Edge template VI1a
This template is the first one stone 6th row template for which a proof has been handwritten.
Contents
- 1 Elimination of irrelevant Blue moves
- 2 Specific defence
Elimination of irrelevant Blue moves
Red has a couple of direct threats to connect, using smaller templates. Blue must play in the carrier of these threats in order to counter them. To prevent Red from connecting Blue must play in the intersection of Red's threats carriers.
edge template IV1a
edge template IV1b
Using the parallel ladder trick
6 moves can furthermore be discared thanks to the Parallel ladder trick. Of course, symmetry will cut our work in half!
We can dispose of 3 moves on the left (and, using mirror symmetry, the corresponding 3 moves on the right), as follows:
At this point, we can use the Parallel ladder trick as follows:
Remaining possibilities for Blue
Blue's first move must be one of the following:
Specific defence
For the moves that intersect all the carriers, Red has to find specific answers. Let's deal with the remaining intrusions!
One remaining intrusion on the first row
The other remaining intrusion on the first row
The remaining intrusion on the second row
The remaining intrusion on the third row
The remaining intrusion on the fourth row
Red should move here:
Elimination of irrelevant Blue moves
This gives Red several immediate threats: From III1a:
From III1a again:
From III1b :
From IV1a:
From IV1b:
The intersection of all of these leaves:
Specific defence
So we must deal with each of these responses. (Which will not be too hard!)
Bg4
And now either
or
Bg5
Threatening:
So the only hope for Blue lies in the intersection of the threats, Be5, but it is unsufficient:
Bg6
Be7
Bg7
To be continued...