Singularis Alchemis
- Kropki dots
- XV and number dots
- Whisper lines
- Renban lines
- Slow thermometers
- Quadruples
The brief
Normal sudoku rules apply. Digits on a slow thermometer must never decrease from the bulb end. Digits on a green German whispers line must differ by at least 5. Digits inside a circle quadruple clue must be in the cells touching the quad circle. Digits on an arrowed line sum to the digits in the connected circle. Digits on a purple renban must be a set of consecutive digits in any order. Clues outside the grid give the sum of the digits in the given direction, digits may repeat if other rules allow. Cells separated by a V sum to 5. Cells separated by a black dot are a 1:2 ratio. Cells separated by a white dot are consecutive. No negative constraints.