Difference between revisions of "Edge template V1b"

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(→‎Intrusion at x: Finished case x.)
(→‎Intrusion at w: did part of case w)
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==== Intrusion at w ====
 
==== Intrusion at w ====
  
−
To do.
+
Red responds with
 +
 
 +
<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"
 +
  />
 +
 
 +
, ​ and defends the [[ziggurat]] from red3.
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 B 2:g5"
 +
  />
 +
 
 +
Continuation:
 +
<div class="toccolours mw-collapsible  mw-collapsed">
 +
 
 +
Red's main threat is as follows.
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:e4 B 2:g5 S d6 e6 e5 e4 f4 f3 h3 h4 i3"
 +
  />
 +
 
 +
 
 +
If Blue plays the upper-left shaded cell, then Red plays red5 anyway, after which Red connects via
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:e4 7:f4 B 2:g5 4:f3 6:e5 6:d6 E *:f5 *:h3"
 +
  />
 +
 
 +
or
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:e4 7:e5 9:f5 11:h3 B 2:g5 4:f3 6:e6 8:d6 10:f6"
 +
  />
 +
 
 +
.
 +
 
 +
 
 +
If Blue plays any of the other 3 leftmost shaded cells, then Red plays
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:f2 B 2:g5 4:e4 4:e5 4:d6 E *:f5 *:h3"
 +
  />
 +
 
 +
, ​ connecting via one of the stars.
 +
 
 +
 
 +
If Blue plays the other shaded cell along the edge, then Red responds with
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:h3 B 2:g5 4:e6"
 +
  />
 +
 
 +
, forcing Blue to defend towards the top, after which
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:h3 7:e4 B 2:g5 4:e6 6:(f2 f3 g2)"
 +
  />
 +
 
 +
connects directly or via red1.
 +
 
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a6,f1,h1,h3,i2,i4,g6)"
 +
  contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 h5 g6 5:h3 7:e4 9:e5 11:f5 B 2:g5 4:e6 6:(f2 f3 g2) 8:f4 10:d6"
 +
  />
 +
 
 +
 
 +
If Blue plays the middle shaded cell, then Red
 +
 
 +
<b>to be completed</b>
 +
</div>
  
 
==== Intrusion at x ====
 
==== Intrusion at x ====

Revision as of 09:59, 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.


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] 
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