Comparison · Distant to Sudoku

Sudoku vs 15 Puzzle

15 Puzzle is also known as Sliding Puzzle, Fifteen Puzzle, Gem Puzzle

A 4×4 tray of fifteen numbered tiles and one empty space; you slide tiles into the gap to put them in order - a spatial sequencing puzzle, not a deduction.

Sudoku and 15 Puzzle are two of the puzzles people reach for most, so it's natural to wonder how alike they really are. The short answer: 15 Puzzle is distant to Sudoku. Below we lay out what the two share, where they part ways, and whether the skills you have built on Sudoku will carry over.

  • Grid: 4×4 sliding tiles
  • Closeness to Sudoku: Distant
  • Also called: Sliding Puzzle, Fifteen Puzzle, Gem Puzzle

What is 15 Puzzle?

A 4×4 tray of fifteen numbered tiles and one empty space; you slide tiles into the gap to put them in order - a spatial sequencing puzzle, not a deduction. Here are the rules in full:

  • Fifteen tiles numbered 1-15 sit in a 4×4 tray with one empty square.
  • A move slides any tile that is next to the gap into it; nothing is ever lifted out.
  • The goal is to reach 1-15 in order with the gap last - reached by a sequence of slides, not by reasoning.

What the 15 Puzzle looks like

Fifteen numbered tiles share a 4×4 tray with one empty square. You slide a tile next to the gap into it, over and over, to work the numbers into order. Below the puzzle is one move from done - slide the 15 left into the gap.

123456789101112131415

One move from solved: the 15 slides left into the empty square (grey) to finish the sequence 1-15. Every move is a slide, not a deduction.

That is the whole difference. The 15 puzzle is manoeuvring - planning a sequence of slides so you don't undo your own progress - while Sudoku is deduction. And a curious quirk: exactly half of all random scrambles of the 15 puzzle can't be solved at all, whereas a fair Sudoku always yields to logic.

What 15 Puzzle shares with Sudoku

  • Both are numbered-grid puzzles with a single, well-defined goal state.
  • Each rewards planning several moves ahead rather than shuffling at random.
  • Both have that satisfying, orderly finish and the same one-more-try pull.

How 15 Puzzle differs from Sudoku

  • The 15 puzzle is spatial manipulation - you rearrange tiles by sliding, you do not deduce anything.
  • There are no constraints to satisfy and nothing hidden to work out; it is about the order of moves.
  • By a parity quirk, exactly half of random scrambles are impossible to solve - a Sudoku is always solvable by logic.

Do Sudoku skills transfer?

The shared skill is planning a sequence - thinking a few slides ahead so you don't undo your own progress, much as you read a Sudoku a few steps deep. But the 15 puzzle asks you to <em>manoeuvre</em>, while Sudoku asks you to <em>deduce</em>.

The verdict

Both are tidy numbered-grid puzzles, but the 15 puzzle is spatial sliding - some scrambles unsolvable - while Sudoku is pure, always-solvable deduction.


Where to play it

If it was Sudoku you came for, the level is the choice that matters more than the variant - 15 Puzzle and Sudoku part ways on the rules, but a Sudoku grid can be a two-minute warm-up or an hour of work depending on nothing but how much of it you are given.

Difficulty and type are two separate dials here: the type sets the extra rule, the level sets how much of the grid you start with. Easy Sudoku leaves 36 of the 81 cells filled, so there is always an obvious next move somewhere; Evil Sudoku leaves 23, with no easy moves at all. Take it at the gentler end while the pattern is still new, and move up once it stops being a fight.

About Evil Sudoku

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