Square packing

Square packing puzzle online

Drag solid wooden squares — 1×1, 2×2, 3×3 and 4×4 — to fill every cell. 20 levels from a 2×2 warm-up to 8×6 boards with pegs, all checked solvable.

Square packing puzzle level 1

0/4

How to play the square packing puzzle

  1. Look at the board. Each level is a wooden board, sometimes with dark pegs that cannot be covered. Your tray holds solid squares whose areas add up to every free cell.
  2. Drag a square onto the board. Touch or click a piece and drag it over the board. A green outline shows where it will snap; red means it overlaps something.
  3. Turn if you like — squares look the same. Squares only have one look, so Turn and Flip do not change the silhouette. On a keyboard you can still press R or F; they simply leave the piece as it is.
  4. Move or take back pieces. Drag a placed piece to a new spot, or drag it off the board to return it to the tray. Undo steps back one move.
  5. Fill every square. The level is solved when every free cell is covered. Stuck? Hint places one correct piece for you.

The four wooden squares

1×1 square (S1)
S1 · 1×11 cells · 1 look
2×2 square (S2)
S2 · 2×24 cells · 1 look
3×3 square (S3)
S3 · 3×39 cells · 1 look
4×4 square (S4)
S4 · 4×416 cells · 1 look

Unlike trominoes or tetrominoes, every piece here is a solid square. Rotation does not create a new silhouette, so the challenge is choosing which size goes where — especially around pegs.

Four 2 by 2 squares filling a 4 by 4 board

Square packing strategy

  • Seat the largest squares first. A 4×4 or 3×3 locks a big region and shrinks the search.
  • After a big piece lands, count the remaining pockets — each must match a sum of square areas.
  • Pegs act as hard walls. Pack each pocket around a peg on its own before bridging across.
  • Save 1×1 tiles for leftover single cells; using them early often strands a 2×2.
  • Stuck? Hint places one piece that still leads to a full solution from the empty tray pieces.

All levels at a glance

Every level was generated from a random wooden board, then checked with the same Dancing Links search used for our tromino, tetromino and hexomino puzzles. Fewer solutions usually means a harder level; a “+” means counting stopped at a cap.

LevelBoardPegsPiecesSolutions
12 × 20S21
23 × 30S31
34 × 20S1 S1 S1 S1 S23
44 × 30S1 S1 S1 S1 S2 S24
54 × 40S1 S1 S1 S1 S2 S2 S28
65 × 30S1 S1 S1 S1 S1 S1 S1 S2 S211+
75 × 40S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S31+
85 × 51S1 S1 S1 S1 S1 S1 S1 S1 S41+
96 × 30S1 S1 S1 S1 S1 S2 S312
106 × 40S2 S2 S42
116 × 51S1 S1 S1 S1 S1 S2 S2 S45
126 × 60S1 S1 S1 S1 S1 S1 S2 S2 S2 S3 S316+
137 × 40S1 S1 S1 S2 S2 S2 S2 S36
147 × 51S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S2 S41+
158 × 40S1 S1 S1 S1 S1 S1 S1 S1 S2 S2 S41+
168 × 51S1 S1 S1 S1 S1 S1 S1 S1 S1 S2 S2 S2 S3 S31+
177 × 62S1 S1 S1 S1 S1 S1 S1 S1 S2 S2 S2 S2 S41+
188 × 60S1 S1 S1 S1 S1 S1 S1 S1 S2 S2 S4 S49+
198 × 54S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S2 S41+
208 × 63S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S1 S2 S3 S41+

More shape puzzles

Prefer bent 3-square pieces? Try the tromino puzzle. For four-square polyominoes see the tetromino puzzle, and for six the hexomino puzzle. The calm wood block puzzle and full 8×8 packing puzzle are also free.

FAQ

What is a square packing puzzle?

You fill a grid with solid squares of different sizes — here 1×1, 2×2, 3×3 and 4×4 wooden blocks — so every free cell is covered exactly once. Pegs on some boards stay empty forever.

How is this different from a tromino or tetromino puzzle?

Trominoes and tetrominoes are polyominoes with awkward shapes (bars, bends, T’s). This page uses only solid squares. The packing is still exact-cover, but every piece is an n×n block.

Is every level solvable?

Yes. All 20 levels were generated and then checked with an exact-cover (Dancing Links) search. We also counted how many different solutions each has (with a cap on large boards); the trickiest stored count is 1+.

Why do some levels have many 1×1 squares?

Small fillers plug the gaps left by larger blocks. Place the big squares first, then drop the 1×1 tiles into the remaining pockets.

Does it work on a phone or iPad?

Yes. Boards stay within 8 squares wide so cells stay large enough to tap. When you drag with a finger the piece floats just above your fingertip. You can also tap a piece and then tap a square.

Is my progress saved?

Yes, on this device only. Your current level, the pieces on the board and the levels you have solved are kept in your browser. No account is needed.

Is this square packing puzzle free to play online?

Yes. All levels, hints and undo are free in the browser—no download and no sign-up.