Difference between revisions of "Edge template V1b"
(→Intrusion at w: did part of case w) |
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edges="bottom" | edges="bottom" | ||
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 B 2:g5 R 3:i4" | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 B 2:g5 R 3:i4 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | Continuation: | |
+ | <div class="toccolours mw-collapsible mw-collapsed"> | ||
+ | |||
+ | We will assume that Red simply defends the pink [[ziggurat]], and therefore we will not need to consider any Blue intrusions there. | ||
+ | |||
+ | Red's main threats are | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:e4 B 2:g5 S d6 e6 e5 e4 f4 f3 h3 h4 i3 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | and | |
− | + | ||
− | + | ||
− | + | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:f2 B 2:g5 S f2 g2 e6 f6 f5 f4 g4 f3 h3 h4 i3 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | Blue [[mustplay region|must play]] in the overlap: | |
− | + | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 B 2:g5 S e6 f4 f3 h3 h4 i3 E c:e6 b:f4 a:f3 d:h3 f:h4 e:i3 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | If Blue plays at a, then Red plays 5, after which Red connects via | |
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:e4 7:f4 B 2:g5 4:f3 6:e5 6:d6 E *:f5 *:h3 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | or | |
− | + | ||
− | + | ||
− | + | ||
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:e4 7:e5 9:f5 11:h3 B 2:g5 4:f3 6:e6 8:d6 10:f6 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | If Blue plays at c, then Red responds with | |
− | + | ||
− | + | ||
− | If Blue plays | + | |
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:h3 B 2:g5 4:e6 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | This forces Blue to defend towards the top, after which | |
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:h3 7:e4 B 2:g5 4:e6 6:(f2 f3 g2) S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | connects directly or via | + | connects directly or via red 1. |
<hexboard size="6x14" | <hexboard size="6x14" | ||
coords="hide" | coords="hide" | ||
edges="bottom" | edges="bottom" | ||
− | visible="area( | + | visible="area(f1,a6,n6,n4,l2,h1)" |
− | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 | + | contents="R e2 d4 d3 B c3 d5 e3 c5 R 1:g3 3:i4 5:h3 7:e4 9:e5 11:f5 B 2:g5 4:e6 6:(f2 f3 g2) 8:f4 10:d6 S red:area(i4,g6,j6,j4)" |
/> | /> | ||
− | + | If Blue plays at b, then Red | |
− | If Blue plays | + | |
<b>to be completed</b> | <b>to be completed</b> |
Revision as of 21:32, 25 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:
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: