Sliding Puzzle: 3×3 to 5×5

Slide the numbered tiles into order, with the gap ending in the bottom-right corner. Pick 3×3, 4×4 or 5×5, or take today’s 4×4 board. On 3×3 and 4×4 the game shows the fewest moves possible, and your result shows how far over it you went.

On this page

How to play Sliding Puzzle

The board holds numbered tiles and one empty gap. Slide tiles into the gap until the numbers run in order, row by row, with the gap in the bottom-right corner. The sizes are 3×3 (8 tiles, the 8 puzzle), 4×4 (15 tiles, the 15 puzzle) and 5×5 (24 tiles) (Wikipedia, checked 2026-11-02). You cannot lose.

Moves and controls

Two 3 by 3 boards. Before: the gap is at the left of the middle row and tile 5, at the right of that row, is ringed. After: tiles 4 and 5 have both slid one square left and the gap is at the right of the middle row.
Tapping 5 slides 4 and 5 one square left: 2 moves. Source: the game’s move rule, drawn on a board made up for this page.

The target

On 3×3 and 4×4 the line under the board reads “Optimal: N moves”, the fewest moves that board allows. Your result adds how many moves you went over. 5×5 shows no target.

Tips and strategy

On 4×4 and 5×5 the game’s section lights and its Hint follow this routine. On 3×3 the Hint comes from the solver (step 5).

  1. Look before your first move. The clock starts on your first move and pauses while the tab is hidden.
  2. Work from the top. Finish the top row, then the left column, then the next row, then the next column, until a 2×2 square is left. The game lights each stage (“Top row in place.”).
  3. Place the last two tiles of a row together. Put the second-to-last tile (3 in the top row) in the row’s final square and the last tile (4) directly under it. With the gap just left of the 3, slide the 3 left, then the 4 up. Turn it sideways for a column.
  4. Finish the last 2×2 by circling the gap. Keep your moves inside that block. The Hint (“Finish the last square”) rings the first move of the shortest way round inside it.
  5. Use the Hint for direction. On 3×3 it rings the first tile of a shortest solution. On 4×4 and 5×5 it rings the next tile in the order and outlines its square.
A finished 4 by 4 board with tiles shaded in five stages: 1 the top row, 2 the left column, 3 the rest of row 2, 4 the rest of column 2, 5 the last 2 by 2 square holding the gap.
The five stages on a 4×4 board. Source: the game’s section order, used by its lights and its Hint.

Our numbers

These come from the game’s code and its fairness tests, run on 29 October 2026 unless a line says otherwise. How we test explains how the solvers and checks are set up.

SizeWhere the board comes fromBest solution
3×3A random solvable board, dealt again unless its best solution takes 20 moves or more20 to 31
4×4A bank of 1,000 boards solved in advance: 400 for the Daily, 600 for Free play (also flipped along the diagonal, so 1,200)46 to 56
5×5A random solvable board, dealt again if more than 3 tiles start in placeNot shown

Daily puzzle and records

The Daily is always a 4×4 board from a list of 400. Everyone whose device shows the same date gets the same board. A new one starts at your local midnight, and #1 was 1 November 2026. The list starts again at #401 (6 December 2027) unless more boards are added. The Daily page covers what every game shares.

Frequently asked questions

Can a sliding puzzle be unsolvable, and how can I tell?

Yes. Half of all starting arrangements cannot be solved (Wikipedia, checked 2026-11-02). Read the tiles row by row, skip the gap, and count the pairs where a bigger number comes first. On 3×3 and 5×5 the board is solvable only if that count is even. On 4×4, add the gap’s row number (0 for the top row), and the total must be odd. This is the parity rule the game uses.

Left: the finished 3 by 3 board, with 0 pairs of tiles out of order, which is even, so it is solvable. Right: the same board with tiles 7 and 8 swapped, with 1 pair out of order, which is odd, so it is unsolvable.
Swapping 7 and 8 turns a solvable board into an unsolvable one. Source: the game’s parity rule.

When a shuffle here fails the rule, the game swaps the two highest-numbered tiles (7 and 8 on 3×3), which makes it solvable.

What is the most moves a sliding puzzle can need?

Counting single tiles, as this game does, 31 on 3×3 and 80 on 4×4 (Wikipedia, checked 2026-11-02). In our tests (29 October 2026), our solver finds exactly 31 for the 3×3 board 8 6 7 / 2 5 4 / 3 _ 1, with _ as the gap.

Is there an undo or restart button?

No. There is no Undo, restart or auto-solve. Sliding a tile back works but is another move.

Do hints affect my record?

Each press is counted and shown on your result. “Optimal solve”, “Within 1.5× optimal” and “Fastest 4×4 yet” are awarded only without hints. Your Best is recorded either way.

Last updated: November 2, 2026.