Irodoku — The Color Sudoku Without Digits
In Irodoku, nine colors take the place of the digits 1–9. Each row, column, and 3×3 box must contain all nine colors exactly once. The constraint structure is identical to standard Sudoku: 27 constraints, nine distinct symbols.
What changes is the experience. Without digits, you lose sequential reasoning ("1 comes before 2") and rely on pattern recognition instead. The puzzle isn't harder — it's a different cognitive mode.
Suirodoku — The 4th Constraint
Every cell contains both a digit (1–9) and a color (one of nine). Digits follow standard Sudoku rules. Colors follow the same rules independently. A global rule ties them together: each of the 81 digit-color pairs appears exactly once.
This is a Graeco-Latin square, a mathematical structure first studied by Euler in 1782.
| Rule | Irodoku | Suirodoku |
|---|---|---|
| Digits in cells | No | Yes (1–9) |
| Colors in cells | Yes (replace digits) | Yes (alongside digits) |
| Digit constraints (row/col/box) | — | Yes |
| Color constraints (row/col/box) | Yes | Yes |
| Global pair uniqueness | — | Yes (81 pairs) |
How Solving Differs
In Irodoku, you solve one constraint set with visual symbols. In Suirodoku, you solve two constraint sets that interact. Placing a digit can reveal a color, and vice versa.
This enables two techniques with no equivalent in Irodoku or classic Sudoku:
- Rainbow Technique — track one digit across all 9 colors to locate the missing pair.
- Chromatic Circle — track one color across all 9 digits to eliminate possibilities.
Both rely on global pair uniqueness. They can't work in Irodoku because there are no pairs — just single symbols. A structured training plan covers these techniques from easy to expert.
More constraints means more information per cell — which means more deductions at each step, not just more difficulty.