Puzzle Fuel

Twenty moves. One ladder.

Every sudoku solver works through a fixed set of patterns — singles to chains, easy to brutal. We walk each one in plain English, with a worked example on a small board, so you can pick the next rung on the ladder without leaving the page.

Play today's puzzle →Learn at Sudoku University →

Beginner

The moves you'll lean on every solve. Learn these first.

Naked single

Only one digit will fit in the cell.

Hidden single

A digit has only one home left inside its row, column, or box.

Intermediate

Elimination patterns that get medium and hard puzzles moving again.

Pointing line

When a digit's only homes inside a box all share a row or column.

Box-line reduction

The mirror move: a digit on a line is trapped inside one box.

Naked pair

Two cells in a unit hold the same two-digit candidate set.

Hidden pair

Two digits fit in only the same two cells, even when those cells look busy.

Naked triple

Three cells share a three-digit pool between them.

Hidden triple

Three digits share a three-cell pool between them.

Naked quad

Four cells share a four-digit pool between them.

Hidden quad

Four digits share a four-cell pool between them.

Advanced

Fish and wings — the rung where the puzzle stops giving you free moves.

X-Wing

A digit's homes in two rows form a 2×2 box across the same two columns.

Swordfish

Three rows confine a digit to three shared columns.

Skyscraper

Two rows hold a digit in two cells each, sharing one column.

Two-string kite

A row and a column tie into the same box, with two ends hanging out.

Empty rectangle

A digit's candidates inside a box collapse onto one row and one column.

Y-Wing

A pivot cell and two peer wings that pinch a common digit.

XYZ-Wing

Y-Wing's three-candidate-pivot cousin.

W-Wing

Two matching bivalues, tied together by a strong link on one digit.

Expert

Chain logic and uniqueness arguments — the heavy machinery for tough grids.

Simple coloring

Alternate-color a chain of strong links on one digit.

Unique rectangle

Don't paint the puzzle into having two solutions.