Difference between revisions of "Fourth row edge templates"

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== Fourth row edge templates with one stone ==
 
== Fourth row edge templates with one stone ==
  
=== [[Defending_against_intrusions_in_template_1-IVa|IV-1-a]] ===
+
=== [[Edge template IV1a|IV-1-a]] ===
  
 
<hexboard size="4x7"
 
<hexboard size="4x7"
 
   coords="hide"
 
   coords="hide"
   contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:g1 E *:a2 E *:b2 E *:a3"
+
  edges="bottom"
 +
  visible="area(e1,c2,a4,g4,g2,f1)"
 +
   contents="R e1"
 
   />
 
   />
  
=== [[Defending_against_intrusions_in_template_IVb|IV-1-b]] ===
+
=== [[Edge template IV1b|IV-1-b]] ===
  
 
<hexboard size="4x8"
 
<hexboard size="4x8"
 
   coords="hide"
 
   coords="hide"
   contents="E *:a1 E *:b1 E *:c1 E *:d1 R f1 E *:h1 E *:a2 E *:b2 E *:a3 E *:e3"
+
  edges="bottom"
 +
  visible="area(e1,c2,a4,h4,h2,g1)"
 +
   contents="R f1 S e3"
 
   />
 
   />
 +
The shaded cell is not part of the template; it can be occupied by Blue.
  
 
=== [[Edge_template_IV1c|IV-1-c]] ===
 
=== [[Edge_template_IV1c|IV-1-c]] ===
Line 19: Line 24:
 
<hexboard size="5x11"
 
<hexboard size="5x11"
 
   coords="hide"
 
   coords="hide"
   contents="E *:a1 E *:b1 E *:c1 E *:d1 E *:e1 E *:f1 E *:j1 E *:k1 E *:a2 E *:b2 E *:c2 E *:d2 R f2 E *:k2 E *:a3 E *:b3 E *:a4 E *:c5"
+
  edges="bottom"
 +
  visible="area(g1,c3,a5,k5,k3,i1)"
 +
   contents="R f2 S c5"
 
   />
 
   />
  
 
=== [[Edge_template_IV1d|IV-1-d]] ===
 
=== [[Edge_template_IV1d|IV-1-d]] ===
  
<hex> R5 C9
+
<hexboard size="5x11"
Sa1 Sb1 Sc1 Sd1 Sh1 Si1 Si2
+
  coords="hide"
Sa2 Sb2 Sc2 Vd2
+
  edges="bottom"
  Sa3 Sb3
+
  visible="area(g1,c5,k5,k3,i1)"
   Sa4
+
   contents="R f2"
    </hex>
+
  />
  
 
== Fourth row edge templates with two stones ==
 
== Fourth row edge templates with two stones ==
Line 35: Line 42:
 
=== [[Edge_template_IV2a|IV-2-a]] ===
 
=== [[Edge_template_IV2a|IV-2-a]] ===
  
<hex>R4 C4 Vc1 Vd1 Sa1 Sa2 Sa3 Sb1 </hex>
+
<hexboard size="4x4"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(c1,b2,a4,d4,d1)"
 +
  contents="R c1 d1"
 +
  />
  
 
=== [[Edge_template_IV2b|IV-2-b]] ===
 
=== [[Edge_template_IV2b|IV-2-b]] ===
  
<hex> R4 C5
+
<hexboard size="4x5"
Sa1 Sb1 Vc1   Se1
+
   coords="hide"
Sa2 Vb2
+
  edges="bottom"
   Sa3 </hex>
+
  visible="area(c1,b2,a4,e4,e2,d1)"
 +
  contents="R c1 b2"
 +
   />
 +
 
  
 
=== [[Edge_template_IV2c|IV-2-c]] ===
 
=== [[Edge_template_IV2c|IV-2-c]] ===
  
 
<hexboard size="4x7"
 
<hexboard size="4x7"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 R f1 E *:g1 E *:a2 E *:b2 E *:e2 E *:a3"
+
  edges="bottom"
  />
+
  visible="area(e1,c2,a4,g4,g2,f1)"
 +
  contents="R e1 f1 S e2"
 +
  />
  
 
=== [[Edge_template_IV2d|IV-2-d]] ===
 
=== [[Edge_template_IV2d|IV-2-d]] ===
  
 
<hexboard size="4x4"
 
<hexboard size="4x4"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R d1 E *:a2 E *:b2 E *:a3 R b3"
+
  edges="bottom"
  />
+
  visible="area(d1,a4,d4)"
 +
  contents="R d1 b3"
 +
  />
  
 
=== [[Edge_template_IV2e|IV-2-e]] ===
 
=== [[Edge_template_IV2e|IV-2-e]] ===
  
 
<hexboard size="4x5"
 
<hexboard size="4x5"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R d1 E *:e1 E *:a2 E *:b2 E *:a3 R b3 E *:c4"
+
  edges="bottom"
  />
+
  visible="area(d1,a4,e4,e2)"
 +
  contents="R d1 b3 S c4"
 +
  />
  
 
=== [[Edge_template_IV2f|IV-2-f]] ===
 
=== [[Edge_template_IV2f|IV-2-f]] ===
  
 
<hexboard size="4x5"
 
<hexboard size="4x5"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R e1 E *:a2 E *:b2 E *:a3 R a4"
+
  edges="bottom"
  />
+
  visible="area(d1,a4,e4,e1)"
 +
  contents="R a4 e1"
 +
  />
  
 
=== [[Edge_template_IV2g|IV-2-g]] ===
 
=== [[Edge_template_IV2g|IV-2-g]] ===
  
 
<hexboard size="4x5"
 
<hexboard size="4x5"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R e1 E *:a2 E *:b2 E *:a3 E *:a4 R b4"
+
  edges="bottom"
  />
+
  visible="area(d1,b3,b4,e4,e1)"
 +
  contents="R b4 e1"
 +
  />
  
 
=== [[Edge_template_IV2h|IV-2-h]] ===
 
=== [[Edge_template_IV2h|IV-2-h]] ===
  
 
<hexboard size="4x5"
 
<hexboard size="4x5"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R e1 E *:a2 E *:b2 E *:a3 R c4"
+
  edges="bottom"
  />
+
  visible="area(d1,a4,e4,e1)"
 +
  contents="R e1 c4"
 +
  />
  
 
=== [[Edge_template_IV2i|IV-2-i]] ===
 
=== [[Edge_template_IV2i|IV-2-i]] ===
  
 
<hexboard size="4x5"
 
<hexboard size="4x5"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R e1 E *:a2 E *:b2 R c2 E *:a3 E *:e3 E *:e4"
+
  edges="bottom"
  />
+
  visible="area(d1,a4,d4,e2,e1)"
 +
  contents="R c2 e1"
 +
  />
  
 
=== [[Edge_template_IV2j|IV-2-j]] ===
 
=== [[Edge_template_IV2j|IV-2-j]] ===
  
<hexboard size="4x5"
+
<hexboard size="4x4"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R e1 E *:a2 E *:b2 R c2 E *:a3 E *:a4"
+
  edges="bottom"
  />
+
  visible="-(a1 a2 a3 b1)"
 +
  contents="R b2 d1"
 +
  />
  
 
=== [[Edge_template_IV2k|IV-2-k]] ===
 
=== [[Edge_template_IV2k|IV-2-k]] ===
  
 
<hexboard size="4x6"
 
<hexboard size="4x6"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 E *:d1 E *:e1 R f1 E *:a2 E *:b2 R d2 E *:a3"
+
  edges="bottom"
  />
+
  visible="area(c2,a4,f4,f1)"
 +
  contents="R d2 f1"
 +
  />
  
 
=== [[Edge_template_IV2l|IV-2-l]] ===
 
=== [[Edge_template_IV2l|IV-2-l]] ===
  
 
<hexboard size="4x6"
 
<hexboard size="4x6"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 E *:c1 R d1 R f1 E *:a2 E *:b2 E *:a3"
+
  edges="bottom"
  />
+
  visible="area(d1,a4,f4,f1)"
 +
  contents="R d1 f1"
 +
  />
  
Red can choose which of the two stones to connect to the bottom.
+
Red can connect both red stones to the bottom (i.e., Red does not have to choose which stone to connect).
 +
 
 +
=== [[Edge_template_IV2m|IV-2-m]] ===
 +
 
 +
<hexboard size="4x7"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(d1,a4,f4,g2,g1)"
 +
  contents="R g1 arrow(12):d1"
 +
  />
 +
 
 +
Red can connect the stone marked "↑" to the bottom. There are infinitely many related templates, with the two red stones arbitrarily far apart. See [[edge template IV2m]] for more details.
 +
 
 +
=== [[Edge_template_IV2n|IV-2-n]] ===
 +
 
 +
<hexboard size="4x8"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(d1,a4,h4,h1)"
 +
  contents="R d1 h1"
 +
  />
 +
 
 +
Red can connect both red stones to the bottom (i.e., Red does not have to choose which stone to connect).
 +
 
 +
=== IV-2-o ===
 +
 
 +
<hexboard size="4x6"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a4,f4,f2,e1,d1)"
 +
  contents="R d1 a4"
 +
  />
 +
 
 +
=== IV-2-p ===
 +
 
 +
<hexboard size="4x6"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(a4,f4,f2,e1,d1)"
 +
  contents="R d1 b3 S d4"
 +
  />
 +
 
 +
=== IV-2-q ===
 +
 
 +
<hexboard size="4x7"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(c1,b2,a4,g4,g2,f1)"
 +
  contents="R c1 e1"
 +
  />
 +
 
 +
Red can connect both stones to the bottom (i.e., Red does not have to choose which stone to connect).
  
 
== Fourth row edge templates with three stones ==
 
== Fourth row edge templates with three stones ==
Line 121: Line 207:
  
 
<hexboard size="4x5"
 
<hexboard size="4x5"
  coords="hide"
+
  coords="hide"
  contents="E *:a1 E *:b1 R c1 R d1 R e1 E *:a2 E *:a3 E *:e3 E *:d4 E *:e4"
+
  edges="bottom"
  />
+
  visible="area(c1,b2,a4,c4,e2,e1)"
 +
  contents="R c1 d1 e1"
 +
  />
  
If the middle red piece is removed, the template stays valid, as long as the two remaining stones are connected in some other way.
+
If the middle red piece is removed, the template stays valid, as long as the two remaining stones are connected to each other in some other way.
 +
 
 +
=== [[Edge_template_IV3b|IV-3-b]] ===
 +
 
 +
<hexboard size="4x5"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="-(a1 a2 a3 b1)"
 +
  contents="R c1 d1 e1 S d2"
 +
  />
 +
 
 +
If the middle red piece is removed, the template stays valid, as long as the two remaining stones are connected to each others in some other way.
 +
 
 +
=== [[Edge_template_IV3c|IV-3-c]] ===
 +
 
 +
<hexboard size="4x6"
 +
  coords="hide"
 +
  edges="bottom"
 +
  visible="area(f1,b3,a4,f4)"
 +
  contents="R b3 d2 f1"
 +
  />
  
 
[[Category: Edge templates]]
 
[[Category: Edge templates]]

Revision as of 01:43, 22 September 2021

Fourth row edge templates with one stone

IV-1-a

IV-1-b

The shaded cell is not part of the template; it can be occupied by Blue.

IV-1-c

IV-1-d

Fourth row edge templates with two stones

IV-2-a

IV-2-b


IV-2-c

IV-2-d

IV-2-e

IV-2-f

IV-2-g

IV-2-h

IV-2-i

IV-2-j

IV-2-k

IV-2-l

Red can connect both red stones to the bottom (i.e., Red does not have to choose which stone to connect).

IV-2-m

Red can connect the stone marked "↑" to the bottom. There are infinitely many related templates, with the two red stones arbitrarily far apart. See edge template IV2m for more details.

IV-2-n

Red can connect both red stones to the bottom (i.e., Red does not have to choose which stone to connect).

IV-2-o

IV-2-p

IV-2-q

Red can connect both stones to the bottom (i.e., Red does not have to choose which stone to connect).

Fourth row edge templates with three stones

IV-3-a

If the middle red piece is removed, the template stays valid, as long as the two remaining stones are connected to each other in some other way.

IV-3-b

If the middle red piece is removed, the template stays valid, as long as the two remaining stones are connected to each others in some other way.

IV-3-c