Difference between revisions of "Climbing"

Revision as of 01:19, 30 November 2020

Climbing means playing a series of forcing moves by which a player gains significant distance across the board and potentially connects to the opposite edge, by repeatedly threatening to connect to the player's nearby pieces.

Here is an idealized example. Red to move.

Red wins by climbing from e8.

Note that every single one of Blue's moves is forced. Although Blue could intrude into some of Red's bridges or other templates, this does not help.

Note that climbing was possible even though Blue seemed to have more strength on the right side of the board than Red. What makes climbing work is the exposed "flank" of unprotected Red pieces that Red can repeatedly threaten to connect to. The potential for climbing is often difficult for beginners to spot, and can lead to swift and unexpected defeat. It is therefore a good idea to try to deny the opponent opportunities to climb.

Example

Climbing does not always have to proceed by bridges. A combination of bridges and adjacent moves is common. Here is an example from an actual game. Red to move.

Red starts a 3rd row ladder, then immediately jumps and climbs.

At this point, Red is connected by an interior ziggurat, marked "*", to edge template IV2d. Blue resigns.

Zipper

Zippering is a special case of climbing where the player's threatened connections are all on one side, and the attacker mostly proceeds by bridges. This is called a "zipper" because it vaguely looks like an actual zipper (see the illustration on the right). For example, consider the following position, with Red to move:

Red pushes the ladder, jumps, and zippers all the way to the opposite edge.

Move 1 was actually unnecessary; we have shown it to make it more obvious why 3 was forcing. Red could have immediately started with 3.

Climbing from a ladder

Climbing often starts from a ladder. To find good climbing opportunities, it is useful to consider how far the attacker can climb "unassisted", starting from various ladders. After that, the attacker can potentially climb even further if there are additional forcing moves available.

2nd row ladder

Scenario 1: In this scenario, Red's space is limited. Red can climb to the 4th row, potentially bridging to a stone on the 6th row.

Scenario 2: If Red has slightly more space, Red can climb to the 5th row, potentially bridging to a stone on the 7th row.

Scenario 3: In this scenario, Red's 2nd row ladder comes with a switchback threat, i.e., a 2nd-to-4th row switchback would allow Red to connect. In this case, Red can climb to the 6th row, potentially bridging to a stone on the 8th row. This kind of ladder escape fork is called a switchback fork.

Scenario 4: Finally, if Red has a switchback threat and slightly more space on the right, Red can climb all the way to the 7th row, potentially bridging to a stone on the 9th row. This is highly threatening; note that on an 11×11 board, the 9th row is almost on the opposite side of he board.

Of course, there are many variations of these basic scenarios, depending on what other pieces Red and Blue have on the board. But the four scenarios shown above are common, and are good starting points for planning more complex ladder escape forks.

3nd row ladder

The situation for 3rd row ladders is largely similar to that of 2nd row ladders. Scenarios 1—3 work without much modification.

Scenario 1: In the most constrained scenario, Red can climb to the 5th row, potentially bridging to a stone on the 7th row.

Scenario 2: If Red has slightly more space, Red can climb to the 6th row, potentially bridging to a stone on the 8th row.

Scenario 3: If Red's 3rd row ladder comes with a switchback threat, Red can play a switchback fork and climb to the 7th row, potentially bridging to a stone on the 9th row.

Scenario 4: If Red has a switchback threat and significantly more space on the right, Red can climb all the way to the 8th row, potentially bridging to a stone on the 10th row. The cells marked "*" are not required to be empty.

Yielding: Yielding to the 2nd row does not help Blue in any of these scenarios. If Blue yields at the last possible moment in scenarios 1–4, Red can use a few extra moves to achieve the same outcome as without yielding, and actually require slightly less space. For example, this is how scenario 1 plays out if Blue yields:

If Blue tries to yield earlier in scenarios 1–3, Red can play, respectively, scenarios 2–4 for 2nd row ladders to achieve the same outcome, and does not even require the 3rd-to-5th row switchback threat. For example, this is how scenario 3 plays out if Blue yields early:

In scenario 4, if Blue yields any earlier than the second-to-last opportunity, Red can simply yield back to the 3rd row. The final and most interesting case is when Blue yields exactly at the second-to-last opportunity. In that case, after optionally invading Blue's bridge, the unique winning move is 3:

After this, there are several possibilities, depending on how Blue responds. The main line is as follows:

4th row and higher ladders

The situation for 4th row and higher ladders is essentially similar, provided that the attacker can guarantee that the pivot piece connects to the edge. For example, in the following situation, the pivot piece "1" is not connected to the edge, and Blue could foil by playing at "a":

However, if Red had, for example, one more piece at either of the locations marked "*" (or pretty much anywhere else near the bottom edge), then the pivot piece would be sufficiently connected for the fork to work in the same way as for 2nd or 3rd row ladders.