Difference between revisions of "Edge template V1b"
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(Fixed the continuations after 2nd row ladder.) |
(Handled more cases. Intrusions w and x need more work.) |
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<div class="toccolours mw-collapsible mw-collapsed"> | <div class="toccolours mw-collapsible mw-collapsed"> | ||
| − | Now Red | + | Now Red has two main threats. Via a [[ziggurat]]: |
<hexboard size="6x14" | <hexboard size="6x14" | ||
| Line 119: | Line 119: | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 E *:f4 S f2 g2 f3 e4 area(d6,f4,g4,g6)" | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 E *:f4 S f2 g2 f3 e4 area(d6,f4,g4,g6)" | ||
| + | /> | ||
| + | And via [[edge template IV2b]]: | ||
| + | <hexboard size="6x14" | ||
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 E *:f4 S f2 g2 f3 e4 area(e6,i6,i4,h3,f4)" | ||
/> | /> | ||
| − | + | Blue must play in the overlap: | |
| + | <hexboard size="6x14" | ||
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 S f2 g2 f3 e4 area(e6,f4,g4,g6) | ||
| + | E p:f2 q:g2 r:f3 s:e4 t:f4 u:g4 v:f5 w:g5 x:e6 y:f6 z:g6" | ||
| + | /> | ||
| − | ==== | + | ==== Intrusion at p, q, r ==== |
| − | + | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
| Line 131: | Line 144: | ||
edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| − | contents="R e2 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:(f3 f2 g2) R 3:e4 S d6 e5 e6" |
/> | /> | ||
| − | Now Blue must play in one of the 3 shaded cells. | + | 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]]. |
<hexboard size="6x14" | <hexboard size="6x14" | ||
| Line 140: | Line 153: | ||
edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| − | contents="R e2 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:(f3 f2 g2) R 3:e4 5:e5 7:f5 9:i4 B 2:(f3 f2 g2) 4:e6 6:d6 8:f6" |
/> | /> | ||
| + | ==== Intrusion at s ==== | ||
| + | <hexboard size="6x14" | ||
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:e4 R 3:f2" | ||
| + | /> | ||
| − | + | Red is connected by [[edge template IV1d]]. | |
| − | + | ==== Intrusion at t ==== | |
| − | ==== | + | <hexboard size="6x14" |
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:f4 R 3:e4 B 4:e5 R 5:h2" | ||
| + | /> | ||
| − | + | Now Red is connected by [[Fifth_row_edge_templates#V-2-m|edge template V2m]]. If Blue plays 4 on the first row instead, Red connects by [[Tom's move]]: | |
| + | <hexboard size="6x14" | ||
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:f4 R 3:e4 B 4:e6 R 5:e5 B 6:d6 R 7:f5 B 8:f6 R 9:i4" | ||
| + | /> | ||
| − | ==== | + | ==== Intrusion at u ==== |
| − | + | <hexboard size="6x14" | |
| + | coords="hide" | ||
| + | edges="bottom" | ||
| + | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:g4 R 3:f4 B 4:e6 R 5:f5 B 6:f6 R 7:i4" | ||
| + | /> | ||
| + | Red is connected by [[Tom's move]]. | ||
| − | ==== | + | ==== Intrusion at v ==== |
| − | + | ||
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<hexboard size="6x14" | <hexboard size="6x14" | ||
| Line 175: | Line 200: | ||
edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| − | contents=" | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:f5 R 3:f4 E *:e5 *:h4" |
/> | /> | ||
| + | Red is connected by [[double threat]]. | ||
| + | |||
| + | ==== Intrusion at w ==== | ||
| − | + | To do. | |
| − | ==== | + | ==== Intrusion at x ==== |
Red can respond here: | Red can respond here: | ||
| Line 188: | Line 216: | ||
edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| − | contents=" | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 R 3:f5 B 2:e6" |
/> | /> | ||
| Line 376: | Line 404: | ||
</div> | </div> | ||
| − | ==== | + | ==== Intrusion at y ==== |
| − | + | ||
| − | + | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
| Line 384: | Line 410: | ||
edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| − | contents=" | + | contents="R e2 B e3 R d3 R 1:g3 R d4 B c5 B d5 B 2:f6 R 3:e5 E *:d6 *:e6 B 4:e4 R 5:f2" |
/> | /> | ||
| − | + | Note that the hexes marked "*" are [[captured cell|captured]] by Red 3, so Blue 4 is forced. Then Red is connected by [[edge template IV2e]]. | |
| − | Red | + | |
| − | + | ==== Intrusion at z ==== | |
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<hexboard size="6x14" | <hexboard size="6x14" | ||
| Line 413: | Line 420: | ||
edges="bottom" | edges="bottom" | ||
visible="area(f1,a6,n6,n4,l2,h1)" | visible="area(f1,a6,n6,n4,l2,h1)" | ||
| − | contents=" | + | contents="R e2 B e3 R d3 R 1:g3 R d4 B c5 B d5 B 2:g6 R 3:e5 E *:d6 *:e6 B 4:e4 R 5:f2" |
/> | /> | ||
| − | + | Note that the hexes marked "*" are [[captured cell|captured]] by Red 3, so Blue 4 is forced. Then Red is connected by [[Fourth_row_edge_templates#IV-2-q|edge template IV2p]]. | |
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</div> | </div> | ||
Revision as of 23:46, 24 July 2022
Edge template V1b is a 5th row edge template with 1 stone.
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.
Contents
[hide]Defense against intrusions
Reduction
Red has 3 main threats. Using the ziggurat:
Using edge template III1b:
And using edge_template_IV1d:
For a blocking attempt, Blue must play in the overlap:
Intrusion at a
If Blue intrudes at a, Red can start by forcing a 3rd or 2nd row ladder like this
or like this:
Red's continuation will be discussed below.
Intrusion at b
If Blue intrudes at b, Red can start by forcing a 3rd row ladder like this:
Red's continuation will be discussed below.
Intrusion at c
If Blue intrudes at c, Red can start by forcing a 2nd row ladder like this:
Red's continuation will be discussed below.
Continuation after 3rd row ladder
If Red achieved a 3rd row ladder after intrusions a or b as shown above, Red continues as follows.
Now Red is connected by Tom's move for 3rd and 5th row parallel ladders.
Continuation:
[Expand]
Continuation after 2nd row ladder
If Red achieved a 2nd row ladder after intrusions a or c above, Red continues as follows.
Now Red connects in essentially the same way as Tom's move.
Continuation:
[Expand]
