Difference between revisions of "Edge template V1b"

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(Intrusion at x: Added lots of reductions.)
(Intrusion at x: Finished another case.)
Line 283: Line 283:
 
   edges="bottom"
 
   edges="bottom"
 
   visible="area(f1,a6,n6,n4,l2,h1)"
 
   visible="area(f1,a6,n6,n4,l2,h1)"
   contents="R e2 R g3 R d4 B c5 B d5 R f5 B e6 B e3 R d3 S f3 f4"
+
   contents="R e2 R g3 R d4 B c5 B d5 R f5 B e6 B e3 R d3 S f3 f4 E r:f3 t:f4"
 
   />
 
   />
  
 +
If Blue plays at r:
 +
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 R g3 R d4 B c5 B d5 R f5 B e6 B e3 R d3 B 1:f3 R 2:e4"
 +
  />
 +
 +
And then, depending on Blue's next move, either a [[crescent]]
 +
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 R g3 R d4 B c5 B d5 R f5 B e6 B e3 R d3 B 1:f3 R 2:e4 B 3:e5 R 4:f4 B 5:f6 R 6:h5"
 +
  />
 +
 +
or [[Tom's move]]:
 +
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 R g3 R d4 B c5 B d5 R f5 B e6 B e3 R d3 B 1:f3 R 2:e4 B 3:f6 R 4:e5 B 5:d6 R 6:i4"
 +
  />
 +
 +
If Blue plays at t:
 +
 +
<hexboard size="6x14"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,a6,n6,n4,l2,h1)"
 +
  contents="R e2 R g3 R d4 B c5 B d5 R f5 B e6 B e3 R d3 B 1:f4"
 +
  />
 +
 +
To be continued.
  
 
</div>
 
</div>

Revision as of 02:23, 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