Standalone Pattern Set 2.s.2 in Connect 4
Connect 4 in 2 Moves
Deduction Path: Empty Sharing Fork.
Indefensible: yes
The opponent cannot defend an indefensible pattern set assuming it is the opponents move. Thus just suppose the opponent is going to move on the concerned pset. If he moves on any re of the pset he actually transforms the pset to an equivalent or even faster win for the player. The latter makes this pset indefensible.
Number of Patterns: 2
Pattern List: re0ppp, re1ppp
Deduced From: re0ppp, re0ppp
Deduced From Pattern Sets:
Pset 1.s.1 (re0ppp, Winning Move: re0 of re0ppp, Deduction Path: Disc Omission on Pattern)
Pset 1.s.1 (re0ppp, Winning Move: re0 of re0ppp, Deduction Path: Disc Omission on Pattern)
Deduction Source for Pattern Sets:
Pset 3.s.4 (re1ppp, re0re0pp, Deduction Path: Disc Omission on Faster Win Pattern)
Pset 3.s.5 (re0re0pp, re1re0pp, Deduction Path: Disc Omission on Both Patterns)
Pset 3.s.6 (re1ppp, re2ppp, Deduction Path: Disc Omission on Depth of Both Patterns)
Pset 3.s.7 (re2ppp, re1re0pp, Deduction Path: Disc Omission on Vertical Pattern and on Depth of the Other Pattern)
Condition List:
- 11EmptyEqual: The rotatable empty (re) position of the first pattern of the concerned pset is on the same column as the re of the second pattern. In other words their re's must be sharing the same column, not be on different siding columns.
This pattern sets video:
https://rumble.com/v6e0yqv-standalone-pattern-set-2.s.2-in-connect-4-pattern-recognition-and-deduction.html
Connect 4 Board Example List:
PPSSPSPPSEPSSSPPEPPPSPPEPESSSEESEEPEEESEESE
SEESPSEEEEPPPEEEEEPSEEEEESPEEEEESEEEEEEEEEE
SESPPSPPEPSSPSEESSPPPEEPSSPSEEEPPSEEEESSPEE
SPSSEPPPPPPESEESSEEEEEESEEEEEEEEEEEEEEEEEEE
SPSSPSPPSEPSSSPPEPPPSPEEPPSSSEESEEPEEEEEESE
SSPSPSSSPSSPSSSPESSPPSPEPPSSPSEPEPPSSEEEPPP
SSPSSPSSPSPSSSPPESSPPEPEPPSPESEEPPSESEEEEEE
SSSPPPSSEESSPEEEEPPPEEEEEPSEEEEESPEEEEEEEEE
SSSSPEEEPSSPEEESPPPEEEEEPEEEEEEEEEEEEEEEEEE
SSSSPSPEPPPSSSEEESEPSEEEPEPPEEEPESPEEEEEEEE |
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