Selinger: Updated a link.

2021-06-20T21:56:43Z

Updated a link.

Selinger: Converted to new hexboard diagrams. Still need to fix coordinates.

2021-03-09T02:39:59Z

Converted to new hexboard diagrams. Still need to fix coordinates.

Show changes

Tommah: fixed diagrams

2015-08-22T16:34:28Z

fixed diagrams

Elemay: Defending against VI1 right (other) intrusion on the 1st row

2010-08-20T00:41:51Z

Defending against VI1 right (other) intrusion on the 1st row

New page

This article deals with a special case in [[defending against intrusions in template VI1]], namely the right-hand ('other') intrusion on the 1st that is not eliminated by [[sub-templates threat]]s.

== Basic situation ==

<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

Bg7
</hex>

Red should go here:

<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

Bg7 MR Mh5 Pi3 Pi4
</hex>

The Red 1 hex is connected to the bottom, and threatens to connect to the top through
either one of the "+" hexes. It is now Blue's move.

== Claim #1: Blue must move in one of the following + squares below ==

If Blue moves to

<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

Bg7 Rh5 Pi3 Pi4 Pe7 Pf6 Pf7 Pg5 Pg6 Ph6 Ph7 Pi5 Pi6 Pi7
</hex>

If not, Red can move to either i3 or i4 and secure a connection.

== Proposed first Red response ==

If Blue moves to {e7, f6, f7, g5, g6}, Red should take i6 and force a Blue response in either i3 or i4.
If Blue moves to {h6, h7, i5, i6, i7}, Red should take f6 and force a Blue response in either i3 or i4.
If Blue takes i3 or i4 direcly, proceed with [[#Response_to_i3|Response to i3]] or [[#Response_to_i4|Response to i4]] instructions below.

== Response to i3 ==

If we've arrived here, Blue has just taken i3, i4 is free, h5 is securely connected to the bottom and Blue has at most one of the "+" squares below (with one exception; see [[#i3_addendum|i3 addendum]]). In this case, Red should first take j3 and force a Blue response at i4:

<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

Bg7 Rh5 Bi3 Pe7 Pf6 Pf7 Pg5 Pg6 Ph6 Ph7 Pi5 Pi6 Pi7
MV Mj3 Mi4
</hex>

CASE #1: Blue has i5.
SOLUTION:

<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

Bg7 Rh5 Bi5 Bi3
Rj3 Bi4
MV Mk4 Mk5 Mj5 Mi7 Mi6 Mh7 Mh6
</hex>

CASE #2: Blue has no tiles in {h6, h7, i5, i6, i7}, or has either {h6, h7, i6} (indicated by +).
SOLUTION:

<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

Bg7 Rh5 Bi3
Rj3 Bi4
MV Mj4 Mi5 Mk5
Ph6, Ph7, Pi6
</hex>

CASE #3: Blue has i7.
SOLUTION:

<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

Bg7 Rh5 Bi7 Bi3
Rj3 Bi4
MV Mj4 Mi5 Mj5 Pj6 Pj7 Pk5 Pk6 Pk7
</hex>

Blue must take one of the + hexes or Red wins. Now, Red can play i6 and force h7, then play h6 and connect to h5 (which is already securely connected.

== Response to i4 ==

If we've arrived here, Blue has just taken i4, i3 is free, h5 is securely connected to the bottom and Blue has at most one of the "+" squares below (with one exception; see [[#i4_addendum|i4 addendum]]). In this case, Red should first take h3 and force a Blue response at h4:

<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

Bg7 Rh5 Bi4 Pe7 Pf6 Pf7 Pg5 Pg6 Ph6 Ph7 Pi5 Pi6 Pi7
MV Mh3 Mh4
</hex>

CASE #1: Blue has g5.
SOLUTION:

<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

Bg7 Rh5 Bg5 Bi4 Rh3 Bh4
MV Mf4 Me5 Mf5 Me7 Mf6 Mf7 Mg6
</hex>

CASE #2: Blue has no tiles in {e7, f6, f7, g5, g6}, or has either {f6, f7, g6} (indicated by +).
SOLUTION:

<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

Bg7 Rh5 Bi4 Rh3 Bh4
MV Mg4 Mg5 Me5
Pf6, Pf7, Pg6
</hex>

CASE #3: Blue has e7.
SOLUTION:

<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

Bg7 Rh5 Be7 Bi4 Rh3 Bh4
MV Mg4 Mg5 Mf5
Pc7 Pd6 Pd7 Pe5 Pe6
</hex>

Blue must take one of the + hexes or Red wins. Now, Red can play f6 and force f7, then play g6 and connect to h5 (which is already securely connected.

== i3 addendum ==

I claimed that Blue can have only one of the + hexes but this is not quite true if Blue first "plays out" the secured bridge. But in this case Red definitely can acquire i6.

<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

Bg7 Rh5 Bi3 Rh6 Bi5 Ri6 Bf6
Pe7 Pf7 Pg5 Pg6 Ph7 Pi7
</hex>

In this case, Red can still play j3 to force i4, then k4 to force j5, then l5 wins:

<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

Bg7 Rh5 Bi3 Rh6 Bi5 Ri6 Bf6
MV Mj3 Mi4 Mk4 Mj5 Ml5
</hex>

== i4 addendum ==

I claimed that Blue can have only one of the + hexes but this is not quite true if Blue first "plays out" the secured bridge. But in this case Red definitely can acquire f6.

<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

Bg7 Rh5 Bi4 Bg5 Rg6 Rf6 Bi6
Pe7 Pf7 Ph6 Ph7 Pi5 Pi7
</hex>

In this case, Red can still play h3 to force h4, then f4 to force f5, then d5 wins:

<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

Bg7 Rh5 Bi4 Bg5 Rg6 Rf6 Bi6
MV Mh3 Mh4 Mf4 Mf5 Md5
</hex>

[[category:edge templates]]

← Older revision		Revision as of 21:56, 20 June 2021
Line 1:		Line 1:
−	This article deals with a special case in [[~~defending against intrusions in~~ template ~~VI1~~]], namely the right-hand ('other') intrusion on the 1st that is not eliminated by [[sub-templates threat]]s.	+	This article deals with a special case in the defense of [[edge template VI1a]], namely the right-hand ('other') intrusion on the 1st that is not eliminated by [[sub-templates threat]]s.

	== Basic situation ==		== Basic situation ==

@@ Line 26: / Line 26: @@
 Sa6
-Bg7  MR Mh5 Pi3 Pi4
+Bg7  red M1h5 Pi3 Pi4
 </hex>
@@ Line 71: / Line 71: @@
 Bg7 Rh5 Bi3 Pe7 Pf6 Pf7 Pg5 Pg6 Ph6 Ph7 Pi5 Pi6 Pi7
-MV Mj3 Mi4
+red M1j3 Mi4
 </hex>
@@ Line 88: / Line 88: @@
 Bg7 Rh5 Bi5 Bi3
 Rj3 Bi4
-MV Mk4 Mk5 Mj5 Mi7 Mi6 Mh7 Mh6
+red Mk4 Mk5 Mj5 Mi7 Mi6 Mh7 Mh6
 </hex>
@@ Line 105: / Line 105: @@
 Bg7 Rh5 Bi3
 Rj3 Bi4
-MV Mj4 Mi5 Mk5
+red Mj4 Mi5 Mk5
 Ph6, Ph7, Pi6
 </hex>
@@ Line 123: / Line 123: @@
 Bg7 Rh5 Bi7 Bi3
 Rj3 Bi4
-MV Mj4 Mi5 Mj5 Pj6 Pj7 Pk5 Pk6 Pk7
+red Mj4 Mi5 Mj5 Pj6 Pj7 Pk5 Pk6 Pk7
 </hex>
@@ Line 142: / Line 142: @@
 Bg7 Rh5 Bi4 Pe7 Pf6 Pf7 Pg5 Pg6 Ph6 Ph7 Pi5 Pi6 Pi7
-MV Mh3 Mh4
+red Mh3 Mh4
 </hex>
@@ Line 158: / Line 158: @@
 Bg7 Rh5 Bg5 Bi4 Rh3 Bh4
-MV Mf4 Me5 Mf5 Me7 Mf6 Mf7 Mg6
+red M1f4 Me5 Mf5 Me7 Mf6 Mf7 Mg6
 </hex>
@@ Line 174: / Line 174: @@
 Bg7 Rh5 Bi4 Rh3 Bh4
-MV Mg4 Mg5 Me5
+red M1g4 Mg5 Me5
 Pf6, Pf7, Pg6
 </hex>
@@ Line 191: / Line 191: @@
 Bg7 Rh5 Be7 Bi4 Rh3 Bh4
-MV Mg4 Mg5 Mf5
+red M1g4 Mg5 Mf5
 Pc7 Pd6 Pd7 Pe5 Pe6
 </hex>
@@ Line 227: / Line 227: @@
 Bg7 Rh5 Bi3 Rh6 Bi5 Ri6 Bf6
-MV Mj3 Mi4 Mk4 Mj5 Ml5
+red M1j3 Mi4 Mk4 Mj5 Ml5
 </hex>
@@ Line 260: / Line 260: @@
 Bg7 Rh5 Bi4 Bg5 Rg6 Rf6 Bi6
-MV Mh3 Mh4 Mf4 Mf5 Md5
+red M1h3 Mh4 Mf4 Mf5 Md5
 </hex>

Template VI1/Other Intrusion on the 1st row - Revision history

Selinger: Updated a link.

Selinger: Converted to new hexboard diagrams. Still need to fix coordinates.

Tommah: fixed diagrams

Elemay: Defending against VI1 right (other) intrusion on the 1st row