Difference between revisions of "Corner template"

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(Suggestion to delete the two 3-3 templates.)
(Added a comment)
Line 99: Line 99:
 
Sb6 Sc6 Sd6 Se6</hex>
 
Sb6 Sc6 Sd6 Se6</hex>
  
<hex> R6 C6
+
<hex> R6 C6 Q1
 
Ve3 Sf3
 
Ve3 Sf3
 
Vd4 Se4 Sf4
 
Vd4 Se4 Sf4
Line 105: Line 105:
 
Sb6 Sc6 Sd6 Se6 Sf6</hex>
 
Sb6 Sc6 Sd6 Se6 Sf6</hex>
  
The following ones are valid but not necessarily minimal:
+
If Blue plays e5, Red's only winning response is f4, displaying standard Y strategy in a nutshell:
 +
 
 +
The connection to the upper right side is established, and there are two separate ways to connect to the bottom side.
 +
 
 +
 
 +
The following templates are valid but not necessarily minimal:
  
 
<hex> R7 C7
 
<hex> R7 C7

Revision as of 10:02, 24 October 2011

In Y, players have to link the three sides, and a corner links 2 edges. Similarly to edge templates in Hex there are Corner Templates in Y.

Red is trying to link right and bottom edges through a corner template.

Corner template II II

Corner template II III

Corner template III III

This one is based on the ziggurat.

(Suggestion: Delete this template. Red is not connected to the third side.)

Another one

abcdef123456

(Suggestion: Delete this template also. Red can only be connected to the third side through d3. If d3 is red then we can also connect to the two sides with e3 or e4 instead of d4, both requiring a smaller template than d4 does.)

Because of the threat of reduction to a smaller corner template with e5, Blue has to answer within the marked hexes:

abcdef123456

Because of the threat of reduction to two edge templates with move e3, Blue has to answer within the marked hexes:


abcdef123456

Because of move c5 reducing, Blue has to answer within the marked hexes:


abcdef123456

The only common hex is d5.

Red can then play e4 and connection to both edges is obvious.

abcdef123456

Some two-stone templates

abcdef123456

If Blue plays e5, Red's only winning response is f4, displaying standard Y strategy in a nutshell:

The connection to the upper right side is established, and there are two separate ways to connect to the bottom side.


The following templates are valid but not necessarily minimal: