Difference between revisions of "Size 6 e3 loses (Y)"

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(in the Y game.)
 
(Converted to new hexboard diagrams, some editing.)
 
Line 1: Line 1:
e3 and symmetrical moves (c5 e5) are losing moves even if the [[swap rule]] is disabled. Blue answers d5.
+
e3 and symmetrical moves (c5, e5) are losing moves even if the [[swap rule]] is disabled. Blue answers d5.
  
<hex> C6 R6 Q1
+
<hexboard size="6x6"
1:SSSSS_
+
  edges="none"
2:SSSS__
+
  coords="bottom right"
3:SSS_R_
+
  visible="area(f1,a6,f6)"
4:SS____
+
  contents="R e3 B d5"
5:S__B__
+
  />
6:______
+
</hex>
+
  
Blue threats to win via b6 reduction (or e6).
+
Blue threatens to win via b6 reduction (or e6).
The plus marked hexes show the [[threat space]].
+
The threat's [[carrier]] is shown.
  
<hex> C6 R6 Q1
+
<hexboard size="6x6"
1:SSSSS_
+
  edges="none"
2:SSSS__
+
  coords="bottom right"
3:SSS_R+
+
  visible="area(f1,a6,f6)"
4:SS__++
+
  contents="R e3 B d5 B *:b6 S area(b5,a6,f6,f3,d5)"
5:S++B++
+
  />
6:+B++++
+
</hex>
+
  
Blue also threats to win via c5 reduction (or e5).
+
Blue also threatens to win via c5 reduction (or e5).
So Red has to play in one of the hexes that belong to the four threat spaces.
+
  
<hex> C6 R6 Q1
+
<hexboard size="6x6"
1:SSSSS_
+
  edges="none"
2:SSSS__
+
  coords="bottom right"
3:SSS_R_
+
  visible="area(f1,a6,f6)"
4:SS____
+
  contents="R e3 B d5 B *:c5 S area(c4,a5,b6,f6,f3,d5)"
5:S++B++
+
  />
6:_++++_
+
</hex>
+
  
== Solution to intrusion in b5,b6 or c5 ==
+
So Red must play in one of the hexes that belong to the carriers of all four threats.
  
Blue plays d4.
+
<hexboard size="6x6"
 +
  edges="none"
 +
  coords="bottom right"
 +
  visible="area(f1,a6,f6)"
 +
  contents="R e3 B d5 S area(a5,b6,e6,f5)-d5"
 +
  />
  
<hex> C6 R6 Q1
+
== Solution to intrusion at b5, b6 or c5 ==
1:SSSSS_
+
2:SSSS__
+
3:SSS_R_
+
4:SS_B__
+
5:SRRB__
+
6:_R____
+
</hex>
+
  
The 2 threats share no space so Blue wins.
+
If Red plays at b5, b6, or c5 (or all three), Blue plays d4.
  
<hex> C6 R6 Q1
+
<hexboard size="6x6"
1:SSSSS_
+
  edges="none"
2:SSSS__
+
  coords="bottom right"
3:SSS+R+
+
  visible="area(f1,a6,f6)"
4:SS+BB+
+
  contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4"
5:SRRB__
+
  />
6:_R++__
+
</hex>
+
  
<hex> C6 R6 Q1
+
On the left, 2 is connected to the edge. On the right, Blue now has the following 3 threats:
1:SSSSS_
+
2:SSSS__
+
3:SSS+R_
+
4:SS+B__
+
5:SRRB++
+
6:_R_+B+
+
</hex>
+
  
Blue had an [[angle template]]
+
<hexboard size="6x6"
 +
  edges="none"
 +
  coords="bottom right"
 +
  visible="area(f1,a6,f6)"
 +
  contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4 B *:e4 S (e4 f3 f4 d5 c6 d6)"
 +
  />
  
== Solution to intrusion in c6 ==
+
<hexboard size="6x6"
 +
  edges="none"
 +
  coords="bottom right"
 +
  visible="area(f1,a6,f6)"
 +
  contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4 B *:e5 S (e5 f4 f5 d5 c6 e6)"
 +
  />
  
Blue plays c5.
+
<hexboard size="6x6"
<hex> C6 R6 Q1
+
  edges="none"
1:SSSSS_
+
  coords="bottom right"
2:SSSS__
+
  visible="area(f1,a6,f6)"
3:SSS_R_
+
  contents="R e3 B d5 R 1:(b5 b6 c5) B 2:d4 B *:e6 S (d5 d6 e5 e6 f5 f6)"
4:SS____
+
  />
5:S_BB__
+
Since the threats don't overlap, Blue wins. In other words, Blue had a [[corner template]].
6:__R___
+
</hex>
+
  
The solution is very similar.
+
== Solution to intrusion at c6 ==
 +
 
 +
If Red intrudes at c6, Blue plays c5.
 +
 
 +
<hexboard size="6x6"
 +
  edges="none"
 +
  coords="bottom right"
 +
  visible="area(f1,a6,f6)"
 +
  contents="R e3 B d5 R 1:c6 B 2:c5"
 +
  />
 +
 
 +
The rest of the solution is very similar.
  
 
[[category:Y]]
 
[[category:Y]]

Latest revision as of 00:18, 15 July 2021

e3 and symmetrical moves (c5, e5) are losing moves even if the swap rule is disabled. Blue answers d5.

abcdef123456

Blue threatens to win via b6 reduction (or e6). The threat's carrier is shown.

abcdef123456

Blue also threatens to win via c5 reduction (or e5).

abcdef123456

So Red must play in one of the hexes that belong to the carriers of all four threats.

abcdef123456

Solution to intrusion at b5, b6 or c5

If Red plays at b5, b6, or c5 (or all three), Blue plays d4.

abcdef1234562111

On the left, 2 is connected to the edge. On the right, Blue now has the following 3 threats:

abcdef1234562111
abcdef1234562111
abcdef1234562111

Since the threats don't overlap, Blue wins. In other words, Blue had a corner template.

Solution to intrusion at c6

If Red intrudes at c6, Blue plays c5.

abcdef12345621

The rest of the solution is very similar.