Normal sudoku rules apply. Digits along a thermometer must increase from the bulb end. Purple “renban” lines contain a non-repeating set of consecutive digits in any order. Gold “nabner” lines contain a non-repeating set of digits, and no two digits on the same line can be consecutive (regardless of their position on the line). Along orange “entropic” lines, every set of three adjacent cells must contain one low digit (1-3), one middle digit (4-6), and one high digit (7-9). Digits in cells separated by an X sum to 10. Digits in cells with a shaded square must be even.