves
Deduction Path: Empty Siding Fork with All Defensible Re's Different.
Defensible re is the re of the concerned pset the opponent could defend upon at least if it were the opponents move. Just suppose the opponent is going to move on the concerned pset. If he moves on the defensible re he effectively destroys the players pset without transforming the pset to an even faster win for the player.
Number of Patterns: 4
Pattern List: re0re0pp, re0re0pp, re0re0pp, re1re0pp
Deduced From: re0re0pp, re0re0pp, re0re0pp, re1re0pp
Best Defence(s): all defences equivalent and thus best
After playing a best defence move on one of the forked pattern sets specified under deduced from pattern sets hereunder this forked pset is disabled and the other forked pset remains active, in case of a siding fork, or becomes active, in case of a sharing fork, providing its winning move. In case of playing a best defence move outside of both forked pset's, both forked pset's remain active providing their winning moves.
Deduced From Pattern Sets:
Pset 3.s.1 (re0re0pp, re0re0pp, Winning Move: re0 shared by both re0re0pp, Deduction Path: Disc Omission on Both Patterns)
Pset 3.s.5 (re0re0pp, re1re0pp, Winning Move: re0 of re1re0pp, Deduction Path: Disc Omission on Both Patterns)
Deduction Source for Pattern Sets:
Condition List:
- 22EmptyOneEqualOneDifferent: One rotatable empty (re) position of the first re0re0pp pattern of the concerned pset is on the same column as one re of the second re0re0pp pattern. The other re of the first re0re0pp pattern is different from the other re of the second re0re0pp pattern. In other words the two re0re0pp patterns of the concerned pset have one pair re's sharing a same column and the other re's are on different siding columns.
- 22EmptyTwoEqual: A rotatable empty (re) position of the first pattern of the concerned pset is on a same column as a re of the second pattern of the concerned pset. The other re of the first pattern is on a same column as the other re of the second pattern. In other words the two patterns of the concerned pset have two pairs re's sharing a same column.
- 2222DefensibleEmptyDifferent: The defensible re's of the first deduced from pset are on different columns than the defensible re's of the second deduced from pset because this is an empty siding fork. In other words the defensible re's of the two psets being forked must be on siding (thus different) columns.
- AfterTwoMovesNoFasterWinForOpponent: After any of all the opponents best defensive move(s) and then the players subsequent winning move(s), as specified by the winning move property of the concerned deduced from pset, no pattern set (pset) of the opponent may exist on the board that implies a faster win for the opponent. For example for psets 4.x.y (connects 4 in 4 moves) no psets 1.v.w (connects 4 in 1 move) of the opponent may exist after all moves specified above.
This pattern sets video:
https://rumble.com/v6ry4br-standalone-pset-4.s.19-connect-4in4-moves-pattern-recognition-deduction-hi-.html
Connect 4 Board Example List:
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