Rook endgame where White has a positional or material advantage — connected rooks, dominant king, or passed pawn supported by the rook.

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

SAE concept sae_31294 fires when rook endgame where White has a positional or material advantage — connected rooks, dominant king, or passed pawn supported by the rook.. It appears in 8 of 9,950 Climbchess puzzles (0.1%), spanning ELO 796–2491 (median 1758).

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This page documents Rook endgame where White has a positional or…, 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:

Rook endgame where White has a positional or material advantage — connected rooks, dominant king, or passed pawn supported by the rook.

This pattern fires in 8 of our 9,950 tagged puzzles. The puzzles where it appears span ELO 796 to 2491, with a median rating of 1758. 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:

• Black king in an open, active position with no immediate white attackers… — similarity 0.273
• Active White rook threatening a decisive intrusion — 7th rank penetration or… — similarity 0.250
• Detects an active king in an endgame, often engaged in king opposition or… — similarity 0.188
• Black rook in an active endgame position, often supporting a skewer or… — similarity 0.154
• Black rook actively placed in the opponent's half or mid-board, creating a… — similarity 0.091

Example puzzles

Below are 8 puzzles spanning the rating distribution. Each links to its own page with full move list and related concepts.

• Puzzle y9L7e — ELO 796, themes: deflection, endgame, mate, side to move: White
• Puzzle y9L7e_F — ELO 796, themes: deflection, endgame, mate, side to move: Black
• Puzzle y9L7e_M — ELO 796, themes: deflection, endgame, mate, side to move: White
• Puzzle zwd4v — ELO 1758, themes: endgame, epauletteMate, master, side to move: White
• Puzzle zwd4v_F — ELO 1758, themes: endgame, epauletteMate, master, side to move: Black
• Puzzle zwd4v_M — ELO 1758, themes: endgame, epauletteMate, master, side to move: White
• Puzzle zH5Jv — ELO 2491, themes: endgame, long, mate, side to move: White
• Puzzle zH5Jv_F — ELO 2491, themes: endgame, long, mate, 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).