Difference between revisions of "Edge template VI2a"

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(Block at E3)
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<hex>R6 C10 Vg1 Vh1 Sa1 Sa2 Sa3 Sa4 Sa5 Sb1 Sb2 Sb3 Sb4 Sc1 Sc2 Sc3 Sd1 Sd2 Se1 Sj1 Sj2 Sj3 Bf4 Rd4 B1e3 R2f3 B3e4 R4h3</hex>
 
<hex>R6 C10 Vg1 Vh1 Sa1 Sa2 Sa3 Sa4 Sa5 Sb1 Sb2 Sb3 Sb4 Sc1 Sc2 Sc3 Sd1 Sd2 Se1 Sj1 Sj2 Sj3 Bf4 Rd4 B1e3 R2f3 B3e4 R4h3</hex>
  
The Red piece at H3 is connected to the top and threatening to connect. Blue has one defense:
+
The Red piece at H3 is connected to the top and threatening to connect to the bottom. Blue has one defense:
  
 
<hex>R6 C10 Vg1 Vh1 Sa1 Sa2 Sa3 Sa4 Sa5 Sb1 Sb2 Sb3 Sb4 Sc1 Sc2 Sc3 Sd1 Sd2 Se1 Sj1 Sj2 Sj3 Bf4 Rd4 Be3 Rf3 Be4 Rh3 B1h4 R2g4 B3f6 R4f5 B5e6 R6e5 B7d6 R8d5 B9c6</hex>
 
<hex>R6 C10 Vg1 Vh1 Sa1 Sa2 Sa3 Sa4 Sa5 Sb1 Sb2 Sb3 Sb4 Sc1 Sc2 Sc3 Sd1 Sd2 Se1 Sj1 Sj2 Sj3 Bf4 Rd4 Be3 Rf3 Be4 Rh3 B1h4 R2g4 B3f6 R4f5 B5e6 R6e5 B7d6 R8d5 B9c6</hex>
  
Attempts by blue to block the use of the D4 piece as a ladder escape can be shown to not work
+
And now Red can connect via B5.
 
+
Attempts by blue to block the use of the D4 piece as a ladder escape can be shown to not work.
And now Red can connect via B5.  
+
  
 
== Intrusion at G2 ==
 
== Intrusion at G2 ==

Revision as of 19:17, 11 June 2009

The edge template template VI2

Let us first see what possibilities Red has if he moves first.

There are two obvious options:

In both diagrams the possible intrusion points are marked by (+). So we only have to consider the intersection of the intrusion points. They are:

Intrusion at E5 and F5

If Blue blocks at E5 then Red plays F3, reducing to Template IVb

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Likewise if blue blocks at F5:

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Intrusion at E6

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Red threatens to connect via D4. Blue must respond in one of the marked hexs.

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The H4 piece is connected to the bottom with template III-1-a, and is connected to the top in two non-overlapping ways:

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and

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Intrusion at F4

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The Red piece at D4 is connected to the bottom. Blue has two direct attempts to block:

Block at F2

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Red is now connected to the bottom via template III-1-a. Note that neither of Red's threats overlapped.

Block at E3

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The Red piece at H3 is connected to the top and threatening to connect to the bottom. Blue has one defense:

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And now Red can connect via B5. Attempts by blue to block the use of the D4 piece as a ladder escape can be shown to not work.

Intrusion at G2

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Blue has four options that don't immediately reduce to another edge template:

Block at E4

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Red's G3 piece is connected to the top via F3 or H2.

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Here Red has created a Ladder escape fork. If blue blocks the ladder Red plays at D3.

Block at D5

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And Red has connected. If blue choose to play at E6 instead of E5:

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Block at C6

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Block at E6

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Play continues...

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