Pentopia is an object placement puzzle where polyominoes must be located within the grid.
The objective is to add polyominoes to the grid, subject to the following rules:
- All given polyominoes in the key must be included in the grid with no others.
- Reflections are allowed unless the key shows polyominoes of opposing polarity. Rotations are always allowed.
- No two polyominoes are allowed to touch, even diagonally.
- Clue cells indicate the direction(s) of the nearest polyominoes in that row and column.
A standard 10x10 Pentopia and its solution.