Pentomino
0:00Turn and flip the pieces to fill the board with no gaps.
How to play pentomino puzzles
- A pentomino is a shape made of five squares joined edge to edge. There are exactly 12 of them, named after the letters they look like: F, I, L, N, P, T, U, V, W, X, Y and Z.
- Fill the board completely with the pieces in the tray. You can turn the pieces and flip them over, but they can’t overlap.
- Drag a piece onto the board. You can also tap a piece to pick it, then tap a square on the board to put it there.
- Tap a picked piece again, or press “Rotate”, to turn it. “Flip” turns it over. On a computer, press R to rotate and F to flip, even while you drag.
- To take a piece off the board, drag it back to the tray, or tap its faded spot in the tray. Ctrl+Z (or “Undo”) takes back your last move.
- Stuck? “Hint” places one piece for you that leads to a solution. If a piece on the board makes the puzzle impossible, that piece is marked instead.
Levels and boards
- Easy puzzles use 4 pieces to fill a 4×5 box, Medium uses 6 pieces (5×6) and Hard uses 8 (5×8). Each time you get a different set of pieces, and every set has at least one solution.
- Expert uses all 12 pieces (60 squares). Pick the board from the menu at the top left: the classic 6×10 rectangle, 5×12, 4×15, the very hard 3×20, or an 8×8 square with a 2×2 hole in the middle.
- On Expert boards, the game keeps count of the different solutions you’ve found.
| Board | Solutions |
|---|---|
| 6×10 | 2,339 |
| 5×12 | 1,010 |
| 4×15 | 368 |
| 3×20 | 2 |
| 8×8 (2×2 hole in the middle) | 65 |
Solutions that are just the whole board turned or flipped over count as one. We checked every count with our own solver.
Example solutions
Pick a board below to reveal one of its solutions. Try solving it yourself first!
6×10
5×12
4×15
3×20 (both solutions)
8×8 (hole in the middle)
Tips for solving pentominoes
- Watch out for gaps. Every closed-off empty area needs a multiple of 5 squares. If you wall off 3 or 7 squares, no pieces can ever fill them.
- Fill the corners and edges first. Pieces with a square corner, like V, L, P, T and U, fit corners well.
- Find a place for the X early. It can never fill a corner, and it can’t sit right next to one either, because the corner square would be trapped.
- The long I piece lies along an edge of the board in 2,314 of the 2,339 solutions to 6×10.
Daily puzzles
- Each level has its own daily puzzle. Everyone gets the same puzzles, and new ones arrive once a day at midnight Japan time (15:00 UTC).
- The Expert daily puzzle is an 8×8 board with 4 squares blocked off, different every day.
- Solve the daily puzzle every day to build a streak.
About pentominoes
The mathematician Solomon W. Golomb coined the name “polyomino” in 1953, and Martin Gardner’s columns in Scientific American made pentomino puzzles famous. In 1958 Dana Scott used a computer to find all 65 ways to fill the 8×8 board with a hole in the middle, and in 1960 C. B. and Jenifer Haselgrove found the 2,339 solutions to the 6×10 rectangle.
Your puzzle is saved as you play, so you can close the page and pick up where you left off.