Difference between revisions of "User:Bobson8"
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(7th row single stone template) |
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contents="R e4 R h4 R c7 R g7 R c8 R d8 R e8 R f8" | contents="R e4 R h4 R c7 R g7 R c8 R d8 R e8 R f8" | ||
/> | /> | ||
| + | |||
| + | The following template guarantees a stone on 7th row to connect to the edge. It was verified by me using HexProver developped by mirefek. This answers the single-stone 7th row edge template problem. Whether this template is minimal is not known. | ||
| + | |||
| + | <hexboard size="7x23" | ||
| + | coords="none" | ||
| + | edges="bottom" | ||
| + | visible="area(a7,w7,w5,u3,r3,p1,n1,j3,g3,c5)" | ||
| + | contents="R o1" | ||
| + | /> | ||
| + | |||
| + | To start with, one notice that Red can connect to the edge with a variant of [[edge template V1b]] from both sides. | ||
| + | |||
| + | <hexboard size="7x23" | ||
| + | coords="none" | ||
| + | edges="bottom" | ||
| + | visible="area(a7,w7,w5,u3,r3,p1,n1,j3,g3,c5)" | ||
| + | contents="R o1 1:n3 S blue:area(j7,w7,w5,u3,r3,p1,o1,n2,m4)" | ||
| + | /> | ||
| + | |||
| + | Thus Blue has these possible blocks (a~j, mirrored positions are removed). | ||
| + | |||
| + | <hexboard size="7x23" | ||
| + | coords="none" | ||
| + | edges="bottom" | ||
| + | visible="area(a7,w7,w5,u3,r3,p1,n1,j3,g3,c5)" | ||
| + | contents="R o1 E a:n2 b:n3 c:m4 d:l5 e:m5 f:k6 g:l6 h:j7 i:k7 j:l7 X:o2 Y:m2 Z:n4" | ||
| + | /> | ||
| + | |||
| + | For Blue playing a,b,c,d, Red can respond with X,Y,Y,Z respectively. For the rest Red can respond with b. | ||
Revision as of 10:22, 14 October 2023
The following template guarantees a stone on 7th row to connect to the edge. It was verified by me using HexProver developped by mirefek. This answers the single-stone 7th row edge template problem. Whether this template is minimal is not known.
To start with, one notice that Red can connect to the edge with a variant of edge template V1b from both sides.
Thus Blue has these possible blocks (a~j, mirrored positions are removed).
For Blue playing a,b,c,d, Red can respond with X,Y,Y,Z respectively. For the rest Red can respond with b.
