How to Play Irregular Diagonal Sudoku

Combines jigsaw regions with main diagonal constraints

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The Rules

Standard Sudoku rules apply: fill every row, column, and 3×3 box with the digits 1–9, each appearing exactly once.

Irregular Diagonal Sudoku combines two variant types: the irregular jigsaw regions of Jigsaw Sudoku and the diagonal constraints of Diagonal Sudoku. Both main diagonals and all irregular regions must contain 1–9. The combination creates highly constrained puzzles with unique solving logic.

At a Glance

22–30
Typical givens
Combined: Irregular + Diagonal
Constraint type
~8m
Easy solve time
~18m
Medium solve time

How to Solve Irregular Diagonal Sudoku

Beginner
Map All 29 Units First
You have 9 rows + 9 columns + 9 irregular regions + 2 diagonals = 29 constraint units. Identify all irregular regions and both diagonals before starting.
Intermediate
Diagonal–Region Intersection
Cells on a diagonal that also sit in the same irregular region create a powerful two-unit intersection — use both constraints simultaneously.
Intermediate
Diagonal Pointing Pairs
If a digit on a diagonal is confined to one irregular region, eliminate it from all other cells of that region.
Advanced
Region Coloring for Diagonals
Trace which irregular regions each diagonal passes through. Regions with many diagonal cells are the most constrained.
Advanced
Chain Deduction Across Units
With 29 units, a forced digit in one unit often cascades through 3–4 other units. Track chains carefully to avoid errors.
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Common Questions

What is Irregular Diagonal Sudoku?

Irregular Diagonal Sudoku combines two variants: irregular jigsaw-shaped regions replace the standard 3×3 boxes, and both main diagonals of the 9×9 grid must each contain 1–9 exactly once. Cells on a diagonal therefore belong to four groups: row, column, jigsaw region, and diagonal. It is one of the most constraint-dense variants available.

How many constraint groups does a diagonal cell belong to?

A cell on one of the main diagonals belongs to four groups simultaneously: its row, its column, its jigsaw region, and its diagonal. The centre cell belongs to five groups — both diagonals, plus row, column, and region. This extreme constraint density makes every placement very powerful.

Is Irregular Diagonal Sudoku the hardest variant?

It is among the most constrained variants. The combination of irregular regions and diagonal constraints means almost every cell interacts with an unusually large portion of the grid. Expert puzzles in this variant are among the most demanding logic puzzles on the site.

What order should I tackle the constraints?

Start with the diagonals, since diagonal cells carry the most constraints. Find hidden singles on each diagonal first. Then scan the jigsaw regions, keeping diagonal eliminations active. Update all four constraint groups — row, column, region, diagonal — after every single placement.

Can I use standard Sudoku techniques?

Yes — all standard techniques apply. You simply treat each diagonal as an additional house alongside the nine rows, nine columns, and nine jigsaw regions. The diagonal pointing pair (where a digit in a diagonal is confined to one row or column) is a particularly powerful technique unique to diagonal variants.

How long does Irregular Diagonal Sudoku take to solve?

Easy puzzles take 10–20 minutes. Medium puzzles run 20–40 minutes. Hard puzzles average 40–75 minutes and expert puzzles often exceed 90 minutes. The combined constraint density means that even easy puzzles require tracking four constraint groups simultaneously.

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