Difference between revisions of "Edge template V1b"

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(Copy-edited top of article.)
(Reorganized intrusions to cover more cases.)
Line 14: Line 14:
 
== Defense against intrusions ==
 
== Defense against intrusions ==
  
−
Red has 3 main threats:
+
=== Reduction ===
 +
 
 +
Red has 3 main threats. Using the [[ziggurat]]:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 23: Line 25:
 
   />
 
   />
 
    
 
    
−
using the [[ziggurat]],
+
Using [[edge template III1b]]:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 32: Line 34:
 
   />
 
   />
 
    
 
    
−
using [[edge template III1b]] and
+
And using [[edge_template_IV1d]]:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 41: Line 43:
 
   />
 
   />
  
−
using [[edge_template_IV1d]].
+
For a blocking attempt, Blue [[mustplay region|must play]] in the overlap:
−
 
+
−
For a blocking attempt, Blue must play in the overlap:
+
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 52: Line 52:
 
   />
 
   />
  
−
=== Defense against a ===
+
=== Intrusion at a ===
  
−
Details yet to come...
+
If Blue intrudes at a, Red can start by forcing a 3rd or 2nd row ladder like this
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 B 1:e3 R 2:d3 B 3:c5 R 4:d4 B 5:d5"
 +
  />
 +
or like this:
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 B 1:e3 R 2:d3 B 3:d4 R 4:c4 B 5:b6 R 6:c5 B 7:c6 R 8:d5 B 9:d6"
 +
  />
  
−
=== Defense against b ===
+
Red's continuation will be discussed below.
−
Red can start like this:
+
 
 +
=== Intrusion at b ===
  
 +
If Blue intrudes at b, Red can start by forcing a 3rd row ladder like this:
 
<hexboard size="6x14"
 
<hexboard size="6x14"
 
   coords="hide"
 
   coords="hide"
 
   edges="bottom"
 
   edges="bottom"
−
   visible="c3 area(f1,a6,n6,n4,l2,h1)"
+
   visible="area(f1,a6,n6,n4,l2,h1)"
−
   contents="R e2 2:d4 4:d3 6:g3 B c3 1:d5 3:e3 5:c5"
+
   contents="R e2 B 1:d5 R 2:d4 B 3:e3 R 4:d3 B 5:c5"
 
   />
 
   />
 +
 +
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:
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 B 1:d6 R 2:d4 B 3:e3 R 4:d3 B 5:c5 R 6:d5 B 7:c6"
 +
  />
 +
 +
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.
 +
 +
<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"
 +
  />
 +
 +
Now Red is connected by [[Tom's_move#Tom.27s_move_for_3rd-and-5th_row_parallel_ladders|Tom's move for 3rd and 5th row parallel ladders]].
  
 
Continuation:
 
Continuation:
  
 
<div class="toccolours mw-collapsible  mw-collapsed">
 
<div class="toccolours mw-collapsible  mw-collapsed">
−
Red has this threat,
+
 
 +
Now Red threatens to play at "*":
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 75: Line 118:
 
   edges="bottom"
 
   edges="bottom"
 
   visible="area(f1,a6,n6,n4,l2,h1)"
 
   visible="area(f1,a6,n6,n4,l2,h1)"
−
   contents="R e2 2:d4 4:d3 6:g3 8:f4 B c3 1:d5 3:e3 5:c5 S f2 g2 f3 e4 area(d6,f4,g4,g6)"
+
   contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 E *:f4 S f2 g2 f3 e4 area(d6,f4,g4,g6)"
 
   />
 
   />
  
 
so Blue must play in the shaded area.
 
so Blue must play in the shaded area.
−
 
−
 
  
  
Line 171: Line 212:
 
   />
 
   />
  
−
Blue has to play on the overlap:
+
Blue must play in the overlap:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 228: Line 269:
 
   />
 
   />
 
    
 
    
−
Blue has to go on one of the 3 marked fields. However, d6 can't be any better than 35, so it's enough to look at e5 and g6. Let's have a look at g6 first:
+
Blue must go on one of the 3 marked fields. However, d6 can't be any better than 35, so it's enough to look at e5 and g6. Let's have a look at g6 first:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 306: Line 347:
 
   />
 
   />
 
    
 
    
−
Blue has to play on the overlap:
+
Blue must play in the overlap:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 332: Line 373:
 
   contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 2:f3 R g3 R 4:h3 E *:n3 E *:a4 E *:b4 R d4 B 1:f4 B 3:g4 R i4 E *:a5 B c5 B d5 R f5 B e6 B f6"
 
   contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 2:f3 R g3 R 4:h3 E *:n3 E *:a4 E *:b4 R d4 B 1:f4 B 3:g4 R i4 E *:a5 B c5 B d5 R f5 B e6 B f6"
 
   />
 
   />
 +
 
</div>
 
</div>
 +
 
==== ... 5. f6 ====
 
==== ... 5. f6 ====
  
Line 364: Line 407:
 
using [[Edge_template_IV2e|IV-2-e]].
 
using [[Edge_template_IV2e|IV-2-e]].
  
−
Blue has to play on the overlap:
+
Blue must play in the overlap:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 394: Line 437:
  
 
Note that 2 is safely connected to the top, so 3 is forced.
 
Note that 2 is safely connected to the top, so 3 is forced.
−
 
  
 
</div>
 
</div>
  
−
=== Defense against c ===
+
=== Continuation after 2nd row ladder ===
  
−
Red has this line:
+
If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows.
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 406: Line 448:
 
   edges="bottom"
 
   edges="bottom"
 
   visible="area(f1,a6,n6,n4,l2,h1)"
 
   visible="area(f1,a6,n6,n4,l2,h1)"
−
   contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E *:n3 E *:a4 E *:b4 R 2:d4 R 8:h4 E *:a5 B 3:c5 R 4:d5 R 6:e5 B 5:c6 B 1:d6 B 7:e6"
+
   contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R 1:e5 B 2:e6 R 3:h4"
 
   />
 
   />
  
−
Blue 3, 5 and 7 are forced.
+
Now Red connects in essentially the same way as [[Tom's move]].
  
 
Continuation:
 
Continuation:
Line 437: Line 479:
 
   />
 
   />
 
    
 
    
−
The overlap in which Blue has to play is:
+
The overlap in which Blue must play is:
  
 
<hexboard size="6x14"
 
<hexboard size="6x14"
Line 467: Line 509:
  
 
Note that Red 4 connects to the bottom with [[Edge_template_IV2b|IV-2-b]].
 
Note that Red 4 connects to the bottom with [[Edge_template_IV2b|IV-2-b]].
 +
 
</div>
 
</div>
 +
 +
 
[[category:edge templates]]
 
[[category:edge templates]]

Revision as of 20:22, 24 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:

1

Using edge template III1b:

1

And using edge_template_IV1d:

1

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] 
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