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Kōnane (8×7 and 8×8)

Capture & board control · open problems · data

Open problem: Kōnane (8×7 and 8×8)

Section titled “Open problem: Kōnane (8×7 and 8×8)”
Status Smaller board solved
Solved so far All boards up to 7×7 weakly solved; all boards up to 6×6 strongly solved
Next target 8×7
Barrier compute: Proof-number search attempts at 8×7 and 8×8 were stopped at a 21-day limit and remain unsolved (Siefke 2025). Those attempts were forward search (PN², df-pn); a retrograde solve is a different method and has not been tried here.
Latest result Siefke 2025 (2025-11-10)
Last checked 2026-10-17
Record data/open/konane.yaml

Solution history

Section titled “Solution history”
Date Size or opening Result Strength Credit Source
2021 narrow boards (3×n, 4×n families) most narrow-board cases resolved; Triple (horizontal corner) and Quadruple (all but vertical middle) left open — Jos W. H. M. Uiterwijk source
2025-11-10 all boards up to 6×6 complete endgame database Strong Benedikt Siefke source
2025-11-10 all boards up to 7×7 solved Weak Benedikt Siefke source
2025-11-10 8×7 and 8×8 unsolved; runs stopped at the 21-day limit — Benedikt Siefke source

Superseded rows stay in the table.

References

Section titled “References”

Notes

Section titled “Notes”

Status read from the thesis title page and abstract on 2026-10-17. Whether the thesis, or later work, closes Uiterwijk’s open narrow-board cases (Triple and Quadruple) was not checked. The per-size winners are in the thesis body and are not copied here yet.