Pawn endgame with king opposition where a central or passed pawn structure determines the outcome.

By Climbchess Research · 2026-05-08 · 3 min read · Updated May 8, 2026

SAE concept sae_2188 fires when pawn endgame with king opposition where a central or passed pawn structure determines the outcome.. It appears in 7 of 9,950 Climbchess puzzles (0.1%), spanning ELO 1004–1741 (median 1574).

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This page documents Pawn endgame with king opposition where a…, one of 4,505 interpretable chess concepts extracted from Leela Chess Zero via sparse autoencoders. The full feature description from our SAE labelling pipeline reads:

Pawn endgame with king opposition where a central or passed pawn structure determines the outcome.

This pattern fires in 7 of our 9,950 tagged puzzles. The puzzles where it appears span ELO 1004 to 1741, with a median rating of 1574. That distribution tells you whether this is a beginner cue or a master-level subtlety.

Pattern statistics

Related concepts

The five concepts most often co-firing alongside this one (Jaccard similarity over the puzzle co-occurrence graph) are:

• King opposition or king centralisation in a pawn endgame, where the active… — similarity 0.250
• A pawn endgame where key square control or zugzwang determines the outcome. — similarity 0.150
• Detects a white pawn on the 2nd rank that can advance to the 3rd rank, where… — similarity 0.143
• A square in the central pawn structure attacked by Black with no White… — similarity 0.060
• King actively centralised or advancing toward a critical square in a… — similarity 0.031

Example puzzles

Below are 7 puzzles spanning the rating distribution. Each links to its own page with full move list and related concepts.

• Puzzle zxAbw — ELO 1004, themes: advantage, endgame, long, side to move: Black
• Puzzle zxAbw_F — ELO 1004, themes: advantage, endgame, long, side to move: White
• Puzzle zxAbw_M — ELO 1004, themes: advantage, endgame, long, side to move: Black
• Puzzle 00k2Z_M — ELO 1574, themes: endgame, mate, mateIn2, side to move: White
• Puzzle zxSVI — ELO 1741, themes: crushing, endgame, master, side to move: Black
• Puzzle zxSVI_F — ELO 1741, themes: crushing, endgame, master, side to move: White
• Puzzle zxSVI_M — ELO 1741, themes: crushing, endgame, master, side to move: Black

How to use this page

If you want to train this pattern, open the Climbchess trainer and filter for puzzles tagged with this concept. The trainer surfaces them at the right difficulty for your current rating, and tracks how often you spot the cue versus miss it. You can also browse the related concepts above to see neighbouring ideas in feature space.

Climbchess concepts are not heuristics written by a human author. Each one corresponds to a single direction in the residual stream of Leela Chess Zero that activates on a specific board feature, then was labelled by reading the top-activating positions. This makes the catalogue exhaustive (every Leela-detectable pattern is in here somewhere) and falsifiable (you can replay our extraction).