9×9 · Medium to expert

Thermo Sudoku

Digits must strictly increase along each thermometer, starting from the rounded bulb end.

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About thermo

What thermo sudoku feels like.

Thermometer sudoku draws 'thermometers' across the grid — a rounded bulb with a line trailing from it. The digits along each thermometer must strictly increase as you move away from the bulb. Combined with normal sudoku rules, these ordered lines sharply limit which digits can go where.

Rules

  1. Standard sudoku rules apply: each digit 1–9 appears once per row, column, and 3×3 box.
  2. Each thermometer has a bulb (the rounded end) and a line of cells.
  3. Digits strictly increase along the thermometer, starting from the bulb.
  4. So the bulb holds the smallest digit on its thermometer, and each cell is larger than the last.

History

Thermo sudoku is one of the most popular modern variants, widely featured by online solving communities and variant competitions.

Key rule
Digits increase along each drawn thermometer, from the bulb
Difficulty range
Medium to expert
Tips
  • A thermometer of length n forces its bulb to be at most 10−n (a length-4 thermo starts at 6 or less).
  • The tip (far end) holds a large digit — often near 9 on longer thermometers.
  • Overlapping thermometers and boxes chain their constraints; follow them like a ladder.

Thermo Sudoku FAQ

What is thermo sudoku?

Thermo (thermometer) sudoku is a variant with drawn thermometers along which the digits must strictly increase from the bulb end. Normal sudoku rules also apply.

How do thermometers work in sudoku?

Each thermometer starts at a rounded bulb and the digits increase strictly along its line. The bulb is the smallest digit on that thermometer, and every following cell must be larger than the one before.

How do you solve thermo sudoku?

Use the length of each thermometer to bound its digits: the bulb of a length-n thermometer can be at most 10−n, and the tip is correspondingly large. Combine these bounds with standard sudoku scanning.

Is thermo sudoku hard?

It ranges from medium to expert. The ordering constraints are intuitive but powerful, making thermo puzzles both approachable and deep.