mutilated-board-untileable The mutilated chessboard admits no domino tiling

GOAL ESTABLISHED claim · research/mutilated-board-untileable.md

via route via-color-counting

Routes into this claim

• brute-force-enumeration INVALIDATED Claimed exhaustive enumeration of all partial tilings
• via-color-counting COMPLETE Color-counting argument

Statement

Remove two diagonally opposite corner squares from an 8×8 chessboard. The remaining 62 squares cannot be exactly covered by 31 non-overlapping 2×1 dominoes.