Difference between revisions of "Template VI1/Intrusion on the 4th row"

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This page is devoted to details on how to [[Defending against intrusions in template VI1|defend against intrusions in template VI]]. This page explores what are the possibilities for Red to defend the template when Blue intrude on the 4th row.
 
This page is devoted to details on how to [[Defending against intrusions in template VI1|defend against intrusions in template VI]]. This page explores what are the possibilities for Red to defend the template when Blue intrude on the 4th row.
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R j2 B i4"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4
+
</hex>
+
  
 
Red should move here (or the equivalent mirror-image move at "+"):
 
Red should move here (or the equivalent mirror-image move at "+"):
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R h3 j2 B i4 E +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3 Pk3
+
</hex>
+
  
 
== Elimination of irrelevant Blue moves ==
 
== Elimination of irrelevant Blue moves ==
 
This gives Red several immediate threats:
 
This gives Red several immediate threats:
 
From III1a:
 
From III1a:
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Rg5
+
  coords="none"
Pg4 Ph4
+
  edges="bottom"
Ph5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pf6 Pg6 Ph6
+
  contents="R g5 h3 j2 B i4 E +:e7 +:f6 +:f7 +:g4 +:g6 +:g7 +:h4 +:h5 +:h6 +:h7"
Pe7 Pf7 Pg7 Ph7
+
/>
</hex>
+
  
 
From III1a again:
 
From III1a again:
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Rg5
+
  coords="none"
Pg4 Ph4
+
  edges="bottom"
Pf5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pe6 Pf6 Pg6
+
  contents="R g5 h3 j2 B i4 E +:d7 +:e6 +:e7 +:f5 +:f6 +:f7 +:g4 +:g6 +:g7 +:h4"
Pd7 Pe7 Pf7 Pg7
+
/>
</hex>
+
  
 
From III1b :
 
From III1b :
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Rg5
+
  coords="none"
Pg4 Ph4
+
  edges="bottom"
Pf5 Ph5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pe6 Pf6 Pg6 Ph6
+
  contents="R g5 h3 j2 B i4 E +:d7 +:e6 +:e7 +:f5 +:f6 +:g4 +:g6 +:g7 +:h4 +:h5 +:h6 +:h7"
Pd7 Pe7 Pg7 Ph7
+
/>
</hex>
+
  
 
From IV1a:
 
From IV1a:
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Rg4
+
  coords="none"
Pf4
+
  edges="bottom"
Pd5 Pe5 Pf5 Pg5 Ph5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pc6 Pd6 Pe6 Pf6 Pg6 Ph6
+
  contents="R g4 h3 j2 B i4 E +:b7 +:c6 +:c7 +:d5 +:d6 +:d7 +:e5 +:e6 +:e7 +:f4 +:f5 +:f6 +:f7 +:g5 +:g6 +:g7 +:h5 +:h6 +:h7"
Pb7 Pc7 Pd7 Pe7 Pf7 Pg7 Ph7
+
/>
</hex>
+
  
 
From IV1b:
 
From IV1b:
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Rg4
+
  coords="none"
Pf4 Ph4
+
  edges="bottom"
Pd5 Pe5 Pf5 Pg5 Ph5 Pi5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pc6 Pd6 Pe6    Pg6 Ph6 Pi6
+
  contents="R g4 h3 j2 B i4 E +:b7 +:c6 +:c7 +:d5 +:d6 +:d7 +:e5 +:e6 +:e7 +:f4 +:f5 +:f7 +:g5 +:g6 +:g7 +:h4 +:h5 +:h6 +:h7 +:i5 +:i6 +:i7"
Pb7 Pc7 Pd7 Pe7 Pf7 Pg7 Ph7 Pi7
+
/>
</hex>
+
  
 
The intersection of all of these leaves:  
 
The intersection of all of these leaves:  
<hex>
 
R7 C14 Q1
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Pg4
+
  coords="full bottom right"
   Pg5
+
   edges="bottom"
  Pg6
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pe7 Pg7
+
  contents="R h3 j2 B i4 E +:e7 +:g4 +:g5 +:g6 +:g7"
</hex>
+
/>
  
 
== Specific defense ==
 
== Specific defense ==
Line 140: Line 77:
  
 
=== Bg4 ===
 
=== Bg4 ===
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
 
+
  coords="none"
N:on Bg4 Rh4 Bg6 Rh5
+
  edges="bottom"
</hex>
+
  visible="area(a7,n7,n5,k2,i2,c5)"
 +
  contents="R h3 2:h4 4:h5 j2 B 1:g4 3:g6 i4"
 +
/>
 
And now either
 
And now either
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
 
+
  coords="none"
Bg4 Rh4 Bg6 Rh5
+
  edges="bottom"
N:on Bh6 Rj5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Pk3 Pi5
+
  contents="R h3 h4 h5 j2 2:j5 B g4 g6 1:h6 i4 E +:i5 +:k3"
</hex>
+
/>
  
 
or
 
or
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R h3 h4 h5 2:h6 j2 6:j5 4:j6 B g4 g6 3:g7 1:h7 i4 5:i6 E +:i5 +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
 
+
Bg4 Rh4 Bg6 Rh5
+
N:on Bh7 Rh6 Bg7 Rj6 Bi6 Rj5
+
Pk3 Pi5
+
</hex>
+
  
 
=== Bg5 ===
 
=== Bg5 ===
<hex>
 
R7 C14 Q1
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
 
Bi4 Rh3
 
  
N:on Bg5 Rf4
+
<hexboard size="7x14"
</hex>
+
  coords="full bottom right"
 +
  edges="bottom"
 +
  visible="area(a7,n7,n5,k2,i2,c5)"
 +
  contents="R 2:f4 h3 j2 B 1:g5 i4"
 +
/>
 
Threatening:
 
Threatening:
<hex>
 
R7 C14 Q1
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
Bg5 Rf4
+
  coords="full bottom right"
            Pe4
+
  edges="bottom"
      Pc5 R4d5 Pe5
+
  visible="area(a7,n7,n5,k2,i2,c5)"
  Pb6 Pc6 Pd6
+
  contents="R 4:d5 f4 h3 j2 B g5 i4 E +:a7 +:b6 +:b7 +:c5 +:c6 +:c7 +:d6 +:d7 +:e4 +:e5"
Pa7 Pb7 Pc7 Pd7
+
/>
</hex>
+
<hex>
+
R7 C14 Q1
+
1:BBBBBBBBBRBBBBB
+
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
Sa4 Sb4 Sc4 Sd4 Sn4
+
Sa5 Sb5
+
Sa6
+
  
Bi4 Rh3
+
<hexboard size="7x14"
Bg5 Rf4
+
  coords="full bottom right"
      Pe5 Pf5
+
  edges="bottom"
      R4e6
+
  visible="area(a7,n7,n5,k2,i2,c5)"
    Pd7 Pe7
+
  contents="R 4:e6 f4 h3 j2 B g5 i4 E +:d7 +:e5 +:e7 +:f5"
</hex>
+
/>
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q1
+
  coords="full bottom right"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R 4:e5 f4 h3 j2 B g5 i4 E +:b7 +:c6 +:c7 +:d5 +:d6 +:e6 +:e7 +:f5 +:f6 +:f7"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
Bg5 Rf4
+
      Pd5 R4e5 Pf5
+
  Pc6 Pd6 Pe6 Pf6
+
Pb7 Pc7    Pe7 Pf7
+
</hex>
+
 
So the only hope for Blue lies in the intersection of the threats, Be5, but it is unsufficient:
 
So the only hope for Blue lies in the intersection of the threats, Be5, but it is unsufficient:
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q1
+
  coords="full bottom right"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R f4 2:f5 4:f6 6:g6 h3 j2 8:j5 B 1:e5 3:e7 5:f7 g5 7:g7 i4 E +:i5 +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
Bg5 Rf4
+
N:on Be5 Rf5 Be7 Rf6 Bf7 Rg6 Bg7 Rj5
+
Pk3 Pi5
+
</hex>
+
 
=== Bg6 ===
 
=== Bg6 ===
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
 
+
  coords="none"
N:on Bg6 Rg5 Bf6 Rh5
+
  edges="bottom"
Pe7
+
  visible="area(a7,n7,n5,k2,i2,c5)"
</hex>
+
  contents="R 2:g5 h3 4:h5 j2 B 3:f6 1:g6 i4 E +:e7"
 +
/>
  
 
3 could be played at + with the same effect; in any case
 
3 could be played at + with the same effect; in any case
 
now either
 
now either
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R g5 h3 h5 j2 2:j5 B f6 g6 1:h6 i4 E +:i5 +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
 
+
Bg6 Rg5 Bf6 Rh5
+
N:on Bh6 Rj5
+
Pi5 Pk3
+
</hex>
+
  
 
or
 
or
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R g5 h3 h5 2:h6 j2 6:j5 4:j6 B f6 g6 3:g7 1:h7 i4 5:i6 E +:i5 +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
 
+
Bg6 Rg5 Bf6 Rh5
+
N:on Bh7 Rh6 Bg7 Rj6 Bi6 Rj5
+
Pk3 Pi5
+
</hex>
+
  
 
=== Be7 ===
 
=== Be7 ===
 
Either this
 
Either this
<hex>
 
R7 C14 Q0
 
1:BBBBBBBBBRBBBBB
 
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
 
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
 
Sa4 Sb4 Sc4 Sd4 Sn4
 
Sa5 Sb5
 
Sa6
 
  
Bi4 Rh3
+
<hexboard size="7x14"
 
+
  coords="none"
N:on Be7 Rg5 Bg6 Rh5 Bh6 Rj5
+
  edges="bottom"
Pi5 Pk3
+
  visible="area(a7,n7,n5,k2,i2,c5)"
 
+
  contents="R 2:g5 h3 4:h5 j2 6:j5 B 1:e7 3:g6 5:h6 i4 E +:i5 +:k3"
</hex>
+
/>
  
 
or a minor variation
 
or a minor variation
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R 2:g5 h3 4:h5 6:h6 j2 10:j5 8:j6 B 1:e7 3:g6 7:g7 5:h7 i4 9:i6 E +:i5 +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
 
+
N:on Be7 Rg5 Bg6 Rh5 Bh7 Rh6 Bg7 Rj6 Bi6 Rj5
+
Pi5 Pk3
+
 
+
</hex>
+
  
 
=== Bg7 ===
 
=== Bg7 ===
  
<hex>
+
<hexboard size="7x14"
R7 C14 Q0
+
  coords="none"
1:BBBBBBBBBRBBBBB
+
  edges="bottom"
Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sg2 Sh2 Rj2 Sl2 Sm2 Sn2
+
  visible="area(a7,n7,n5,k2,i2,c5)"
Sa3 Sb3 Sc3 Sd3 Se3 Sf3 Sm3 Sn3
+
  contents="R 2:g5 h3 4:h6 j2 8:j5 6:j6 B 3:f6 1:g7 5:h7 i4 7:i6 E +:i5 +:k3"
Sa4 Sb4 Sc4 Sd4 Sn4
+
/>
Sa5 Sb5
+
Sa6
+
 
+
Bi4 Rh3
+
 
+
N:on Bg7 Rg5 Bf6 Rh6 Bh7 Rj6 Bi6 Rj5
+
Pi5 Pk3
+
 
+
</hex>
+
  
 
[[category:edge templates]]
 
[[category:edge templates]]

Revision as of 02:33, 9 March 2021

This page is devoted to details on how to defend against intrusions in template VI. This page explores what are the possibilities for Red to defend the template when Blue intrude on the 4th row.

Red should move here (or the equivalent mirror-image move at "+"):

Elimination of irrelevant Blue moves

This gives Red several immediate threats: From III1a:

From III1a again:

From III1b :

From IV1a:

From IV1b:

The intersection of all of these leaves:

abcdefghijklmn234567

Specific defense

So we must deal with each of these responses. (Which will not be too hard!)

Bg4

1243

And now either

21

or

625431

Bg5

abcdefghijklmn23456721

Threatening:

abcdefghijklmn2345674
abcdefghijklmn2345674
abcdefghijklmn2345674

So the only hope for Blue lies in the intersection of the threats, Be5, but it is unsufficient:

abcdefghijklmn23456712846357

Bg6

2431

3 could be played at + with the same effect; in any case now either

21

or

625431

Be7

Either this

246351

or a minor variation

24103698175

Bg7

28347615