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| − | | + | Edge template V1b is a 5th row edge template with 1 stone. |
| − | == The template ==
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 9: |
Line 8: |
| | /> | | /> |
| | | | |
| − | (From the [https://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=669 Little Golem forum])
| + | The validity and minimality of this template has been checked by computer. The template was mentioned on 2016-05-19 by the user shalev in this [https://www.littlegolem.net/jsp/forum/topic2.jsp?forum=50&topic=669 Little Golem thread], but likely predates that post. |
| | + | |
| | | | |
| − | The validity and minimality of this template has been checked by computer.
| |
| | | | |
| | == Defense against intrusions == | | == Defense against intrusions == |
| | | | |
| − | Red has 3 main threats: | + | === Reduction === |
| | + | |
| | + | Red has 3 main threats. Using the [[ziggurat]]: |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 21: |
Line 22: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="R e2 R 1:d4 S d4 d3 e3 c4 S b5 c5 d5 a6 b6 c6 d6" | + | contents="R e2 E *:d4 S d4 d3 e3 c4 S b5 c5 d5 a6 b6 c6 d6" |
| | /> | | /> |
| | | | |
| − | using the [[ziggurat]],
| + | Using [[edge template III1b]]: |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 30: |
Line 31: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="R e2 R 1:d4 S d3 e3 c4 d4 e4 b5 c5 d5 e5 a6 b6 d6 e6" | + | contents="R e2 E *:d4 S d3 e3 c4 d4 e4 b5 c5 d5 e5 a6 b6 d6 e6" |
| | /> | | /> |
| | | | |
| − | using [[edge template III1b]] and | + | And using [[edge_template_IV1d]]: |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 39: |
Line 40: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="R e2 R 1:f3 S area(e3,c6,k6,k4,i2,f2)" | + | contents="R e2 E *:f3 S area(e3,c6,k6,k4,i2,f2)" |
| | /> | | /> |
| | | | |
| − | using [[edge_template_IV1d]].
| + | For a blocking attempt, Blue [[mustplay region|must play]] in the overlap: |
| − | | + | |
| − | For a blocking attempt, Blue must play in the overlap: | + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 53: |
Line 52: |
| | /> | | /> |
| | | | |
| − | === Defense against a === | + | === Intrusion at a === |
| − | | + | |
| − | Details yet to come...
| + | |
| − | | + | |
| − | === Defense against b ===
| + | |
| − | Red can start like this:
| + | |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="c3 area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="R e2 2:d4 4:d3 6:g3 B c3 1:d5 3:e3 5:c5"
| + | |
| − | />
| + | |
| − | | + | |
| − | Continuation:
| + | |
| − | | + | |
| − | <div class="toccolours mw-collapsible mw-collapsed">
| + | |
| − | Red has this threat,
| + | |
| | | | |
| | + | If Blue intrudes at a, Red can start by forcing a 3rd or 2nd row ladder like this |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="R e2 2:d4 4:d3 6:g3 8:f4 B c3 1:d5 3:e3 5:c5 S f2 g2 f3 e4 area(d6,f4,g4,g6)" | + | contents="R e2 B 1:e3 R 2:d3 B 3:c5 R 4:d4 B 5:d5" |
| | /> | | /> |
| − | | + | or like this: |
| − | so Blue must play in the shaded area.
| + | |
| − | | + | |
| − | | + | |
| − | | + | |
| − | | + | |
| − | ==== the top 3 of those cells ====
| + | |
| − | | + | |
| − | | + | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="R e2 2:d4 4:d3 6:g3 8:e4 B c3 1:d5 3:e3 5:c5 7:(f3 f2 g2) S d6 e5 e6" | + | contents="R e2 B 1:e3 R 2:d3 B 3:d4 R 4:c4 B 5:b6 R 6:c5 B 7:c6 R 8:d5 B 9:d6" |
| | /> | | /> |
| | | | |
| − | Now Blue must play in one of the 3 shaded cells. If Blue plays in the left 2 of those 3, then Red connects via [[Edge_template_IV2b|IV-2-b]]. Otherwise, Red connects via [[Tom's move]].
| + | Red's continuation will be discussed below. |
| | | | |
| − | <hexboard size="6x14"
| + | === Intrusion at b === |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="R e2 2:d4 4:d3 6:g3 8:e4 10:e5 12:f5 14:i4 B c3 1:d5 3:e3 5:c5 7:(f3 f2 g2) 9:e6 11:d6 13:f6"
| + | |
| − | />
| + | |
| − | | + | |
| − | | + | |
| − | | + | |
| − | ==== ... 5. e4 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 5. f4 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 5. g4 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 5. e5 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 5. f5 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 5. g5 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 5. d6 ====
| + | |
| | | | |
| | + | If Blue intrudes at b, Red can start by forcing a 3rd row ladder like this: |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E +:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:e4 R 2:f4 E *:a5 B c5 B d5 B 1:d6" | + | contents="R e2 B 1:d5 R 2:d4 B 3:e3 R 4:d3 B 5:c5" |
| | /> | | /> |
| | | | |
| − | The group with 2 is connected to the top in two non-overlapping ways (see area marked with +) and to the bottom with [[Edge_template_IV2b|IV-2-b]].
| + | Red's continuation will be discussed below. |
| − | | + | |
| − | ==== ... 5. e6 ====
| + | |
| | | | |
| − | Red can respond here:
| + | === Intrusion at c === |
| | | | |
| | + | If Blue intrudes at c, Red can start by forcing a 2nd row ladder like this: |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 E *:a5 B c5 B d5 R 2:f5 B 1:e6" | + | contents="R e2 B 1:d6 R 2:d4 B 3:e3 R 4:d3 B 5:c5 R 6:d5 B 7:c6" |
| | /> | | /> |
| | | | |
| − | Continuation:
| + | Red's continuation will be discussed below. |
| − | <div class="toccolours mw-collapsible mw-collapsed">
| + | |
| | | | |
| − | Now Red has two threats:
| + | === Continuation after 3rd row ladder === |
| | | | |
| − | <hexboard size="6x14"
| + | If Red achieved a 3rd row ladder after intrusions a or b as shown above, Red continues as follows. |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E +:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:e4 E +:f4 E +:g4 E *:a5 B c5 B d5 R 1:e5 R f5 E +:d6 B e6 E +:f6"
| + | |
| − | />
| + | |
| − | | + | |
| − | and
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 169: |
Line 103: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E +:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:e4 E +:f4 R 1:g4 E +:h4 E *:a5 B c5 B d5 E +:e5 R f5 E +:g5 E +:h5 B e6 E +:f6 E +:g6 E +:h6" | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3" |
| | /> | | /> |
| | | | |
| − | Blue has to play on the overlap:
| + | Now Red is connected by [[Tom's move for 3rd and 5th row parallel ladders]]. |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E +:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:e4 E +:f4 E +:g4 E *:a5 B c5 B d5 E +:e5 R f5 B e6 E +:f6"
| + | |
| − | />
| + | |
| | | | |
| | + | === Continuation after 2nd row ladder === |
| | | | |
| − | ''7. f2''
| + | If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows. |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 187: |
Line 116: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 B 1:f2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:e4 R 8:h4 E *:a5 B c5 B d5 R 4:e5 R f5 B 7:g5 R 6:h5 B 5:d6 B e6 B 3:f6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R 1:e5 B 2:e6 R 3:h4" |
| | /> | | /> |
| | | | |
| − | ''7. g2'' | + | Now Red connects in essentially the same way as [[Tom's move]]. |
| | | | |
| − | <hexboard size="6x14"
| + | Specifically, Red has these threats: |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 B 1:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 2:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 6:h4 E *:a5 B c5 B d5 R f5 B 5:g5 R 4:h5 B e6 B 3:f6"
| + | |
| − | />
| + | |
| − | | + | |
| − | | + | |
| − | ''7. f3''
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 206: |
Line 127: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 B 1:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:e4 R 6:i4 E *:a5 B c5 B d5 R 4:e5 R f5 B 5:d6 B e6 B 2:f6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R e5 B e6 R h4 R 1:f5 B 2:f6 R 3:g5 B 4:g6 R 5:i5 S area(f5,f6,i6,i4,h4)" |
| − | />
| + | |
| − | 6 is now connected to the left and to the bottom by [[Tom's move]].
| + | |
| − | | + | |
| − | ''7. e4''
| + | |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 2:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 B 1:e4 R 4:i4 E *:a5 B c5 B d5 R f5 B e6 B 3:f6"
| + | |
| − | />
| + | |
| − | 4 is again connected to the left and to the bottom by [[Tom's move]].
| + | |
| − | | + | |
| − | ''7. f4''
| + | |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:e4 B 1:f4 E *:a5 B c5 B d5 E +:e5 R f5 E +:d6 B e6 E +:f6"
| + | |
| | /> | | /> |
| | | | |
| − | Blue has to go on one of the 3 marked fields. However, d6 can't be any better than 35, so it's enough to look at e5 and g6. Let's have a look at g6 first:
| |
| − |
| |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R e4 B f4 R 4:i4 E *:a5 B c5 B d5 R 2:e5 R f5 B 3:d6 B e6 B 1:f6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R e5 B e6 R h4 R 1:f5 B 2:f6 R 3:h5 S area(f5,f6,h6,h4,g4)" |
| | /> | | /> |
| | | | |
| − | 4 is now connected to the bottom and to the left in a similar way as in [[Tom's move]]. (Just the piece on g3 is connected to the left in a slightly different way.)
| |
| − |
| |
| − | The other possible move was e5:
| |
| − |
| |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 R 2:h2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R e4 B f4 E *:a5 B c5 B d5 B 1:e5 R f5 B e6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R e5 B e6 R h4 R 1:g3 S area(f2,f3,g4,f6,i6,i4,g2)" |
| | /> | | /> |
| | | | |
| − | Red 2 is connected to the left by two non-overlapping ways and to the bottom by a 5th row template that has yet to be added to this wiki.
| + | The overlap in which Blue [[mustplay region|must play]] is: |
| − | | + | |
| − | ''7. g4''
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 257: |
Line 150: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:e4 B 1:g4 R 6:i4 E *:a5 B c5 B d5 R 4:e5 R f5 B 5:d6 B e6 B 3:f6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R e5 B e6 R h4 S area(f6,h6,h4)" |
| | /> | | /> |
| | | | |
| − | Once again 6 is now connected to the bottom and to the left in a similar way as in [[Tom's move]].
| + | Four of these five possible moves can be analysed together. In the following diagram, assume Blue has played 1 in any one of the cells marked with +: |
| − | | + | |
| − | ''7. e5''
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 268: |
Line 159: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 2:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 4:i4 E *:a5 B c5 B d5 B 1:e5 R f5 B e6 B 3:f6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R e5 B e6 R h4 R 2:g5 B 3:f5 R 4:g3 B 5:f4 R 6:f2 E +:h5 E +:f6 E +:g6 E +:h6" |
| | /> | | /> |
| | | | |
| − | And [[Tom's move]] at the end again.
| + | After Red 2, that group is safely connected to them bottom, now matter which of the pluses Blue chose before. |
| | | | |
| − | ''7. f6''
| + | That leaves only one Blue move to deal with: |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| Line 279: |
Line 170: |
| | edges="bottom" | | edges="bottom" |
| | visible="area(f1,a6,n6,n4,l2,h1)" | | visible="area(f1,a6,n6,n4,l2,h1)" |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:i4 E *:a5 B c5 B d5 R f5 B e6 B 1:f6" | + | contents="R e2 B e3 R d3 B d4 R c4 B b6 R c5 B c6 R d5 B d6 R e5 B e6 R h4 R 10:f3 R 8:g3 R 4:i3 B 9:f4 B 5:g4 R 2:f5 B 1:g5 B 3:f6 R 6:h2 B 7:g2" |
| | /> | | /> |
| − |
| |
| − | Red 2 is connected to the bottom and to at least one of the red pieces in the middle by [[Tom's move]]. Red now has three threats to connect both these pieces to the top:
| |
| | | | |
| − | <hexboard size="6x14"
| + | Note that Red 4 connects to the bottom with [[Edge_template_IV2b|IV-2-b]]. |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 R 1:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:f4 E +:g4 R i4 E *:a5 B c5 B d5 R f5 B e6 B f6"
| + | |
| − | />
| + | |
| − |
| + | |
| − | <hexboard size="6x14"
| + | |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E +:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:e4 R 1:f4 R i4 E *:a5 B c5 B d5 R f5 B e6 B f6"
| + | |
| − | />
| + | |
| − |
| + | |
| − | and
| + | |
| | | | |
| − | <hexboard size="6x14"
| + | == See also == |
| − | coords="hide"
| + | |
| − | edges="bottom"
| + | |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 1:e4 E +:f4 E +:g4 R i4 E *:a5 B c5 B d5 E +:e5 R f5 B e6 B f6"
| + | |
| − | />
| + | |
| − |
| + | |
| − | Blue has to play on the overlap:
| + | |
| | | | |
| − | <hexboard size="6x14"
| + | * [[Tom's move]] |
| − | coords="hide"
| + | * [[Tom's move for 3rd and 5th row parallel ladders]] |
| − | edges="bottom"
| + | * [[Fourth row edge templates]] |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| + | |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:f4 R i4 E *:a5 B c5 B d5 R f5 B e6 B f6"
| + | |
| − | />
| + | |
| | | | |
| − | First move:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 B 1:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:e4 B 3:f4 R i4 E *:a5 B c5 B d5 R 4:e5 R f5 R 6:g5 B 5:d6 B e6 B f6"
| |
| − | />
| |
| − |
| |
| − | Second move:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 2:f3 R g3 R 4:h3 E *:n3 E *:a4 E *:b4 R d4 B 1:f4 B 3:g4 R i4 E *:a5 B c5 B d5 R f5 B e6 B f6"
| |
| − | />
| |
| − | </div>
| |
| − | ==== ... 5. f6 ====
| |
| − |
| |
| − | Red can start like this:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 E *:a5 B c5 B d5 R 2:e5 B 1:f6"
| |
| − | />
| |
| − |
| |
| − | Red now has these threats:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:d3 E +:e3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 1:e4 E *:a5 B c5 B d5 R e5 E +:d6 E +:e6 B f6"
| |
| − | />
| |
| − |
| |
| − | and
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 R 1:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R g3 E *:n3 E *:a4 E *:b4 R d4 E +:f4 E +:g4 E +:h4 E *:a5 B c5 B d5 R e5 E +:f5 E +:g5 E +:h5 E +:d6 E +:e6 B f6 E +:g6 E +:h6"
| |
| − | />
| |
| − |
| |
| − | using [[Edge_template_IV2e|IV-2-e]].
| |
| − |
| |
| − | Blue has to play on the overlap:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 E *:a5 B c5 B d5 R e5 E +:d6 E +:e6 B f6"
| |
| − | />
| |
| − |
| |
| − | First move:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 R 4:f2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 B 3:e4 B 5:f4 R 6:g4 E *:a5 B c5 B d5 R e5 B 7:f5 B 8:h5 B 1:d6 R 2:e6 B f6"
| |
| − | />
| |
| − |
| |
| − | You get the the defense against the other move by just swapping 1 and 2 in the diagram above.
| |
| − |
| |
| − | ==== ... 5. g6 ====
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R g3 E *:n3 E *:a4 E *:b4 R d4 R 2:f4 R 6:h4 E *:a5 B c5 B d5 B 5:f5 B 7:g5 R 8:i5 B 3:e6 R 4:f6 B 1:g6"
| |
| − | />
| |
| − |
| |
| − | Note that 2 is safely connected to the top, so 3 is forced.
| |
| − |
| |
| − |
| |
| − | </div>
| |
| − |
| |
| − | === Defense against c ===
| |
| − |
| |
| − | Red has this line:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E *:n3 E *:a4 E *:b4 R 2:d4 R 8:h4 E *:a5 B 3:c5 R 4:d5 R 6:e5 B 5:c6 B 1:d6 B 7:e6"
| |
| − | />
| |
| − |
| |
| − | Blue 3, 5 and 7 are forced.
| |
| − |
| |
| − | Continuation:
| |
| − | <div class="toccolours mw-collapsible mw-collapsed">
| |
| − |
| |
| − | Red has these threats:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E *:n3 E *:a4 E *:b4 R d4 R h4 E +:i4 E *:a5 B c5 R d5 R e5 R 1:f5 R 3:g5 E +:h5 R 5:i5 B c6 B d6 B e6 B 2:f6 B 4:g6 E +:h6 E +:i6"
| |
| − | />
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E *:n3 E *:a4 E *:b4 R d4 E +:g4 R h4 E *:a5 B c5 R d5 R e5 R 1:f5 E +:g5 R 3:h5 B c6 B d6 B e6 B 2:f6 E +:g6 E +:h6"
| |
| − | />
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E +:f2 E +:g2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:f3 R 1:g3 E +:h3 E *:n3 E *:a4 E *:b4 R d4 E +:f4 E +:g4 R h4 E +:i4 E *:a5 B c5 R d5 R e5 E +:g5 E +:h5 E +:i5 B c6 B d6 B e6 E +:f6 E +:g6 E +:h6 E +:i6"
| |
| − | />
| |
| − |
| |
| − | The overlap in which Blue has to play is:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E *:n3 E *:a4 E *:b4 R d4 R h4 E *:a5 B c5 R d5 R e5 E +:g5 E +:h5 B c6 B d6 B e6 E +:f6 E +:g6 E +:h6"
| |
| − | />
| |
| − |
| |
| − | Four of these five possible moves can be analysed in one line. In the following diagram assume Blue has played 1 on any of the fields marked with +:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 R 6:f2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 4:g3 E *:n3 E *:a4 E *:b4 R d4 B 5:f4 R h4 E *:a5 B c5 R d5 R e5 B 3:f5 R 2:g5 E +:h5 B c6 B d6 B e6 E +:f6 E +:g6 E +:h6"
| |
| − | />
| |
| − |
| |
| − | After Red 2 that group is safely connected to them bottom, now matter which of the pluses Blue chose before.
| |
| − |
| |
| − | That leaves only one Blue move to deal with:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | edges="bottom"
| |
| − | visible="area(f1,a6,n6,n4,l2,h1)"
| |
| − | contents="E *:a1 E *:b1 E *:c1 E *:d1 R e1 E *:i1 E *:j1 E *:k1 E *:l1 E *:m1 E *:n1 E *:a2 E *:b2 E *:c2 E *:d2 R e2 B 7:g2 R 6:h2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 R 10:f3 R 8:g3 R 4:i3 E *:n3 E *:a4 E *:b4 R d4 B 9:f4 B 5:g4 R h4 E *:a5 B c5 R d5 R e5 R 2:f5 B 1:g5 B c6 B d6 B e6 B 3:f6"
| |
| − | />
| |
| − |
| |
| − | Note that Red 4 connects to the bottom with [[Edge_template_IV2b|IV-2-b]].
| |
| − | </div>
| |
| | [[category:edge templates]] | | [[category:edge templates]] |
The validity and minimality of this template has been checked by computer. The template was mentioned on 2016-05-19 by the user shalev in this Little Golem thread, but likely predates that post.
If Blue intrudes at a, Red can start by forcing a 3rd or 2nd row ladder like this
If Red achieved a 3rd row ladder after intrusions a or b as shown above, Red continues as follows.
If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows.
Four of these five possible moves can be analysed together. In the following diagram, assume Blue has played 1 in any one of the cells marked with +:
After Red 2, that group is safely connected to them bottom, now matter which of the pluses Blue chose before.
