A Nonogram is a logic puzzle played on a rectangular grid. Numbers beside each row and column describe groups of consecutive filled cells. By combining those clues, you determine which cells are filled and which are empty until the complete pattern is revealed.
The finished grid often forms a pixel-style picture, but the picture is not a clue you are supposed to guess. A Nonogram is solved from the row and column constraints.
The basic idea
Every row and every column has its own clue sequence.
A clue such as:
5
means that the line contains one block of exactly five consecutive filled cells.
A clue such as:
3 1
means that the line contains:
- a block of three filled cells;
- at least one empty cell after that block;
- then a block of one filled cell.
The clues tell you the length and order of the blocks, but not their exact positions.
Your job is to use the clues from both directions to find the only cell states that satisfy the puzzle.
What does a Nonogram grid contain?
A standard monochrome Nonogram has four basic structural elements:
- rows — horizontal lines of cells;
- columns — vertical lines of cells;
- clues — ordered numbers attached to each row and column;
- cells — positions that ultimately become filled or empty.
While solving, a cell can also remain unknown until the logic proves its final state.
The row clues are normally shown to the left of the grid. Column clues are normally shown above it.
The grid may be small, such as 5×5, or much larger. Grid size affects how much information you must track, but size alone does not determine difficulty.
What do the numbers mean?
Each number represents one block: a consecutive group of filled cells.
If a row has clue:
4
the final row contains exactly one four-cell block.
If it has:
2 3
the final row contains a two-cell block followed later by a three-cell block.
In a standard monochrome Nonogram, consecutive clue blocks must be separated by at least one empty cell. The blocks cannot touch and become one larger block.
The same rule applies to columns. A clue does not care whether you are reading horizontally or vertically; it describes a one-dimensional line of cells.
Why are both rows and columns necessary?
A clue usually does not identify one exact placement by itself.
For example, a clue of 3 in a line of 8 cells can fit in several positions. Looking at that row alone may leave many cells unresolved.
But every cell also belongs to a column. A deduction made in the row becomes new information for the column, and a deduction made in the column becomes new information for the row.
That repeated interaction is the central mechanism of Nonogram solving:
analyze a line → mark forced cells → use those marks in crossing lines → repeat.
This is why even simple clue rules can generate surprisingly deep puzzles.
Is a Nonogram a picture puzzle or a logic puzzle?
It is both in outcome, but logic comes first while solving.
The final arrangement of filled cells often makes a recognizable image. That visual reward is part of the appeal of the puzzle.
However, a sound deduction should be justified by the clues and current cell states, not by what you think the picture is becoming.
If an unfinished pattern resembles a cat, that does not prove that a nearby cell must be filled to complete an ear. The cell is filled only when the row and column constraints force it.
VeyraPlay therefore treats the hidden picture as the result of the solution, not as an extra source of information.
What happens to cells that are not filled?
Every cell in the completed puzzle has one of two final states:
- filled — the cell belongs to one of the clue blocks;
- empty — the cell belongs to no clue block in that row or column.
During solving, unresolved cells are unknown.
Many interfaces use an X or cross to show a confirmed empty cell. The X is only a visual mark; the logical state is simply empty.
Distinguishing empty from unknown is essential. An unmarked cell does not automatically mean empty.
A tiny example
Imagine a 5-cell row with clue:
5
There is only one possible arrangement:
■■■■■
All five cells are forced filled.
Now imagine a 5-cell row with clue:
1
The single filled cell could initially occupy any of the five positions. The clue is clear, but its position is not.
That contrast captures the basic challenge of Nonograms: the clues define exactly what must exist in each line, while logic determines where it can go.
Do Nonograms use math?
The clue numbers are counts, but solving a standard Nonogram does not require arithmetic in the way an arithmetic puzzle does.
You use quantities such as block lengths, available spaces, and minimum required spans. More advanced solving can be described with combinatorics and constraint reasoning, but a beginner can learn the puzzle with simple counting and logical elimination.
Are all Nonograms black and white?
This VeyraPlay vertical covers standard monochrome Nonograms: each solved cell is either filled or empty.
Color Nonograms are closely related, but their clue and adjacency rules introduce additional behavior. VeyraPlay treats Color Nonograms as a separate game and editorial vertical rather than as an advanced chapter of standard Nonograms.
Are Nonograms the same as Picross?
You may encounter closely related names such as Picross, Griddlers, Hanjie, and Paint by Numbers in different products, regions, and communities.
The naming history is more complicated than simply saying every label is identical. VeyraPlay uses Nonogram as the canonical generic term in this Guide collection and handles the naming differences separately in the Nonogram vs Picross guide.
What makes a good Nonogram puzzle?
A published logic puzzle should give you enough information to determine the intended solution without relying on the hidden image.
Many puzzle collections also aim for a unique solution, meaning only one completed grid satisfies all clues.
Uniqueness is a property of the complete clue set, not a separate row or column rule. It is possible to write clue sets that are ambiguous or inconsistent, which is why constructors and generators need validation.
FAQ
What is the goal of a Nonogram?
Determine which cells are filled and which are empty so every row and column matches its clue sequence. Completing those constraints usually reveals a picture.
What does a number in a Nonogram mean?
A number gives the length of one consecutive block of filled cells in that row or column.
What do several numbers mean?
They represent several filled blocks in that exact order. In a monochrome Nonogram, neighboring blocks must have at least one empty cell between them.
What does an X mean?
An X usually marks a cell that has been proven empty. It is a solving notation, not a third final cell type.
Can I solve a Nonogram by guessing the picture?
You might sometimes guess correctly, but that is not reliable logic. A proper deduction comes from the row and column constraints.
Are Nonograms always square?
No. They can be square or rectangular. Each row and column simply needs a clue sequence that describes its final filled blocks.
What to learn next
Learn the Nonogram Rules next. That guide turns the basic idea into the exact constraints every completed row and column must satisfy.