Template VI1/Intrusion on the 3rd row - Revision history

Bobson8: wording

2024-05-17T05:02:34Z

wording

Selinger: No longer a stub.

2024-05-09T02:31:34Z

No longer a stub.

Bobson8 at 04:40, 20 September 2023

2023-09-20T04:40:41Z

Bobson8: The last case simplified

2023-09-20T04:06:28Z

The last case simplified

Bobson8: Trying to complete the proof. The last case should be simplified.

2023-09-19T15:49:18Z

Trying to complete the proof. The last case should be simplified.

Selinger: Updated a link.

2021-06-20T21:55:50Z

Updated a link.

Selinger: minor copy-edit

2020-12-08T13:13:01Z

minor copy-edit

Selinger: typo

2020-12-08T13:12:11Z

typo

Selinger: Fixed typo in diagram.

2020-12-08T13:10:22Z

Fixed typo in diagram.

Selinger: Started fixing this page, but ran out of time.

2020-12-08T03:50:18Z

Started fixing this page, but ran out of time.

Show changes

@@ Line 49: / Line 49: @@
 If Blue plays at a, f or g, then Red plays at b.
 Note that Red connect down from the left by playing d, and connect down from the right by playing y.
-The only way for Blue to block both is to play k, but Red with the same strategy on the left would produce a 2nd row ladder toward the right.
+The only way for Blue to block both is to play k, but Red with the same strategy on the left would at worst produce a 2nd row ladder toward the right.
 <hexboard size="6x14"

← Older revision		Revision as of 02:31, 9 May 2024
Line 66:		Line 66:


−	~~{{stub}}~~
	[[category:edge templates]]		[[category:edge templates]]

@@ Line 56: / Line 56: @@
    visible="area(i1,c4,a6,o6,o4,k1)"
    contents="R j1 B h4 R h2 B e6 R 1:g4
-             E a:g3 b:h3 y:i4 f:f5 g:g5 j:f6"
+             E a:g3 b:h3 y:i4 g:g5 j:f6 z:d5"
    />
-Finally if Blue plays at i, then Red plays at d. Apart from the bridges, Blue is forced to play g, and then Red plays b, forcing Blue to block on the right part (against Red y). Red then wins with f, making a capped flank on the left.
+Finally if Blue plays at i, then Red plays at d. Apart from the bridges, Blue is forced to play g, and then Red plays b, forcing Blue to block on the right part (against Red y), and then Red wins with z.
 If Blue intrudes at a, then Red responds at b, forcing Blue to block on the right part, and then Red wins with j.
-If Blue intrudes at b, then Red responds at a. Blue is still forced to play g, and then Red wins with f.
+If Blue intrudes at b, then Red responds at a. Blue is still forced to play g, and then Red wins with z.
 {{stub}}
 [[category:edge templates]]

@@ Line 47: / Line 47: @@
              E a:g3 d:g4 f:f5 g:g5 k:g6 y:i4"
    />
-If Blue plays at a,f or g, then Red plays at b.
+If Blue plays at a, f or g, then Red plays at b.
 Note that Red connect down from the left by playing d, and connect down from the right by playing y.
 The only way for Blue to block both is to play k, but Red with the same strategy on the left would produce a 2nd row ladder toward the right.
@@ Line 55: / Line 55: @@
    edges="bottom"
    visible="area(i1,c4,a6,o6,o4,k1)"
-   contents="R j1 B h4 R h2 B e6 R 1:g4 B 2:g5 R 3:f5 B 4:f6 R 5:d5 B 6:e5 R 7:e4 B 8:f4 R 9:f3
+   contents="R j1 B h4 R h2 B e6 R 1:g4
-             E a:g3 b:h3 y:i4"
+             E a:g3 b:h3 y:i4 f:f5 g:g5 j:f6"
    />
-Finally if Blue plays at i, then Red plays at d. Suppose Blue don't intrude the bridge at a or b, then Red has the forcing sequence shown in the picture.
+Finally if Blue plays at i, then Red plays at d. Apart from the bridges, Blue is forced to play g, and then Red plays b, forcing Blue to block on the right part (against Red y). Red then wins with f, making a capped flank on the left.
-Now if the bridge was intruded by blue at a at some moment before 9, then Red should respond at b, forcing Blue to block on the right part (against Red y) and Red can win with one more move on the left.
+If Blue intrudes at a, then Red responds at b, forcing Blue to block on the right part, and then Red wins with j.
-If the bridge was intruded at b, then Red should respond at a and can win with a capped flank on the left.
-These claims have to be checked on each turn.
+If Blue intrudes at b, then Red responds at a. Blue is still forced to play g, and then Red wins with f.
 {{stub}}
 [[category:edge templates]]

@@ Line 35: / Line 35: @@
              E a:g3 b:h3 c:f4 d:g4 e:e5 f:f5 g:g5 h:d6 i:e6 j:f6 k:g6 x:f3"
    />
-If Blue plays at c, e, h, or j, Red responds at d and gets a 2nd row ladder, which connects.
+If Blue plays at c, e, h, j or k, Red responds at d and gets a 2nd row ladder, which connects.
 If Blue plays at b, Red plays at x and connects by [[edge template IV1a]].
 If Blue plays at d, Red plays at x and gets a 2nd row ladder, which connects.
-This leaves a, f, i, g, k. To be continued.
+This leaves a, f, g, i.
 {{stub}}
 [[category:edge templates]]

← Older revision		Revision as of 21:55, 20 June 2021
Line 1:		Line 1:
−	This article deals with a special case in [[~~defending against intrusions in~~ template ~~VI1~~]], namely the intrusion on the 3rd that is not eliminated by [[sub-templates threat]]s.	+	This article deals with a special case in the defense of [[edge template VI1a]], namely the intrusion on the 3rd that is not eliminated by [[sub-templates threat]]s.

	== Basic situation ==		== Basic situation ==

@@ Line 26: / Line 26: @@
              R 1:g5 B 2:g6 R 3:h5 B 4:h6 R 5:j5 B 6:i5 R 7:j4 B 8:i4 R 9:k2"
    />
-Apart from attacking the bridge, which Red defends, Blue's next move must be in the blue area, or else Red plays at d and connects.
+Apart from attacking the bridge, which Red defends, Blue's next move must be in the shaded blue area, or else Red plays at d and connects.
 <hexboard size="6x14"
    coords="none"