Difference between revisions of "User:Mason"

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(Size 14)
(WIP)
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Assuming * could be used for a ladder escape fork if the ladder was farther away. Blue must play at '''a'''.
 
Assuming * could be used for a ladder escape fork if the ladder was farther away. Blue must play at '''a'''.
 
== WIP ==
 
 
=== Size 14 ===
 
-: 1/6 < w < 1/4
 
 
\*: 1/4 < w < 1/3
 
 
+: 1/3 < w < 1/2
 
 
<hexboard size="14x14"
 
  coords="show"
 
  contents="S red:all blue:(a1--m1 a2--l2 a3 g3 n3)        none:f3
 
                      blue:(b14--n14 c13--n13 n12 h12 a12) none:i12
 
            E -:(a3 a4 a6 a9 a10 a12 b12 c13 e12 l13)
 
              *:(a11 a14 b4 d12 j12)
 
              +:(f12 g12 h12 i12)
 
              -:(c2 j3 l2 m3 n3 n5 n6 n9 n11 n12)
 
              *:(e3 k3 m11 n1 n4)
 
              +:(f3 g3 h3 i3)"
 
/>
 

Revision as of 06:01, 2 October 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 ("four four") is the same: 44 ("four four"). 5-4 ("five four") becomes 54' ("five four prime"). Hyphens can be optionally included, and necessarily included when a number is more than 1 digit.

  • A: 44
  • B: 54'
  • C: 5'4
  • D: 4'4'
  • 1: 2'3
  • 2: 5'2
1D2C3BA

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

a

Assuming * could be used for a ladder escape fork if the ladder was farther away. Blue must play at a.