Difference between revisions of "Edge template IV1d"

From HexWiki
Jump to: navigation, search
m (cat. edge template)
(Copy-editing of diagrams.)
 
(4 intermediate revisions by 3 users not shown)
Line 1: Line 1:
<hex> R5 C9
+
Template IV1-d is a 4th row [[edge template]] with one stone. It also uses some space on the 5th row.
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
Sa2 Sb2 Sc2 Vd2
+
  Sa3 Sb3
+
  Sa4
+
    </hex>
+
  
This template has first been mentionned by Mike Amling on [http://www.drking.plus.com/hexagons/hex/templates.html David King's Hex template page]
+
<hexboard size="5x9"
 +
  coords="none"
 +
  edges="bottom"
 +
  visible="area(e1,a5,i5,i3,g1)"
 +
  contents="R d2"
 +
  />
  
== [[Template reduction]]s ==
+
This template was first mentioned by Mike Amling on [http://www.drking.org.uk/hexagons/hex/templates.html David King's Hex template page]
<hex> R5 C9
+
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
Sa2 Sb2 Sc2 Vd2
+
  Sa3 Sb3 Pc3 Pd3
+
  Sa4    Vc4
+
        Pb5 Pc5
+
    </hex>
+
  
<hex> R5 C9
+
== Defending the template ==
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
Sa2 Sb2 Sc2 Vd2 Pe2
+
  Sa3 Sb3    Pd3 Ve3 Pf3
+
  Sa4        Pd4 Pe4 Pf4
+
            Pc5 Pd5 Pe5 Pf5
+
    </hex>
+
  
<hex> R5 C9
+
Red's main threats are:
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
<hexboard size="5x9"
Sa2 Sb2 Sc2 Vd2
+
  coords="none"
   Sa3 Sb3 Pc3 Vd3 Pe3
+
  edges="bottom"
  Sa4 Pb4 Pc4 Pd4 Pe4
+
  visible="area(e1,a5,i5,i3,g1)"
    Pa5 Pb5    Pd5 Pe5
+
  contents="R d2 c4 S (d2 c4 c3 d3 b5 c5)"
    </hex>
+
  />
 +
<hexboard size="5x9"
 +
  coords="none"
 +
   edges="bottom"
 +
  visible="area(e1,a5,i5,i3,g1)"
 +
  contents="R d2 e3 S (d2 e3 e2 d3 f3 d4 e4 f4 c5 d5 e5 f5)"
 +
  />
 +
<hexboard size="5x9"
 +
  coords="none"
 +
  edges="bottom"
 +
  visible="area(e1,a5,i5,i3,g1)"
 +
  contents="R d2 d3 S (d2 d3 c3 e3 b4 c4 d4 e4 a5 b5 d5 e5)"
 +
  />
  
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.
+
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
+
<hexboard size="5x9"
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
  coords="none"
Sa2 Sb2 Sc2 Vd2
+
  edges="bottom"
   Sa3 Sb3    Hd3
+
   visible="area(e1,a5,i5,i3,g1)"
  Sa4
+
  contents="R d2 B d3"
    </hex>
+
  />
  
 
== Development of the remaining case ==
 
== Development of the remaining case ==
  
<hex> R5 C9
+
<hexboard size="5x9"
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
  coords="none"
Sa2 Sb2 Sc2 Vd2
+
  edges="bottom"
   Sa3 Sb3 V1c3 Hd3
+
   visible="area(e1,a5,i5,i3,g1)"
  Sa4    V3c4
+
  contents="R d2 B d3 R 1:c3 B 2:b5 R 3:c4 B 4:c5 R 5:f3"
      H2b5 H4c5
+
  />
    </hex>
+
  
<hex> R5 C9
+
Now Red is connected by [[Tom's move]].
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
Sa2 Sb2 Sc2 Vd2
+
  Sa3 Sb3 Vc3 Hd3    V5f3
+
  Sa4    Vc4
+
        Hb5 Hc5
+
    </hex>
+
 
+
=== More Reductions ===
+
 
+
Let's study this position with template reductions:
+
 
+
<hex> R5 C9
+
Sa1 Sb1 Sc1 Sd1 Sh1 Si1
+
Sa2 Sb2 Sc2 Vd2 Si2
+
  Sa3 Sb3 Vc3 Hd3    Vf3 Pg3
+
  Sa4    Vc4    V1e4 Pf4 Pg4
+
        Hb5 Hc5    Pe5 Pf5 Pg5
+
    </hex>
+
 
+
<hex> R5 C9
+
Sa1 Sb1 Sc1 Sd1 Sh1 Si1
+
Sa2 Sb2 Sc2 Vd2    Si2
+
  Sa3 Sb3 Vc3 Hd3    Vf3
+
  Sa4    Vc4    V1e4
+
        Hb5 Hc5 Pd5 Pe5
+
    </hex>
+
 
+
=== First Attempt for Blue ===
+
 
+
<hex> R5 C9
+
Sa1 Sb1 Sc1 Sd1 Sh1 Si1
+
Sa2 Sb2 Sc2 Vd2      Si2       
+
  Sa3 Sb3 Vc3 Hd3    Vf3
+
  Sa4    Vc4 V2d4        V4g4
+
        Hb5 Hc5 H3d5 H1e5
+
    </hex>
+
=== Second Attempt for Blue ===
+
 
+
<hex> R5 C9
+
Sa1 Sb1 Sc1 Sd1              Sh1 Si1
+
Sa2 Sb2 Sc2 Vd2      V4g2        Si2
+
  Sa3 Sb3 Vc3 Hd3    Vf3
+
  Sa4    Vc4 V2d4 H1e4
+
        Hb5 Hc5 H3d5
+
    </hex>
+
Leading to [[edge template IV2b]]
+
  
 
[[category:edge templates]]
 
[[category:edge templates]]

Latest revision as of 23:32, 14 July 2021

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.