Difference between revisions of "User:Mason"
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| Line 46: | Line 46: | ||
contents="R e1 g2 f3" | contents="R e1 g2 f3" | ||
/> | /> | ||
| + | |||
| + | <hexboard size="5x8" | ||
| + | visible="-area(a1,d1,a4) g1 h1 h2" | ||
| + | edges="bottom" | ||
| + | coords="none" | ||
| + | contents="R e1 d2 S blue:e4 blue:e5 blue:f5" | ||
| + | /> | ||
| + | This is actually 3 templates. Each blue-shaded cell represents a place you can put a blue stone and still have a template. | ||
=== Ladder Escapes === | === Ladder Escapes === | ||
| Line 56: | Line 64: | ||
=== Switchbacks === | === Switchbacks === | ||
| + | |||
| + | ==== 3-5 Switchbacks ==== | ||
| + | |||
| + | <hexboard size="6x7" | ||
| + | visible="-area(a1, c1, a3) f1 g1--g3" | ||
| + | edges="bottom" | ||
| + | coords="none" | ||
| + | contents="R d1 E arrow(9):c2 arrow(9):b3 arrow(3):a4 arrow(3):a5 S red:c2 blue:b3 red:a4 blue:a5" | ||
| + | /> | ||
| + | |||
| + | ==== 4-6 Switchbacks ==== | ||
<hexboard size="6x8" | <hexboard size="6x8" | ||
| Line 63: | Line 82: | ||
contents="R e1 E arrow(9):c1 arrow(9):b2 arrow(3):a3 arrow(3):a4 S red:c1 blue:b2 red:a3 blue:a4" | contents="R e1 E arrow(9):c1 arrow(9):b2 arrow(3):a3 arrow(3):a4 S red:c1 blue:b2 red:a3 blue:a4" | ||
/> | /> | ||
| + | |||
| + | ==== 5-7 Switchbacks ==== | ||
<hexboard size="7x8" | <hexboard size="7x8" | ||
| Line 84: | Line 105: | ||
contents="R d2 E arrow(9):c1 arrow(9):b2 arrow(3):a3 arrow(3):a4 S red:c1 blue:b2 red:a3 blue:a4" | contents="R d2 E arrow(9):c1 arrow(9):b2 arrow(3):a3 arrow(3):a4 S red:c1 blue:b2 red:a3 blue:a4" | ||
/> | /> | ||
| + | ==== 6-8 Switchbacks ==== | ||
<hexboard size="8x9" | <hexboard size="8x9" | ||
| Line 95: | Line 117: | ||
=== Foldbacks === | === Foldbacks === | ||
| + | |||
| + | ==== 4-2 Foldbacks ==== | ||
| + | <hexboard size="5x4" | ||
| + | visible="-a1 area(c3,d3,d5,b5,b4)" | ||
| + | edges="bottom" | ||
| + | coords="none" | ||
| + | contents="R arrow(6):d2 E arrow(3):a2 arrow(3):a3 arrow(9):a4 arrow(9):a5 S red:a2 blue:a3 red:a4 blue:a5" | ||
| + | /> | ||
<hexboard size="6x9" | <hexboard size="6x9" | ||
| Line 104: | Line 134: | ||
The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move. | The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move. | ||
| + | |||
| + | ==== 5-2 Foldbacks ==== | ||
| + | |||
| + | <hexboard size="6x7" | ||
| + | visible="-a1 e1--g1 f2 g2 g3" | ||
| + | edges="bottom" | ||
| + | coords="none" | ||
| + | contents="R d2 E +:b1 arrow(3):a2 arrow(3):a3 arrow(9):a5 arrow(9):a6 S red:a2 blue:a3 red:a5 blue:a6" | ||
| + | /> | ||
| + | |||
| + | The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move. | ||
| + | |||
| + | ==== 5-3 Foldbacks ==== | ||
<hexboard size="5x5" | <hexboard size="5x5" | ||
| Line 112: | Line 155: | ||
/> | /> | ||
| − | <hexboard size=" | + | <hexboard size="6x3" |
| − | visible="- | + | visible="-a2--a6" |
edges="bottom" | edges="bottom" | ||
coords="none" | coords="none" | ||
| − | contents="R | + | contents="R c3 c1 E arrow(3):b2 arrow(3):b3 arrow(9):b4 arrow(9):b5 S red:b2 blue:b3 red:b4 blue:b5" |
/> | /> | ||
| − | <hexboard size=" | + | <hexboard size="6x4" |
| − | visible="- | + | visible="-a2--a6 d3--d6" |
edges="bottom" | edges="bottom" | ||
coords="none" | coords="none" | ||
| − | contents="R | + | contents="R c3 d1 E arrow(3):b2 arrow(3):b3 arrow(9):b4 arrow(9):b5 S red:b2 blue:b3 red:b4 blue:b5" |
/> | /> | ||
| − | |||
| − | |||
<hexboard size="5x3" | <hexboard size="5x3" | ||
| Line 150: | Line 191: | ||
contents="R c1 E arrow(9):b4 arrow(9):b5 arrow(3):b2 arrow(3):b3 S red:b2 blue:b3 red:b4 blue:b5" | contents="R c1 E arrow(9):b4 arrow(9):b5 arrow(3):b2 arrow(3):b3 S red:b2 blue:b3 red:b4 blue:b5" | ||
/> | /> | ||
| + | |||
| + | ==== 6-3 Foldbacks ==== | ||
| + | |||
| + | <hexboard size="7x8" | ||
| + | visible="-a1 e1--h1 f2--h2 g3 h3 h4" | ||
| + | edges="bottom" | ||
| + | coords="none" | ||
| + | contents="R d2 E +:b1 arrow(3):a2 arrow(3):a3 arrow(9):a5 arrow(9):a6 S red:a2 blue:a3 red:a5 blue:a6" | ||
| + | /> | ||
| + | |||
| + | The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move. | ||
| + | |||
| + | ==== 6-4 Foldbacks ==== | ||
<hexboard size="6x5" | <hexboard size="6x5" | ||
| Line 165: | Line 219: | ||
/> | /> | ||
| − | <hexboard size=" | + | <hexboard size="6x2" |
| − | + | ||
edges="bottom" | edges="bottom" | ||
coords="none" | coords="none" | ||
| − | contents="R b3 | + | contents="R b3 b1 E arrow(3):a1 arrow(3):a2 arrow(9):a3 arrow(9):a4 S red:a1 blue:a2 red:a3 blue:a4" |
/> | /> | ||
| − | <hexboard size=" | + | <hexboard size="6x3" |
| − | visible="- | + | visible="-c3--c6" |
edges="bottom" | edges="bottom" | ||
coords="none" | coords="none" | ||
| − | contents="R | + | contents="R b3 c1 E arrow(3):a1 arrow(3):a2 arrow(9):a3 arrow(9):a4 S red:a1 blue:a2 red:a3 blue:a4" |
/> | /> | ||
| − | + | ==== 7-5 Foldbacks ==== | |
<hexboard size="7x3" | <hexboard size="7x3" | ||
Latest revision as of 19:48, 2 April 2024
Relative Coordinates
This is a coordinate system adapted from Go that allows us to talk about important moves in the same way, regardless of board size. We use YX instead of XY because row is more important in Hex, and because we're taking the bottom red edge as our perspective, as is customary. This also most closely resembles how people talk about certain moves already. 4-4 becomes 44. 5-4 becomes 54'.
- A: 44
- B: 54'
- C: 5'4
- D: 4'4'
- 1: 2'3
- 2: 5'2
3 requires some more explaining. On it's own, 3 would be 62. However, if stones 1 and 2 were the previous two moves, it can be better to refer to it as 8'2. This is because the sequence 2'3, 5'2, 8'2 is a common opening sequence, and referring to it as 8'2 means it won't change with board size. It also communicates the fact that 3's row is based on the placement of 1 and 2, and not distance from the red edge.
Edges
Relative coordinates naturally give rise to a very simple way of referring to the edges: red, red', blue, blue'.
Symmetrical Switchback Templates
Templates
This is actually 3 templates. Each blue-shaded cell represents a place you can put a blue stone and still have a template.
Ladder Escapes
Switchbacks
3-5 Switchbacks
4-6 Switchbacks
5-7 Switchbacks
6-8 Switchbacks
Only works if there's a second row foldback threat.
Foldbacks
4-2 Foldbacks
The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move.
5-2 Foldbacks
The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move.
5-3 Foldbacks
Generalizible to any capped flank.
6-3 Foldbacks
The cell with the + needs to be extended with empty cells such that it is adjacent to the red stone at the front of the ladder, with blue to move.
6-4 Foldbacks
7-5 Foldbacks
Ladder
Misc
Assuming * could be used for a ladder escape fork if the ladder was farther away. Blue must play at a.
