An entry in Fortnightly Topic Challenge #51: Non-rectangular grids.
This is a standard Tapa puzzle, on a non-standard Tapa grid...the "grid" is a Penrose tiling! Since the grid is not rectangular, we need to interpret the standard Tapa rules in this scenario. Your goal is to shade some of the tiles so that:
- The shaded tiles form a single orthogonally connected region.
- The given clues describe the pattern of shaded squares around each shape. There are a lot more possibilities than in a normal Tapa, but the only difference is that at each vertex of a tile there may be more than one tile diagonally connected to it.
- No interior vertex (vertex: place where two or more tiles meet; interior: not on the border of the figure) can have all of the tiles it adjoins be shaded. This is the analog of the "no shaded 2x2" rule for normal Tapa, and notice that this formulation also works for Tapa on a rectangular grid.
- Tiles containing clues cannot be shaded.
The picture above shows a "2 3" clue. The reddish tiles are shaded (different shades used to clearly distinguish the tiles), while the blueish tiles are unshaded. Empty tiles are not adjacent to the clue. As you walk around the boundary of the clued tile, you pass through a group of 3 shaded tiles, and then another group of 2 shaded tiles, and these groups are separated by at least one unshaded tile on either side.
I hope you enjoy!
(h/t https://github.com/sarahmarshy/PenroseGenerator for the code to generate the basic grid structure)