Parity Loop Quest #2
(Published on 28. June 2026, 10:12 by Vythic)
Play on SudokuPad!
Normal sudoku rules apply.
Parity Pivot Loop: Form a one cell wide loop that moves through the grid orthogonally. The loop does not touch itself, not even diagonally.
A loop cell is an odd digit if the loop moves straight through it, and is an even digit if the loop does a 90 degree turn at its location.
Loop Entropic Lines: All but one cell on a peach line is a loop cell. Every three consecutive cells along a peach line contains a low digit {1, 2, 3}, medium digit {4, 5, 6}, and high digit {7, 8, 9}.
Loop Thermometers: Digits along a thermometer ascend from the bulb. If a cell on a thermometer is a loop cell, then all cells on that thermometer that are greater than it are also loop cells.
Loop Dots: Cells separated by a black or white dot are either both loop cells, or neither are loop cells. Digits separated by a black dot have a 1:2 ratio. Digits separated by a white dot are consecutive.
Loop Cages: The sum of digits in a cage is equal to how many odd loop cells are in the grid.
Example of a valid loop shape (the white cells inside the loop cannot be cut off from each other, and a 2x2 block of cells cannot all be loop cells):
(Puzzles throughout this series have the same loop rules, and visually identical elements have the same meaning).
Normal sudoku rules apply.
Parity Pivot Loop: Form a one cell wide loop that moves through the grid orthogonally. The loop does not touch itself, not even diagonally.
A loop cell is an odd digit if the loop moves straight through it, and is an even digit if the loop does a 90 degree turn at its location.
Loop Entropic Lines: All but one cell on a peach line is a loop cell. Every three consecutive cells along a peach line contains a low digit {1, 2, 3}, medium digit {4, 5, 6}, and high digit {7, 8, 9}.
Loop Thermometers: Digits along a thermometer ascend from the bulb. If a cell on a thermometer is a loop cell, then all cells on that thermometer that are greater than it are also loop cells.
Loop Dots: Cells separated by a black or white dot are either both loop cells, or neither are loop cells. Digits separated by a black dot have a 1:2 ratio. Digits separated by a white dot are consecutive.
Loop Cages: The sum of digits in a cage is equal to how many odd loop cells are in the grid.
Example of a valid loop shape (the white cells inside the loop cannot be cut off from each other, and a 2x2 block of cells cannot all be loop cells):
(Puzzles throughout this series have the same loop rules, and visually identical elements have the same meaning).
Solution code: Column 3
Last changed on on 3. July 2026, 20:34
Solved by amirs, Vodakhan , Reisen, Chaossudokusplease, efnenu, Snookerfan, benvegmond, SKORP17, mathpesto, sehringdipity, salsais, Gilliatt, palpot, Exigus, QuiltyAsCharged, Malakree, Gunkan, mscha, caden83, SirRookie, wuc, Shmartus, lune, pmatos, tdunc, Tompzini, stranac, akodi, marajade, ly_ra17, meiwanmeiliao, kehan628, karen_birgitta, sarabtx
Comments
on 8. July 2026, 13:37 by wuc
Awesome puzzle. Great rule interactions. Thx for sharing. On to the other quests!
on 2. July 2026, 15:35 by mscha
Whew! This was a lot more difficult (for me) than #1. Five stars.
on 28. June 2026, 15:46 by Snookerfan
Great puzzle! I really liked the break-in and the loop building a lot. The clue about the number of odd loop cells was a cherry on top of this present. Thanks!
