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| − | <hex>R5 C10 Q0
| + | #REDIRECT [[Edge template V1a]] |
| − | 1:SSSSS_R_SS 2:SSSS_____S 3:SS 4:S</hex>
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| − | | + | |
| − | == Red's threats ==
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| − | === Reduction to [[defending against intrusions in template 1-IIIb|template III-1-b]]===
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| − | <hex>R5 C10 Q0
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_PP__S
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| − | 3:SS__PRP__
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| − | 4:S__PPPP
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| − | 5:__PP_PP</hex>
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| − | === Reduction to [[template IVa]]===
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| − | <hex>R5 C10 Q0
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| − | 1:SSSSS_R_SS
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| − | 2:SSSSPR___S
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| − | 3:SSPPPPP
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| − | 4:SPPPPPP
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| − | 5:PPPPPPP</hex>
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| − | | + | |
| − | <hex>R5 C10 Q0
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| − | 1:SSSSS_RPSS
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| − | 2:SSSS__PRPS
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| − | 3:SS___PPPPP
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| − | 4:S___PPPPPP
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| − | 5:___PPPPPPP</hex>
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| − | === Reduction to [[template IVb]]===
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| − | <hex>R5 C10 Q0
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| − | 1:SSSSS_R_SS
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| − | 2:SSSSPRP__S
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| − | 3:SSPPPPPP
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| − | 4:SPPP_PPP
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| − | 5:PPPPPPPP</hex>
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| − | | + | |
| − | <hex>R5 C10 Q0
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_PRP_S
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| − | 3:SS_PPPPPP
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| − | 4:S_PPP_PPP
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| − | 5:_PPPPPPPP</hex>
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| − | == Blue's choice==
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| − | There are only 3 ways for blue not to fall into one of the previous reduction, we can see it if we consider the intersection of every relevant move in previous diagrams.
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| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | +f3 +d5 +f5</hex>
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| − | If Blue intrudes in the template at any hex besides the three marked '+', Red makes a move that reduces the situation to a closer template.
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| − | === Solution to the intrusion at f3 ===
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| − | The key move is the response d4. Yielding
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| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MH Mf3 Md4 +e2</hex>
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| − | Red is threatening to play at the marked hex which would complete the connection of the g1 piece to the bottom. Blue must block by a playing at some hex between Red's two pieces. Red then plays h2 forcing Blue to block at h3 yielding
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| − | | + | |
| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MH Mf3 Md4 Me2 Mh2 Mh3</hex>
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| − | | + | |
| − | Red has forced the most common pre-ladder formation. Red can get a second row ladder by squeezing through at g3 (Blue blocks at f5). Red's initial key d4 piece acts as a ladder escape which completes the connection. The final position is
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| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MH Mf3 Md4 Me2 Mh2 Mh3 Mg3 Mf5 Mf4 Me5 Me4</hex>
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| − | === Solution to the intrusion at d5 ===
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| − | Red's best response is to two-chain to h2. To stop the threatened immediate connection, Blue must block at h3 or play the forcing move g2 in the two-chain. The first play is defeated by the forcing sequence f4, g2, f2, f3, e3 yielding
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| − | | + | |
| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MB Md5 Mh2 Mh3 Mf4 Mg2 Mf2 Mf3 Me3</hex>
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| − | Red is now threatening to connect to the bottom in two non-overlapping ways, by playing e4 or by two-chaining to c4. Blue cannot stop both threats with a single move. The other play, g2 (after Red's h2) is defeated by the forcing sequence h1, h3, f4, g3, f2, f3, e3 yielding
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| − | | + | |
| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MB Md5 Mh2 Mg2 Mh1 Mh3 Mf4 Mg3 Mf2 Mf3 Me3</hex>
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| − | Red is again threatening to connect to the bottom in the same two non-overlapping ways: by playing at e4 or two-chaining to c4. Blue cannot stop both threats with a single move.
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| − | === Solution to the intrusion at f5 ===
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| − | Red's best response is play e4 which is connected to the bottom and forms a loose connection with the g1 piece. To stop the immediate connection, Blue must play in the middle of the loose connection at one of the hexes marked "+" in the following diagram.
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| − | | + | |
| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MB Mf5 Me4 Pf2 Pf3</hex>
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| − | The move f2 is defeated by the forcing sequence g2, f3, g3 yielding
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| − | | + | |
| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MB Mf5 Me4 Mf2 Mg2 Mf3 Mg3</hex>
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| − | | + | |
| − | Red is threatening to connect to the bottom in two non-overlapping ways: by playing at f4 or two-chaining to h4. The alternative response, f3, is defeated by the forcing sequence e2, d5, e5, e3, d3 yielding
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| − | <hex>R5 C10 Q1
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| − | 1:SSSSS_R_SS
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| − | 2:SSSS_____S
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| − | 3:SS
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| − | 4:S
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| − | MB Mf5 Me4 Mf3 Me2 Md5 Me5 Me3 Md3</hex>
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| − | | + | |
| − | Red is threatening to connect to the bottom in two non-overlapping ways, by playing at d4 or c4.
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| − | Note that template Va occurs in a mirror-image form (in the mirror image form, the three hexes on the 5th row (from the bottom) are shifted over 1 hex to the G, H, and I columns). It may seem that this template is very strong because it reaches 5 rows into the board but it rarely occurs because of the huge size of the template; the template requires 31 empty hexes and 10 hexes along an edge — the entire edge on the 10x10 board!
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| − | Furthermore, the large perimeter makes it more vulnerable to encroaching adjacent plays and forcing moves. Additionally, template area surrounds the 5th row piece on both "shoulders" so that non-overlapping plays from the 5th row piece can occur in only two directions.
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| − | [[category:edge templates]]
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