Sudoku Glossary
The vocabulary of Sudoku, defined in plain language — with links to the techniques each term powers.
- Candidate
- A digit that could legally go in a cell given the current row, column and box constraints. Also called a pencil mark.
- Given (Clue)
- A digit printed in the puzzle at the start. Givens cannot be changed and define the unique solution.
- Unit
- Any group of cells that must contain each digit exactly once — a row, a column, or a box (and the diagonals in Sudoku X).
- Box
- A 3×3 region of a classic grid (2×3 in 6×6, 2×2 in 4×4) that must contain each digit once.
- Naked Single
- A cell with only one remaining candidate, which must therefore be its value. Learn more →
- Hidden Single
- A digit that can be placed in only one cell of a unit, even if that cell shows other candidates. Learn more →
- Bi-value Cell
- A cell with exactly two candidates. Bi-value cells are the building blocks of wings and chains. Learn more →
- Strong Link
- A unit in which a digit has exactly two candidate cells: if one is false the other must be true. The basis of coloring and chains. Learn more →
- Locked Candidate
- A digit confined to the intersection of a box and a line, enabling pointing-pair or box/line-reduction eliminations. Learn more →
- Fish
- A family of single-digit patterns (X-Wing, Swordfish, Jellyfish) defined over N rows and N columns. Learn more →
- Pencil Marks
- Small candidate notes written into a cell to track which digits remain possible. See Snyder notation for an efficient scheme. Learn more →
- Uniqueness
- The property that a valid puzzle has exactly one solution. Unique-rectangle and BUG techniques exploit it. Learn more →
- Conjugate Pair
- A unit in which a digit has exactly two candidate cells, so one of them must be that digit. Conjugate pairs are the strong links that colouring, skyscrapers and W-Wings are built from. Learn more →
- Pivot
- The hinge cell of a wing: in an XY-Wing it is the bi-value cell that sees both pincers; in an XYZ-Wing it carries three candidates and is also part of the elimination. Learn more →
- Pincer
- One of the two outer cells of a wing. Whichever value the pivot takes, one pincer is forced to a shared digit, eliminating it from cells the pincers both see. Learn more →
- Chain
- A sequence of cells linked by alternating strong and weak inferences. Following the chain forces a digit on or off at its ends, the basis of forcing chains and remote pairs. Learn more →
- Cross-hatching
- Scanning the rows and columns that already contain a digit to see which cell of a box is left for it — the fastest way to find hidden singles. Learn more →
- Naked Subset
- A group of N cells in a unit whose combined candidates total exactly N digits (pair, triple or quad), locking those digits out of the rest of the unit. Learn more →
- Hidden Subset
- N digits restricted to the same N cells of a unit (pair, triple or quad), so every other candidate can be erased from those cells. Learn more →
- Deadly Pattern
- A candidate arrangement that would allow two different solutions. Because a real puzzle is unique, such a pattern can never complete — uniqueness techniques eliminate the candidate that would create it. Learn more →
- Cage
- In Killer Sudoku, a dotted group of cells with a target sum. Its digits must add to the total and never repeat — the source of all killer-specific deductions.
- 45 Rule
- A Killer Sudoku tactic: since every row, column and box sums to 45, adding the cages in a region reveals a single leftover cell (an innie) or protruding cell (an outie).
- Region
- The nine-cell group that replaces the 3×3 box in Jigsaw Sudoku. It can be any connected shape, but like a box it must still contain 1–9 once.
- Diagonal
- In Sudoku X, each of the two main diagonals is an extra unit that must contain 1–9 once. The centre cell lies on both.
- Scanning
- Searching a unit or the whole grid for forced placements — usually for hidden singles by digit — before resorting to pencil marks or advanced techniques. Learn more →
- Elimination
- Removing a candidate from a cell because the logic rules it out. Most techniques beyond singles work by elimination, narrowing cells until a single remains. Learn more →