Difference between revisions of "Edge template IV1d"

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(Simplified the explanation with a link to Tom's move.)
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Template IV1-d is a 4th row [[edge template]] with one stone. It also uses some space on the 5th row.
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<hex> R5 C9
 
<hex> R5 C9
 
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
 
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
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     </hex>
 
     </hex>
  
This template has first been mentioned by Mike Amling on [http://www.drking.org.uk/hexagons/hex/templates.html David King's Hex template page]
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This template was first mentioned by Mike Amling on [http://www.drking.org.uk/hexagons/hex/templates.html David King's Hex template page]
  
== [[Template reduction]]s ==
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== Defending the template ==
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Red's main threats are:
 
<hex> R5 C9
 
<hex> R5 C9
 
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
 
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
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     </hex>
 
     </hex>
  
There is one place that is covered by all template reductions. The only chance for Blue to prevent Red from connecting to bottom is to play in this area.
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There is one hex where these threats overlap. Therefore, the only chance for Blue to block Red's connection is to play there.
  
 
<hex> R5 C9
 
<hex> R5 C9
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Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
 
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
 
  Sa2 Sb2 Sc2 Vd2
 
  Sa2 Sb2 Sc2 Vd2
   Sa3 Sb3 V1c3 Hd3
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   Sa3 Sb3 V1c3 Hd3   V5f3
 
   Sa4    V3c4
 
   Sa4    V3c4
 
       H2b5 H4c5
 
       H2b5 H4c5
 
     </hex>
 
     </hex>
  
<hex> R5 C9
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Now Red is connected by [[Tom's move]].
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
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Sa2 Sb2 Sc2 Vd2
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  Sa3 Sb3 Vc3 Hd3    V5f3
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  Sa4    Vc4
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        Hb5 Hc5
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    </hex>
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=== More Reductions ===
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Let's study this position with template reductions:
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<hex> R5 C9
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Sa1 Sb1 Sc1 Sd1 Sh1 Si1
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Sa2 Sb2 Sc2 Vd2 Si2
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  Sa3 Sb3 Vc3 Hd3    Vf3 Pg3
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  Sa4    Vc4    V1e4 Pf4 Pg4
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        Hb5 Hc5    Pe5 Pf5 Pg5
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    </hex>
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<hex> R5 C9
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Sa1 Sb1 Sc1 Sd1 Sh1 Si1
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Sa2 Sb2 Sc2 Vd2    Si2
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  Sa3 Sb3 Vc3 Hd3    Vf3
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  Sa4    Vc4    V1e4
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        Hb5 Hc5 Pd5 Pe5
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    </hex>
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=== First Attempt for Blue ===
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<hex> R5 C9
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Sa1 Sb1 Sc1 Sd1 Sh1 Si1
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Sa2 Sb2 Sc2 Vd2      Si2       
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  Sa3 Sb3 Vc3 Hd3    Vf3
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  Sa4    Vc4 V2d4        V4g4
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        Hb5 Hc5 H3d5 H1e5
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    </hex>
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=== Second Attempt for Blue ===
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<hex> R5 C9
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Sa1 Sb1 Sc1 Sd1              Sh1 Si1
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Sa2 Sb2 Sc2 Vd2      V4g2        Si2
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  Sa3 Sb3 Vc3 Hd3    Vf3
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  Sa4    Vc4 V2d4 H1e4
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        Hb5 Hc5 H3d5
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    </hex>
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This leads to [[edge template IV2b]].
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[[category:edge templates]]
 
[[category:edge templates]]

Revision as of 06:09, 9 December 2020

Template IV1-d is a 4th row edge template with one stone. It also uses some space on the 5th row.

This template was first mentioned by Mike Amling on David King's Hex template page

Defending the template

Red's main threats are:

There is one hex where these threats overlap. Therefore, the only chance for Blue to block Red's connection is to play there.

Development of the remaining case

15324

Now Red is connected by Tom's move.