Tetromino Tiling

There are five ways to join four squares edge to edge, counting rotations and flips as the same. Use them to fill each board — but some boards can never be filled. Can you see why?

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How to play

  • Pick a piece, then tap the board to place it — or drag it there.
  • Use Rotate and Flip to turn it. Tapping the held piece again also rotates it.
  • Tap a placed piece to pick it up, or drag it somewhere else.
  • With a keyboard: focus the board, move with the arrow keys, R rotates, F flips, Enter places.
  • Depending on your screen, the board may be shown turned on its side — it’s the same puzzle.

Learn more

Tile the board with four-square pieces. Try the rectangle challenge, then explore the checkerboard to discover why it behaves differently. The search uses backtracking and can use two copies of each shape.

Read more about it: The story of tetrominoes →