The 4×4 sliding puzzle, also known as the “15-puzzle,” was invented in the 1870s and became a worldwide sensation. It’s considered the definitive sliding puzzle challenge that has inspired countless variations and mathematical studies.
Final Arrangement:

Objective: Move the tiles using the empty space until all numbers are in ascending order from left to right, top to bottom, with the empty space in the bottom-right corner.
Phase 1: Top Row (Tiles 1, 2, 3, 4)
Phase 2: Second Row (Tiles 5, 6, 7, 8)
Phase 3: Third Row (Tiles 9, 10, 11, 12)
Phase 4: Bottom Row (Tiles 13, 14, 15)
Resources
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The 8×8 sliding puzzle, known as the 63-puzzle, consists of sixty-three numbered tiles and one…
How to Solve a 7×7 Sliding Puzzle?
The 7×7 sliding puzzle, or 48-puzzle, comprises forty-eight numbered tiles and one blank space within…
How to Solve a 6×6 Sliding Puzzle?
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How to Solve 5×5 Sliding Puzzle?
The 5×5 sliding puzzle, or 24-puzzle, consists of twenty-four numbered tiles and one blank space…
How to Solve a 4×4 Sliding Puzzle?
The 4×4 sliding puzzle, known as the 15-puzzle, comprises fifteen numbered tiles and one blank…