User talk:Fjan2ej57w - Revision history

Fjan2ej57w: /* One game that I played against myself some time ago */

2025-03-08T23:13:40Z

‎One game that I played against myself some time ago

Fjan2ej57w: /* One game that I played against myself some time ago */

2025-03-08T22:34:31Z

‎One game that I played against myself some time ago

Fjan2ej57w: /* One game that I played against myself some time ago */

2025-03-08T02:35:08Z

‎One game that I played against myself some time ago

Fjan2ej57w: /* One game that I played against myself some time ago */

2025-03-08T01:42:11Z

‎One game that I played against myself some time ago

Fjan2ej57w: /* lolololololololol seperate line lolololololololol */

2025-03-07T22:32:08Z

‎lolololololololol seperate line lolololololololol

Fjan2ej57w: /* lolololololololol seperate line lolololololololol */

2025-03-07T21:51:40Z

‎lolololololololol seperate line lolololololololol

Fjan2ej57w: /* some thoughts about hex */

2024-05-07T21:43:42Z

‎some thoughts about hex

Fjan2ej57w at 00:57, 30 April 2024

2024-04-30T00:57:12Z

Fjan2ej57w at 00:44, 30 April 2024

2024-04-30T00:44:48Z

Fjan2ej57w: /* some thoughts about hex */

2024-04-29T23:08:28Z

‎some thoughts about hex

@@ Line 304: / Line 304: @@
 />
-Notice what blue get from this exchange, and how well they combine with the groups in the right half of the board. At this point, many weakness of blue that I mentioned earlier disappears automatically. By playing like that, blue controlled the center. Many empty cells are almost captured(See also:[[Captured cell]].)The current position could be viewed like this:
+Notice what blue get from this exchange, and how well they combine with the groups in the right half of the board. At this point, many weakness of blue that I mentioned earlier disappears automatically. By playing like that, blue controlled the center. Many empty cells are almost captured(See also:[[Captured cell]].)The current position could be roughly viewed like this:
 <hexboard size="11x11"
@@ Line 326: / Line 326: @@
 <hexboard size="11x11"
-Contents="R 1:c2 B 2:d8 R 3:h7 B 4:h9 R 5:i9 B 6:h10 R 7:i10 B 8:i8 R 9:j6 B 10:k7 R 11:g9 B 12:g8 R 13:h8 B 14:e10 R 15:f11 B 16:h4 R 17:j3 B 18:h3 R 19:j2 B 20:j4 R 21:i4 B 22:h6 R 23:c6 B 24:g7 R 25:b9 B 26:d7 R 27:b8 B 28:b7 R 29:c7 B 30:d9 R 31:b10 B 32:c5 R 33:d5 B 34:e3 E *:f3 E +:g3 "
+Contents="R 1:c2 B 2:d8 R 3:h7 B 4:h9 R 5:i9 B 6:h10 R 7:i10 B 8:i8 R 9:j6 B 10:k7 R 11:g9 B 12:g8 R 13:h8 B 14:e10 R 15:f11 B 16:h4 R 17:j3 B 18:h3 R 19:j2 B 20:j4 R 21:i4 B 22:h6 R 23:c6 B 24:g7 R 25:b9 B 26:d7 R 27:b8 B 28:b7 R 29:c7 B 30:d9 R 31:b10 B 32:c5 R 33:d5 B 34:e3 E *:f3 E +:g3 S
 />

@@ Line 198: / Line 198: @@
 />
-c2 is quite balanced first move, but it's still too weak to be swapped. If blue plays the obtuse corner d8, the future use of c2 would become very limited———It only serves as a 3rd row ladder escape. On the other hand, d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. At such an early stage, we don't even need to worry about it's connection to the left edge, and better to treat it as if it's already connected(until it's not :p). And it's already blocking the opponent's edge very well, constantly threatening to proceed to the middle(f7,f6,g7,etc.).
+c2 is quite balanced, but it's still too weak to be swapped. If blue plays the obtuse corner d8, the future use of this stone would become very limited———It only serves as a 3rd row ladder escape. On the other hand, d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. At such an early stage, we don't even need to worry about it's connection to the left edge, and it's better to treat it as if it's already connected(until it's not :p). And it's already blocking the opponent's edge very well, while constantly threatening to proceed to the middle(f7, f6, g7, etc.).
-After blue d8, red played the acute corner move at h7:
+After blue 2.d8, red played the acute corner move at 3.h7:
 <hexboard size="11x11"
@@ Line 213: / Line 213: @@
 />
-The benefit of this kind of playing is that we could block opponent's edge as much as possible, while keeping the desired connection. If red has got one row further, the "imaginary" bridge ladder would not function anymore.
+It blocks opponent's edge as much as possible, while keeping the desired connection. If red had got one row further, this "imaginary" bridge ladder would not function anymore.
-After that, blue intruded and a common joseki occurred:
+After that, blue intruded at 3.h9 and a common joseki occurred:
 <hexboard size="11x11"
@@ Line 221: / Line 221: @@
 />
-I don't want to go in details about this, there are articles on this site specifically for josekis, like this one: [[Josekis]].
+I don't want to go in details about this, because there are articles on this site specifically for josekis, like this one: [[Josekis]].
-The only thing that matters is the outcome. After intruding red's acute corner, blue got 12.g8 and 14.e10, which would be useful later. Red also got 9 j6 and solidified the connection from h7 to the bottom edge. And it's still blue's turn to move. "He" played another 4-4 and red intruded at j3, hoping to use the c2 piece on the left:
+The only thing that matters is the outcome. After the exchange, blue got 12.g8 and 14.e10, which would be useful later. Red also got 9.j6 and solidified the connection from h7 to the bottom edge. And it's still blue's turn to move. "He" played another 4-4 and red intruded at j3, hoping to use the c2 piece on the left:
 <hexboard size="11x11"
@@ Line 237: / Line 237: @@
 />
-Since red's 17 is already connected to the top edge, blue chose to play tidily at h3, forcing red to respond at 19.j2. (See also: [[Tidiness]].):
+Since red's 17 is sufficiently connected to the top edge, blue chose to play tidily at h3, forcing red to respond at 19.j2. (See also: [[Tidiness]].):
 <hexboard size="11x11"
@@ Line 243: / Line 243: @@
 />
-This exchange is——in most cases——good for blue, who's got an additional piece at 18.h3. On the other hand, red only got what he almost deserved in the first place, making his moves repetitive. For example, 19.j2 indeed serves as a 2nd row ladder escape, but c2 already did the job.
+This exchange is——in most cases——good for blue. The additional piece 18.h3 would help blue to connect to the left edge. On the other hand, red only got what he almost deserved in the first place, making his moves repetitive. For example, 19.j2 indeed serves as a 2nd row ladder escape, but c2 already did the job.
-After that, blue has very few choice to avoid an immediate lose and j4 is one of such. After this move, red cut at i4 and blue blocked red at h6, forming a bottleneck in the middle (See also: [[Bottleneck]].) :
+After that, blue has very few choice to avoid an immediate lose. 20.j4 is one of such. After this move, red cut at i4 and blue blocked red at h6, forming a bottleneck in the middle (See also: [[Bottleneck]].) :
 <hexboard size="11x11"
@@ Line 251: / Line 251: @@
 />
-and 22 are very efficient to block red, and it punished the weak point he left at i6. In fact, 22 is virtually connected to the right edge and red has no way to prevent it. For example,  like this:
+Moves like 20 and 22 are very efficient combination to block your opponent, especially when 22 is very far away from his goal of connection. In this game, it punished the weak point red had left at i6. In fact, 22 is virtually connected to the right edge. Red is unable to prevent this connection. For example, like this:
 <hexboard size="11x11"
@@ Line 257: / Line 257: @@
 />
-The blue stone 8 and 10, which seem to have been "eaten" by red in the early game   finally revealed their effect.
+The blue stone 8 and 10, which seem to have been "eaten" by red earlier finally revealed their effect.
 Since the outcome is clear for both sides, and neither red nor blue would benefit from the above sequence, red tenuki and tried to block on left half of the board:
@@ Line 265: / Line 265: @@
 />
-Let's view this position again. Blue now has successfully cut red on the right. If red continues pushing at h5, this would only help blue. And even if red wisely tenuki as in the actual game, blue is already too strong！ I mean, look at the board, there are blue stones everywhere, but the only stone for red that seem to have some effect is c2. The position for red doesn't look good at first glance, but it's still not hopeless. Blue still has much weakness in the lower part, as well as the cutting point at h5.
+Let's view this position again. Blue now has successfully cut red on the right. If red continues pushing at h5, this would only help blue. And even if red wisely tenuki as in the actual game, blue is already too strong! I mean, look at the board, there are blue stones everywhere, but the only stone for red that seem to have some effect is c2. The position for red doesn't look good at first glance, but it's still not hopeless. Blue still has much weakness in the lower part, as well as the cutting point at h5.
-So after red 23.c6, blue fixed at g7, leaving almost no chance for red to going through 2.d8 and 22.h6 (Actually I'm not so sure about g7, but it seems quite ok for blue.):
+So after red 23.c6, blue fixed at g7, leaving almost no chance for red to going through the gap between 2.d8 and 22.h6(or use it as a threat) (Actually I'm not so sure about g7, but it seems quite ok for blue.):
 <hexboard size="11x11"
@@ Line 283: / Line 283: @@
 />
-But the issue here is that red is unable to connect 23 to the top edge, and blue has the following way to block it, and it combines well with 18.h3(as we could see later in the actual game):
+Blue has the following way to block c6, and the blue sequence would combine well with 18.h3, which formes a two—gap.(as we could see later in the actual game):
 <hexboard size="11x11"
@@ Line 290: / Line 290: @@
 />
-Within this region, red is unable to use c2, because it doesn't escape 4th row ladders. Instead, blue could get a 2nd row ladder starting from the cell marked "+"
+Within this region, red is unable to connect, because c2 doesn't escape 4th row ladders. Conversly, blue could get a 2nd row ladder starting from the cell marked "+"
 So after blue 24, red tried to block at b9, as a desperate attempt.
@@ Line 304: / Line 304: @@
 />
-Notice what blue get from this exchange, and how well they combine with the groups in the right half of the board. At this point, many weakness of blue that I mentioned earlier disappears automatically.
+Notice what blue get from this exchange, and how well they combine with the groups in the right half of the board. At this point, many weakness of blue that I mentioned earlier disappears automatically. By playing like that, blue controlled the center. Many empty cells are almost captured(See also:[[Captured cell]].)The current position could be viewed like this:
 After that, blue has to return to the top and block red in the way mentioned above:

@@ Line 251: / Line 251: @@
 />
-.j4 and 22.h6 are very efficient to block red, and it punished the weak point red left at i6. In fact, 22.h6 is virtually connected to the right edge and red has no way to prevent it. For example,  like this:
+and 22 are very efficient to block red, and it punished the weak point he left at i6. In fact, 22 is virtually connected to the right edge and red has no way to prevent it. For example,  like this:
 <hexboard size="11x11"
@@ Line 257: / Line 257: @@
 />
-The blue stone 8 and 10, which seem to have been "eaten" by red in the early game   revealed their effect at this moment.
+The blue stone 8 and 10, which seem to have been "eaten" by red in the early game   finally revealed their effect.
 Since the outcome is clear for both sides, and neither red nor blue would benefit from the above sequence, red tenuki and tried to block on left half of the board:
@@ Line 265: / Line 265: @@
 />
-Let's view this position again at this point. Blue now has successfully cut red on the right. If red continues pushing at h5, this would only help blue. And even if red wisely tenuki as in the actual game, blue is already too strong！ I mean, look at the board, there are blue stones everywhere, but the only stone for red that seem to have some effect is c2. The position for red doesn't look good at first glance, but it's still not hopeless. Blue still has much weakness in the lower part, as well as the cutting point at h5.
+Let's view this position again. Blue now has successfully cut red on the right. If red continues pushing at h5, this would only help blue. And even if red wisely tenuki as in the actual game, blue is already too strong！ I mean, look at the board, there are blue stones everywhere, but the only stone for red that seem to have some effect is c2. The position for red doesn't look good at first glance, but it's still not hopeless. Blue still has much weakness in the lower part, as well as the cutting point at h5.
@@ Line 304: / Line 304: @@
 />
-Notice what blue get from this exchange. And how well they combine with the groups in the right half of the board. At this point, many weakness of blue that I mentioned earlier disappears automatically.
+Notice what blue get from this exchange, and how well they combine with the groups in the right half of the board. At this point, many weakness of blue that I mentioned earlier disappears automatically.

@@ Line 186: / Line 186: @@
 This game was played on 11x11. Moves may not be perfect but I could explain some basic strategies and some thoughts during the play. Hope that would be helpful to new players. :D
-The end game looks like this, red resign after blue 34 e3:
+The end game looks like this, red resign after blue 34.e3:
 <hexboard size="11x11"
-Contents="R 1:c2 B 2:d8 R 3:h7 B 4:h9 R 5:i9 B 6:h10 R 7:i10 B 8:i8 R 9:j6 B 10:k7 R 11:g9 B 12:g8 R 13:h8 B 14:e10 R 15:f11 B 16:h4 R 17:j3 B 18:h3 R 19:j2 B 20:j4 R 21:i4 B 22:h6 R 23:c6 B 24:g7 R 25:b9 B 26:d7 R 27:b8 B 28:b7 R 29:c7 B 30:d10 R 31:b10 B 32:c5 R 33:d5 B 34:e3 "
+Contents="R 1:c2 B 2:d8 R 3:h7 B 4:h9 R 5:i9 B 6:h10 R 7:i10 B 8:i8 R 9:j6 B 10:k7 R 11:g9 B 12:g8 R 13:h8 B 14:e10 R 15:f11 B 16:h4 R 17:j3 B 18:h3 R 19:j2 B 20:j4 R 21:i4 B 22:h6 R 23:c6 B 24:g7 R 25:b9 B 26:d7 R 27:b8 B 28:b7 R 29:c7 B 30:d9 R 31:b10 B 32:c5 R 33:d5 B 34:e3 "
 />
@@ Line 198: / Line 198: @@
 />
-Though said to be the most balanced first move on 11x11, I still think c2 is slightly on the losing side. If blue plays the obtuse corner d8, the future use of c2 would become very limited———It only serves as a 3rd row ladder escape. But d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. We don't even need to worry about it's connection to the left edge, and it's already blocking the opponent's edge very well. Also, it is constantly threatening to proceed to the middle(f7,f6,g7,etc.).
+c2 is quite balanced first move, but it's still too weak to be swapped. If blue plays the obtuse corner d8, the future use of c2 would become very limited———It only serves as a 3rd row ladder escape. On the other hand, d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. At such an early stage, we don't even need to worry about it's connection to the left edge, and better to treat it as if it's already connected(until it's not :p). And it's already blocking the opponent's edge very well, constantly threatening to proceed to the middle(f7,f6,g7,etc.).
 After blue d8, red played the acute corner move at h7:
@@ Line 213: / Line 213: @@
 />
-The benefit of this kind of playing is that we could block opponent's edge as much as possible, while keeping the desired connection. If red had got one row further, the "imaginary" bridge ladder would not function anymore.
+The benefit of this kind of playing is that we could block opponent's edge as much as possible, while keeping the desired connection. If red has got one row further, the "imaginary" bridge ladder would not function anymore.
 After that, blue intruded and a common joseki occurred:
@@ Line 221: / Line 221: @@
 />
-I don't want to go in details about this, there are articles on this site specifically for josekis, like this one: [[Josekis]]
+I don't want to go in details about this, there are articles on this site specifically for josekis, like this one: [[Josekis]].
-The only thing that matters is the outcome, after intruding red's acute corner, blue got 12 g8 and 14 e10, which would be useful later. Red also get 9 j6 and solidified the connection from h7 to the bottom edge. And it's still blue's turn to move.
+The only thing that matters is the outcome. After intruding red's acute corner, blue got 12.g8 and 14.e10, which would be useful later. Red also got 9 j6 and solidified the connection from h7 to the bottom edge. And it's still blue's turn to move. "He" played another 4-4 and red intruded at j3, hoping to use the c2 piece on the left:

@@ Line 185: / Line 185: @@
 This game was played on 11x11. Moves may not be perfect but I could explain some basic strategies and some thoughts during the play. Hope that would be helpful to new players. :D
 <hexboard size="11x11"
@@ Line 196: / Line 198: @@
 />
-Though said to be the most balanced first move on 11x11, I still think c2 is slightly on the losing side. If blue plays the obtuse corner d8, the future use of c2 would become very limited———It only serves as a 3rd row ladder escape. But d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. We don't even need to worry about it's connection to the left edge, and it's already blocking the opponent's edge very well. What's more, it is constantly threatening to proceed to the middle(f7,f6,g7,etc.) at the same time.
+Though said to be the most balanced first move on 11x11, I still think c2 is slightly on the losing side. If blue plays the obtuse corner d8, the future use of c2 would become very limited———It only serves as a 3rd row ladder escape. But d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. We don't even need to worry about it's connection to the left edge, and it's already blocking the opponent's edge very well. Also, it is constantly threatening to proceed to the middle(f7,f6,g7,etc.).
 After blue d8, red played the acute corner move at h7:
@@ Line 210: / Line 212: @@
 Contents="R 3:h7 *:i8 *:j9 *:k10"
 />

← Older revision		Revision as of 21:51, 7 March 2025
Line 179:		Line 179:
	See also [[Near ladder escape]].		See also [[Near ladder escape]].
	If any of the space required are occupied by blue, red would be in trouble. And if red do trys to connect like that, blue could in some cases intrude into the cells marked"*" to get a 2nd row ladder escape as well as some territory.		If any of the space required are occupied by blue, red would be in trouble. And if red do trys to connect like that, blue could in some cases intrude into the cells marked"*" to get a 2nd row ladder escape as well as some territory.
		+
		+	==One game that I played against myself some time ago==
		+
		+	2025.03.8
		+
		+	This game was played on 11x11. Moves may not be perfect but I could explain some basic strategies and some thoughts during the play. Hope that would be helpful to new players. :D
		+
		+	<hexboard size="11x11"
		+	Contents="R 1:c2 B 2:d8 R 3:h7 B 4:h9 R 5:i9 B 6:h10 R 7:i10 B 8:i8 R 9:j6 B 10:k7 R 11:g9 B 12:g8 R 13:h8 B 14:e10 R 15:f11 B 16:h4 R 17:j3 B 18:h3 R 19:j2 B 20:j4 R 21:i4 B 22:h6 R 23:c6 B 24:g7 R 25:b9 B 26:d7 R 27:b8 B 28:b7 R 29:c7 B 30:d10 R 31:b10 B 32:c5 R 33:d5 B 34:e3 "
		+	/>
		+
		+	Let's start from the beginning. Red played c2 as the first move and blue responded at d8:
		+
		+	<hexboard size="11x11"
		+	contents="R 1:c2 B 2:d8"
		+	/>
		+
		+	Though said to be the most balanced first move on 11x11, I still think c2 is slightly on the losing side. If blue plays the obtuse corner d8, the future use of c2 would become very limited———It only serves as a 3rd row ladder escape. But d8(sometimes also called the 4-4 obtuse corner) Is pretty strong. We don't even need to worry about it's connection to the left edge, and it's already blocking the opponent's edge very well. What's more, it is constantly threatening to proceed to the middle(f7,f6,g7,etc.) at the same time.
		+
		+	After blue d8, red played the acute corner move at h7:
		+
		+	<hexboard size="11x11"
		+	Contents="R 1:c2 B 2:d8 R 3:h7"
		+	/>
		+
		+	Notice how this move is "one row upper" from the long diagonal, and how this is useful for the potential bridge ladder:
		+
		+	<hexboard size="11x11"
		+	Visible="area(g6, g11, k11, k6)"
		+	Contents="R 3:h7 :i8 :j9 *:k10"
		+	/>

@@ Line 125: / Line 125: @@
 contents="E +:a2 E +:a3 B b3 R c3 E -:e1 E -:e2 E -:e3 "
 />
-So there is an injective map from the collection of all 3rd row ladder escape template to the collection of all 2nd row ladder escape template.
+It may not be minimum(even though I suspect is)But there must exist one minimum 2nd row ladder escape template coming from this.

@@ Line 93: / Line 93: @@
 ==some thoughts about hex==
-Beginners are too eager to push ladders. This seems to oversimplify the game for the attacker(since a ladder could be used in many different ways). And for the defender, it's generally better to play elsewhere until the ladder becomes threatening enough.
+Beginners are too eager to push ladders. From the attacker's pespective, this seems to oversimplify the game since a ladder could be used in potentially different ways. And for the defender, it's generally better to play elsewhere until the ladder becomes threatening enough. The opponent may get inappropriate advantages from any kind of overreaction.
 <hexboard size="11x11"
@@ Line 99: / Line 99: @@
 />
-As shown above, after red's c2, blue didn't swap and played d8. It's not good in general to handle the ladder in such early stage of the game. By defending this ladder, red has actually assumed that d8 is already connected to the top edge. On the other hand, by pushing the ladder, blue has also assumed this, and that he gets a 2nd row ladder escape on the right, which is currently not the case.
+As shown above, after red's c2, blue didn't swap and played d8. It's not good in general to handle the ladder in such early stage of the game. By defending this ladder, red has actually assumed the solid connection between d8 and the right edge. On the other hand, by pushing the ladder, blue has not only assumed this, but also that he gets a 2nd row ladder escape on the top, which is currently not the case.
 Finding all 2nd row ladder escapes may be at least as hard as finding all 3rd row ladder escapes.
-Consider the following position, blue to move:
+Consider the following position with blue to move:
 <hexboard size="9x19"
 coords="none"
@@ Line 109: / Line 109: @@
 contents="R ↑:a8 B f9 R g9"
 />
-Red's ladder stone marked"↑" is already connected to the top edge. The connection is not shown, but it does not use any space on the 2nd and 3rd row, nor any space within the carrier of the potential ladder escape template.
+Red's ladder stone marked "↑" is already connected to the top edge. The connection is not shown, but it does not use any space on the 2nd and 3rd row, nor any space within the carrier of the potential ladder escape template.
 Notice that red has a 2nd row ladder at first, and could get a 3rd row ladder to the right of that blue stone in the middle:
 <hexboard size="9x19"
@@ Line 117: / Line 117: @@
 contents="R ↑:a8 B f9 R g9 B 1:a9 R 2:b8 B 3:b9 R 4:c8 B 5:c9 R 6:d8 B 7:d9 R 8:e8 B 9:e9 R 10:g7 B 11:g8 R 12:h7 B 13:h8 R 14:i7 "
 />
-That means for any 3rd row ladder escape template,we could simply add the pattern below to the left and get a 2nd row ladder escape template as shown below:(In accordence with [[Theory of ladder escapes]], the cell marked with "+" and "-" are not part of the carrier, they just indicate how such templates are glued together)
+That means for any 3rd row ladder escape template,we could simply add the pattern below to the left and get a 2nd row ladder escape template:
 <hexboard size="3x5"

@@ Line 4: / Line 4: @@
    [visible=]["][area(][a3,d3,d1,c1]
    [)"]//set bondary by vertex
-   [edges=]["][bottom]["]
+   [edges=]["][bottom]["]//colouring the bottom only
-   [coords=]["][none]["]//not coloring
+   [coords=]["][none]["]//not showing numbers
    [contents=]["][R c1]["]
    [/>]
@@ Line 110: / Line 110: @@
 />
 Red's ladder stone marked"↑" is already connected to the top edge. The connection is not shown, but it does not use any space on the 2nd and 3rd row, nor any space within the carrier of the potential ladder escape template.
-Notice that red has a 2nd row ladder at first, but would only get a 3rd row ladder to the right of that blue stone in the middle:
+Notice that red has a 2nd row ladder at first, and could get a 3rd row ladder to the right of that blue stone in the middle:
 <hexboard size="9x19"
 edges="bottom"
@@ Line 117: / Line 117: @@
 contents="R ↑:a8 B f9 R g9 B 1:a9 R 2:b8 B 3:b9 R 4:c8 B 5:c9 R 6:d8 B 7:d9 R 8:e8 B 9:e9 R 10:g7 B 11:g8 R 12:h7 B 13:h8 R 14:i7 "
 />
-That means there exist at least one 2nd row ladder escape template from any 3rd row ladder escape template by simply adding the following pattern to the left of it:
+That means for any 3rd row ladder escape template,we could simply add the pattern below to the left and get a 2nd row ladder escape template as shown below:(In accordence with [[Theory of ladder escapes]], the cell marked with "+" and "-" are not part of the carrier, they just indicate how such templates are glued together)
 <hexboard size="3x5"
@@ Line 125: / Line 125: @@
 contents="E +:a2 E +:a3 B b3 R c3 E -:e1 E -:e2 E -:e3 "
 />
-There is a reason why I say this is just a thought. Actually I assumed in this argument that red could only get a 3rd row ladder from a 2nd row ladder after the pattern above, but it's cureently unkown if red could pivot instead of yielding at 10, and somehow find a way to connect the gap marked with "*":
+So there is an injective map from the collection of all 3rd row ladder escape template to the collection of all 2nd row ladder escape template.
-−
-<hexboard size="9x19"
-edges="bottom"
-coords="none"
-visible="area(a8,a9,s9,s7,f7)"
-contents="R ↑:a8 B f9 R g9 B 1:a9 R 2:b8 B 3:b9 R 4:c8 B 5:c9 R 6:d8 B 7:d9 R 8:e8 B 9:e9 R 10:g8 E *:f8"
-/>

@@ Line 96: / Line 96: @@
 <hexboard size="11x11"
-contents="R c2 B d8 R 1:d9 B 2:c9 R 3:b11 B 4:c10 R 5:c11 B 6:d10 R 7:d11 B 8:e10 "
+contents="R c2 B d8 R 1:c8 B 2:c9 R 3:a10 B 4:b9 R 5:a9 B 6:b8 R 7:a8 B 8:b7 "
 />