Difference between revisions of "Edge template V1b"
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(→Continuation after 3rd row ladder: combined three 1-diagram cases into one 2-diagram case) |
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Red is connected by [[Tom's move]]. | Red is connected by [[Tom's move]]. | ||
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==== Intrusion at w ==== | ==== Intrusion at w ==== | ||
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− | ==== Intrusion at y ==== | + | ==== Intrusion at v or y or z ==== |
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+ | If Blue plays one of the three highlighted cells, then Red responds as shown below. | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
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edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
− | contents="R e2 B e3 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:e5 E *:d6 *:e6 S blue:(f5 f6 g6)" |
/> | /> | ||
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− | + | This [[captured cell]]s the two cells marked "*", forcing Blue 4, and then Red 5 | |
<hexboard size="6x14" | <hexboard size="6x14" | ||
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edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
− | contents="R e2 B e3 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:e5 5:f2 B 4:e4 E *:d6 *:e6 S blue:(f5 f6 g6)" |
/> | /> | ||
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+ | connects by [[double threat]] or [[edge template IV2e]] or [[Fourth_row_edge_templates#IV-2-q|edge template IV2p]]. | ||
</div> | </div> |
Revision as of 04:26, 26 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: