Difference between revisions of "Edge template V1a"

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m (Updated a link.)
(Simplified the analysis)
Line 94: Line 94:
 
=== If Blue moves at y: ===
 
=== If Blue moves at y: ===
  
Red's best response is to [[bridge]] to 2. To stop the threatened immediate connection, Blue must block at 3 or intrude on the bridge. If Blue plays at 3, Red plays the following sequence of forcing moves:
+
Red can respond at 2, which is connected to the bottom and forms a loose connection with the Red piece on the 5th row. To stop the immediate connection, Blue must play at a or b.
  
 
<hexboard size="5x10"
 
<hexboard size="5x10"
Line 100: Line 100:
 
   edges="bottom"
 
   edges="bottom"
 
   coords="none"
 
   coords="none"
   contents="R g1 B 1:d5 R 2:h2 B 3:h3 R 4:f4 B 5:g2 R 6:f2 B 7:f3 R 8:e3 E +:(c4 e4)"
+
   contents="R g1 B 1:d5 R 2:f4 E a:g2 b:f3"
 
   />
 
   />
  
Red is now connected to the edge by [[double threat]] at the cells marked "+".  
+
If Blue moves at a, Red connects via [[Fourth_row_edge_templates#IV-2-p|edge template IV2p]].
If Blue intrudes on the bridge instead, play proceeds similarly:
+
 
+
 
<hexboard size="5x10"
 
<hexboard size="5x10"
 
   visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 
   visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 
   edges="bottom"
 
   edges="bottom"
 
   coords="none"
 
   coords="none"
   contents="R g1 B 1:d5 R 2:h2 B 3:g2 R 4:h1 B 5:h3 R 6:f4 B 7:g3 R 8:f2 B 9:f3 R 10:e3 E +:(c4 e4)"
+
   contents="R g1 B 1:d5 R 2:f4 B 3:g2 R 4:f2"
 +
  />
 +
If Blue moves at b, Red connects via [[edge template IV2a]].
 +
<hexboard size="5x10"
 +
  visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 +
  edges="bottom"
 +
  coords="none"
 +
  contents="R g1 B 1:d5 R 2:f4 B 3:f3 R 4:h2"
 
   />
 
   />
 
Again, Red is connected by double threat at "+".
 
  
 
=== If Blue moves at z: ===
 
=== If Blue moves at z: ===
  
Red's best response is 2, which is connected to the bottom and forms a loose connection with the Red's piece on the 5th row. To stop the immediate connection, Blue must play at a or b.
+
The situation is entirely symmetric to when Blue moves at y. Red can respond at 2. To stop the immediate connection, Blue must play at a or b.
  
 
<hexboard size="5x10"
 
<hexboard size="5x10"
Line 126: Line 129:
 
   />
 
   />
  
If Blue moves at a, Red plays the following forcing sequence, connecting by double threat at "+".
+
If Blue moves at a, Red connects via [[Fourth_row_edge_templates#IV-2-p|edge template IV2p]].
 
<hexboard size="5x10"
 
<hexboard size="5x10"
 
   visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 
   visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 
   edges="bottom"
 
   edges="bottom"
 
   coords="none"
 
   coords="none"
   contents="R g1 B 1:f5 R 2:e4 B 3:f2 R 4:g2 B 5:f3 R 6:g3 E +:(f4 h4)"
+
   contents="R g1 B 1:f5 R 2:e4 B 3:f2 R 4:g2"
 
   />
 
   />
If Blue moves at b, Red plays the following forcing sequence, again connecting by double threat.  
+
If Blue moves at b, Red connects via [[edge template IV2a]].  
 
<hexboard size="5x10"
 
<hexboard size="5x10"
 
   visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 
   visible="area(a5,c3,d3,f1,h1,h2,i2,i3,j3,j5)"
 
   edges="bottom"
 
   edges="bottom"
 
   coords="none"
 
   coords="none"
   contents="R g1 B 1:f5 R 2:e4 B 3:f3 R 4:e2 B 5:d5 R 6:e5 B 7:e3 R 8:d3 E +:(c4 d4)"
+
   contents="R g1 B 1:f5 R 2:e4 B 3:f3 R 4:e2"
 
   />
 
   />
  
 
[[Category: Advanced Strategy]]
 
[[Category: Advanced Strategy]]
 
[[Category: Edge templates]]
 
[[Category: Edge templates]]

Revision as of 15:50, 5 July 2021

Template V1-a is a 5th row edge template with 1 stone.

This template often appears as a third move, for instance in the a3 opening, because the played piece is guaranteed to link to one edge and is not too far from the other one. Thus it follows the principle of the weakest link.

Note that there is also a mirror image form of this template.

It may seem that this template is very strong because it reaches 5 rows into the board, but it rarely occurs outside of the opening, because of the huge size of the template; the template requires 31 empty hexes and 10 hexes along an edge — the entire edge on the 10x10 board!

Furthermore, the large perimeter makes it more vulnerable to encroaching adjacent plays and forcing moves. Additionally, the carrier surrounds the 5th row piece on both "shoulders" so that non-overlapping plays from the 5th row piece can occur in only two directions.

Defending the template

Red's threats

Reduction to template III-1-b:

Reductions to template IVa:

Reductions to template IVb:

Blue's options

These threats only overlap in 3 hexes, so to attempt blocking the template, Blue must move in one of these.

xyz

If Blue moves at x:

Red responds as follows.

12

Red is threatening to connect at "+". Blue must block by playing somewhere between Red's two pieces. Red then continues as follows:

3416527

Red has forced a bottleneck, resulting in a 2nd row ladder. Red's 2 acts as a ladder escape. The final position is

34165210897

If Blue moves at y:

Red can respond at 2, which is connected to the bottom and forms a loose connection with the Red piece on the 5th row. To stop the immediate connection, Blue must play at a or b.

ab21

If Blue moves at a, Red connects via edge template IV2p.

4321

If Blue moves at b, Red connects via edge template IV2a.

4321

If Blue moves at z:

The situation is entirely symmetric to when Blue moves at y. Red can respond at 2. To stop the immediate connection, Blue must play at a or b.

ab21

If Blue moves at a, Red connects via edge template IV2p.

3421

If Blue moves at b, Red connects via edge template IV2a.

4321