Pentomino Puzzle — free online puzzle game
3-30 min
Pentomino Puzzle

Pentomino Puzzle

Puzzle

Pack the twelve pentominoes — every shape five squares can make — into a box with no gaps and no overlaps, turning and flipping them until they fit.

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Pentomino Puzzle is the classic tiling puzzle, free in your browser. There are exactly twelve ways to join five squares edge to edge, named after the letters they look like — F, I, L, N, P, T, U, V, W, X, Y and Z — and the challenge is to pack them into a box so every square is covered exactly once. Drag a piece from the tray onto the board, turn it with a right-click or the turn button, flip it over, and drag it off again if it is wrong. The first five levels deal you three to eight pieces for a small box, drawn from a seed and each set proved to fit before you see it. Then come all twelve: the famous 6×10 box, 5×12, a staircase, Dana Scott’s 8×8 with a hole in the middle, a plus sign, and finally the 3×20 strip, which can only be packed two ways. A red square warns you when you have walled off a gap no piece can fill, and a hint places one piece of a real packing. No download, no account.

How to play Pentomino Puzzle

  1. Each level is a box and a tray of pieces. Every piece is a pentomino: five squares joined edge to edge.
  2. Drag a piece from the tray onto the board. It snaps to the squares, shows green where it fits and red where it does not.
  3. Turn the piece in your hand with a right-click, the Turn button or R. Flip it over with the Flip button or F. On a phone, tap a second finger while dragging to turn it.
  4. You can also tap a piece in the tray to pick it up, then tap the board to put it down there.
  5. Drag a piece already on the board to move it, or drop it off the board to send it back to the tray. Tapping it lifts it back into your hand.
  6. The box is packed when every piece is on the board and every square is covered exactly once.
  7. A square outlined in red is part of a gap that can never be filled — its size is not a multiple of five — so something nearby has to move.
  8. On a keyboard, Q and E choose a piece, the arrow keys move it, R turns and F flips it, and Enter puts it down or picks one up. Backspace lifts the piece under the cursor.
  9. The ? button places one piece of a real packing, lifting any pieces that cannot be part of one. Three per box: no hints is three stars, one hint is two.
  10. Undo steps back one move and Clear empties the box. On the first five levels, New Pieces deals a different set.

Tips

  • Start in a corner and along the edges. A piece in the middle of the box leaves awkward gaps on every side.
  • Place the awkward pieces early. The X fits in very few places — it can never touch an edge with its centre — and the long I is easiest along a wall.
  • Count the gaps. Any closed-off region has to be a multiple of five squares; a pocket of three or seven means a piece has to move.
  • Save the flexible pieces — L, N, P and Y, which come in eight orientations each — for the end, when you need something to fill a leftover shape.
  • On the long boxes, fill from one short end towards the other rather than scattering pieces along the length.
  • Stuck on a big box? A hint that lifts pieces is telling you those were wrong. It offers every piece back one at a time and keeps each one a packing still allows, so a wrong early piece does not take the right ones placed after it off too.
  • The 3×20 strip has only two packings, not counting turns and mirror images of the whole strip. If you get it without a hint, you have found one of them.

FAQ

Is Pentomino Puzzle free to play?

Yes. It runs in the browser with no download, no sign-up and nothing to buy. All thirteen levels are included and unlock as you pack each box.

What is a pentomino?

A shape made of five squares joined edge to edge. Counting turns and mirror images as the same shape, there are exactly twelve of them, usually named after letters they resemble: F, I, L, N, P, T, U, V, W, X, Y and Z. Solomon Golomb named them in 1953, and they have been a favourite puzzle ever since.

How many ways can the 6×10 box be packed?

2,339, not counting turns and mirror images of the whole box as different. The game's solver counts them in the tests, along with the other famous totals: 1,010 for 5×12, 368 for 4×15, 2 for 3×20, and 65 for the 8×8 with a 2×2 hole in the middle.

Can every level be solved?

Yes, and it is checked rather than assumed. Every box has been packed by an exact-cover solver, and on the first five levels, where the pieces are dealt from a seed, a set is only handed out once the solver has packed it.

Can I flip the pieces over?

Yes. Pentomino puzzles treat mirror images as the same piece, so every piece can be turned a quarter at a time and flipped over, whichever way the box needs it.

Which level is the hardest?

The last one. From level 6 on, every box takes all twelve pieces, and they are ordered by how many ways they can be packed, counting turns and mirror images separately. The first four have thousands; then come 1,472 for 4×15, 520 for the holed 8×8, 18 for the plus sign and 8 for the 3×20 strip. Fewer packings means fewer answers to stumble on.

What do the red squares mean?

They mark a closed-off gap whose size is not a multiple of five. Every piece covers five squares, so a gap of, say, three or seven can never be filled, and one of the pieces around it has to move. A gap of five or ten is not marked, even if no piece happens to fit it.

Does it work on a phone?

Yes. Drag pieces with a finger and tap a second finger while dragging to turn one, or tap a piece and then tap the board. The game rearranges itself to fit the screen, and on an upright phone it stands long boxes like 3×20 on end so the squares stay large.