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

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