Difference between revisions of "Edge template V1b"

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(Intrusion at w: Completed the final case.)
(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]].
 
==== Intrusion at v ====
 
 
<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:f5 R 3:f4 E *:e5 *:h4"
 
  />
 
Red is connected by [[double threat]].
 
  
 
==== Intrusion at w ====
 
==== Intrusion at w ====
Line 468: Line 458:
 
</div>
 
</div>
  
==== Intrusion at y ====
+
==== Intrusion at v or y or z ====
 +
 
 +
If Blue plays one of the three highlighted cells, then Red responds as shown below.
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 474: Line 466:
 
   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 R d3 R 1:g3 R d4 B c5 B d5 B 2:f6 R 3:e5 E *:d6 *:e6 B 4:e4 R 5:f2"
+
   contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:e5 E *:d6 *:e6 S blue:(f5 f6 g6)"
 
   />
 
   />
Note that the hexes marked "*" are [[captured cell|captured]] by Red 3, so Blue 4 is forced. Then Red is connected by [[edge template IV2e]].
 
  
==== Intrusion at z ====
+
This [[captured cell]]s the two cells marked "*", forcing Blue 4, and then Red 5
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 484: Line 475:
 
   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 R d3 R 1:g3 R d4 B c5 B d5 B 2:g6 R 3:e5 E *:d6 *:e6 B 4:e4 R 5:f2"
+
   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)"
 
   />
 
   />
Note that the hexes marked "*" are [[captured cell|captured]] by Red 3, so Blue 4 is forced. Then Red is connected by [[Fourth_row_edge_templates#IV-2-q|edge template IV2p]].
+
 
 +
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.


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:

abc

Intrusion at a

If Blue intrudes at a, Red can start by forcing a 3rd or 2nd row ladder like this

21435

or like this:

214368579

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:

43251

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:

4325671

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.

1

Now Red is connected by Tom's move for 3rd and 5th row parallel ladders.

Continuation:

 [Expand

Continuation after 2nd row ladder

If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows.

312

Now Red connects in essentially the same way as Tom's move.

Continuation:

 [Expand