cyrebjr (cyrebjr) wrote,

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Tuesday Teaser #47: Snub Fillomino

Ah-kay. So Palmer Mebane was able to write half of Fillomino-Fillia 2 while helping with the 2013 MIT Mystery Hunt. I, in a word, wasn't. I'm sorta writing a puzzle that might get its answer changed, and I'm not progressing on others, so I can't help but feel I'm doing it wrong.

Anyway, here's an idea I got while procrastinating on everything else. This Fillomino variant is based on the snub square tiling, and while you're solving, the triangles count exactly the same as the squares.

More explicitly: write a number in each square or triangular cell so that, starting at any cell and traveling only by crossing edges, only to cells containing the same number, you are able to reach that number of cells total. Alternatively, you can just darken some edges to separate shapes, making sure all pairs of shapes with a dark edge between them have different numbers of cells.

Snub Fillomino
(Any ideas on a better title than Snub Fillomino?)
Tags: puzzle

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