Puzzle 45 / Fillomino [No-Path]

As requested, a puzzle post! Straight from the WTF-variant department. Quite hard.

This is a Fillomino, with the additional constraint that for each polyomino, there must not exist a path (i.e. a sequence of cells, each orthogonally adjacent to the next) that includes each of the polyomino’s cells exactly once (and does not include cells outside the polyomino).

As a degenerate case, 1-ominoes are banned as well.

fillomino-no-path

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One thought on “Puzzle 45 / Fillomino [No-Path]

  1. Marvellous puzzle! Very difficult (as advertised), and an extremely satisfying solve – so much so that I went to the trouble of proving uniqueness once I’d found the solution. Thank you 🙂

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