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| − | | + | Edge template V1b is a 5th row edge template with 1 stone. |
| − | == The template ==
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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 E *:a5" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2" |
| | /> | | /> |
| | | | |
| − | (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. |
| | | | |
| − | Even though the diagram shows two pieces and one of them on the sixth row, it makes sense to say this is a fifth row template with one stone, as the stone on the sixth row plays no role whatsoever in connecting to the bottom. It could be removed and the stone on the fifth row will still be connected to the bottom. It is only shown so there is a possibility to connect to the top too, as without that it would not be of much use in a practical sense.
| |
| | | | |
| − | (Note: As I am writing this I have only seen the claim of this being a valid template on the little golem thread. I have not checked it yet and also not if it is minimal. However, as this came from a very competent player I have no reson to doubt it.)
| |
| | | | |
| | == Defense against intrusions == | | == Defense against intrusions == |
| | | | |
| − | Red has 3 main threads: | + | === Reduction === |
| | + | |
| | + | Red has 3 main threats. Using the [[ziggurat]]: |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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 E *:n3 E *:a4 E *:b4 E +:c4 R 1:d4 E *:a5 E +:b5 E +:c5 E +:d5 E +:a6 E +:b6 E +:c6 E +:d6" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| | coords="hide" | | coords="hide" |
| − | 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 E *:n3 E *:a4 E *:b4 E +:c4 R 1:d4 E +:e4 E *:a5 E +:b5 E +:c5 E +:d5 E +:e5 E +:a6 E +:b6 E +:d6 E +:e6" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 E *:d4 S d3 e3 c4 d4 e4 b5 c5 d5 e5 a6 b6 d6 e6" |
| | /> | | /> |
| | | | |
| − | using [[Defending_against_intrusions_in_template_1-IIIb|III-1-b]] and | + | And using [[edge_template_IV1d]]: |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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 +:h2 E +:i2 E *:m2 E *:n2 E *:a3 E *:b3 E *:c3 E +:e3 R 1:f3 E +:g3 E +:h3 E +:i3 E +:j3 E *:n3 E *:a4 E *:b4 E +:e4 E +:f4 E +:g4 E +:h4 E +:i4 E +:j4 E +:k4 E *:a5 E +:d5 E +:e5 E +:f5 E +:g5 E +:h5 E +:i5 E +:j5 E +:k5 E +:c6 E +:d6 E +:e6 E +:f6 E +:g6 E +:h6 E +:i6 E +:j6 E +:k6" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 E *:f3 S area(e3,c6,k6,k4,i2,f2)" |
| | /> | | /> |
| | | | |
| − | using [[Edge_template_IV1d|IV-1-d]].
| + | For a blocking attempt, Blue [[mustplay region|must play]] in the overlap: |
| − | | + | |
| − | For a blocking attempt, Blue has to play on the overlap: | + | |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | 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 +:e3 E *:n3 E *:a4 E *:b4 E *:a5 E +:d5 E +:d6"
| + | |
| − | />
| + | |
| − | | + | |
| − | === Defense against 1. e3 ===
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | === Defense against 1. d5 ===
| + | |
| − | Red can start like this:
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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 4:g3 E *:n3 E *:a4 E *:b4 R 2:d4 E *:a5 B 3:c5 B 1:d5" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 E a:e3 E b:d5 E c:d6 S e3 d5 d6" |
| | /> | | /> |
| | | | |
| − | Continuation:
| + | === Intrusion at a === |
| − | | + | |
| − | <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" |
| − | 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 E *:a5 B c5 B d5 R 3:e5 E +:f5 R 5:g5 B 4:d6 B 2:e6 E +:f6 E +:g6" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 B 1:e3 R 2:d3 B 3:c5 R 4:d4 B 5:d5" |
| | /> | | /> |
| − | | + | or like this: |
| − | So all these fields need to be considered:
| + | |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | 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 +:e4 E +:f4 E +:g4 E *:a5 B c5 B d5 E +:e5 E +:f5 E +:g5 E +:d6 E +:e6 E +:f6 E +:g6"
| + | |
| − | />
| + | |
| − | | + | |
| − | ==== ... 5. f3 ====
| + | |
| − | | + | |
| − | Yet to come ...
| + | |
| − | | + | |
| − | ==== ... 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 ====
| + | |
| − | | + | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| | /> | | /> |
| | | | |
| − | 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 ==== | + | === Intrusion at b === |
| − | | + | |
| − | Red can respond here:
| + | |
| | | | |
| | + | 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" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 B 1:d5 R 2:d4 B 3:e3 R 4:d3 B 5:c5" |
| | /> | | /> |
| | | | |
| − | Continuation:
| + | Red's continuation will be discussed below. |
| − | <div class="toccolours mw-collapsible mw-collapsed">
| + | |
| | | | |
| − | Now Red has two threats:
| + | === 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" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 B 1:d6 R 2:d4 B 3:e3 R 4:d3 B 5:c5 R 6:d5 B 7:c6" |
| | /> | | /> |
| | | | |
| − | and
| + | Red's continuation will be discussed below. |
| | | | |
| − | <hexboard size="6x14"
| + | === Continuation after 3rd row ladder === |
| − | coords="hide"
| + | |
| − | 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"
| + | |
| − | />
| + | |
| | | | |
| − | Blue has to play on the overlap:
| + | If Red achieved a 3rd row ladder after intrusions a or b as shown above, Red continues as follows. |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | 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"
| + | |
| − | />
| + | |
| − | | + | |
| − | | + | |
| − | ''7. f2''
| + | |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3" |
| | /> | | /> |
| | | | |
| − | ''7. g2'' | + | Now Red is connected by [[Tom's move for 3rd and 5th row parallel ladders]]. |
| − | | + | |
| − | <hexboard size="6x14"
| + | |
| − | coords="hide"
| + | |
| − | 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"
| + | |
| − | />
| + | |
| | | | |
| | + | === Continuation after 2nd row ladder === |
| | | | |
| − | ''7. f3''
| + | If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows. |
| | | | |
| | <hexboard size="6x14" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| | /> | | /> |
| − | 6 is now connected to the left and to the bottom by [[Tom's move]].
| |
| | | | |
| − | ''7. e4'' | + | Now Red connects in essentially the same way as [[Tom's move]]. |
| | | | |
| − | <hexboard size="6x14"
| + | Specifically, Red has these threats: |
| − | coords="hide"
| + | |
| − | 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" | | <hexboard size="6x14" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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)" |
| | /> | | /> |
| | | | |
| − | 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" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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" |
| | coords="hide" | | coords="hide" |
| − | 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" | + | edges="bottom" |
| | + | visible="area(f1,a6,n6,n4,l2,h1)" |
| | + | 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"
| + | |
| − | 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"
| + | |
| − | 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"
| + | |
| − | 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]] |
| − | 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"
| + | * [[Fourth row edge templates]] |
| − | />
| + | |
| | | | |
| − | First move:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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 1. d6 ===
| |
| − |
| |
| − | Red has this line:
| |
| − |
| |
| − | <hexboard size="6x14"
| |
| − | coords="hide"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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"
| |
| − | 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.
