BUILD THE FOUNDATION

Understand how Sudoku works.

Learn the structure, rules, and logic that turn a grid of numbers into a solvable puzzle.

THE BIG IDEA

Sudoku is a logic puzzle, not a guessing game.

Every empty cell has a set of possible numbers, also known as notes, candidates, potentials, possiblities, etc. The rules of the puzzle let you eliminate possibilities until one and only one number can be placed with certainty.

The goal isn't to find a number that looks right. The goal is to understand why every other possibility is impossible.

01 · THE GRID

Start with 81 cells.

A standard Sudoku has a 9×9 grid divided into 9 rows, 9 columns, or nine 3×3 boxes.

Sudoku grid showing the structure of rows, columns, and 3×3 boxes
9

Rows

Each row must contain the numbers 1 through 9 exactly once.

9

Columns

Each column must contain the numbers 1 through 9 exactly once.

9

Boxes

Each 3×3 box must contain the numbers 1 through 9 exactly once.

02 · THE THREE RULES

That's the whole rulebook.

Everything you do while solving Sudoku comes back to these three constraints.

01

One through nine in every row.

No number can appear twice in the same row.

02

One through nine in every column.

No number can appear twice in the same column.

03

One through nine in every box.

No number can appear twice inside a 3×3 box.

03 · THE LANGUAGE

Meet the house.

In Sudoku, a house, also known as a unit, is any row, column, or 3×3 box.

Sudoku grid illustrating a cell and its row, column, and 3×3 box

A cell belongs to exactly three houses: one row, one column, and one box. Those three houses are the places that constrain what can go into that cell.

ROWCOLUMNBOX

This simple idea becomes the foundation for almost every solving technique.

04 · CANDIDATES

Every empty cell has possibilities.

Before a cell is solved, we can track the numbers that are still allowed for that cell.

3?41
→
6?
→
6!
01

Start with every number from 1–9.

02

Use the cell's row, column, and box to eliminate numbers that already appear.

03

If only one candidate remains, the cell is solved.

05 · LOGICAL DEDUCTION

Don't ask “what fits?”
Ask “what's impossible?”

Sudoku solving is the process of removing possibilities. Every elimination gives you more information about what must be true.

ROW3, 4, 9, 7already used
COLUMN2, 5, 8already used
BOX1, 3, 4already used
Remaining candidates6

WHAT COMES NEXT

Now learn the techniques.

You know the grid. You know the rules. You understand candidates and logical deduction. Now it's time to put that knowledge to work.

Explore Techniques →