Difference between revisions of "Edge template V1b"
(→Intrusion at w: Added several more cases.) |
(→Intrusion at w: Completed the final case.) |
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| + | If Blue plays at f, then Red plays like this: | ||
| + | <hexboard size="6x14" | ||
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:g5 R 3:i4 B 4:h4 R 5:f5 E *:(f2 e4) +:f4 S red:area(i4,g6,j6,j4)" | ||
| + | /> | ||
| + | Now Red threatens to play in one of the cells marked "*", and the only overlap (apart from the two [[captured cell]]s below 5) is at "+", so Blue must play there. Then Red responds like this: | ||
| + | <hexboard size="6x14" | ||
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:g5 R 3:i4 B 4:h4 R 5:f5 B 6:f4 R 7:h2 E *:(g1 e4) +:(g4 i3) S red:area(i4,g6,j6,j4)" | ||
| + | /> | ||
| + | |||
| + | Now Red is connected left by double threats "*" and right by double threats "+". | ||
| − | |||
</div> | </div> | ||
Revision as of 23:27, 25 July 2022
Edge template V1b is a 5th row edge template with 1 stone.
The validity and minimality of this template has been checked by computer. The template was mentioned on 2016-05-19 by the user shalev in this Little Golem thread, but likely predates that post.
Contents
[hide]Defense against intrusions
Reduction
Red has 3 main threats. Using the ziggurat:
Using edge template III1b:
And using edge_template_IV1d:
For a blocking attempt, Blue must play in the overlap:
Intrusion at a
If Blue intrudes at a, Red can start by forcing a 3rd or 2nd row ladder like this
or like this:
Red's continuation will be discussed below.
Intrusion at b
If Blue intrudes at b, Red can start by forcing a 3rd row ladder like this:
Red's continuation will be discussed below.
Intrusion at c
If Blue intrudes at c, Red can start by forcing a 2nd row ladder like this:
Red's continuation will be discussed below.
Continuation after 3rd row ladder
If Red achieved a 3rd row ladder after intrusions a or b as shown above, Red continues as follows.
Now Red is connected by Tom's move for 3rd and 5th row parallel ladders.
Continuation:
Continuation after 2nd row ladder
If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows.
Now Red connects in essentially the same way as Tom's move.
Continuation:
