Parity Loop Quest #5
(Published on 4. July 2026, 18:24 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 Arrows: A digit on an arrow indicates how many loop cells are in the direction of the arrow, not counting the arrow cell.
Loop Entropic Lines: All but one cell on a peach line is a loop cell. Every 3 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 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.
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 use 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 Arrows: A digit on an arrow indicates how many loop cells are in the direction of the arrow, not counting the arrow cell.
Loop Entropic Lines: All but one cell on a peach line is a loop cell. Every 3 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 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.
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 use the same loop rules, and visually identical elements have the same meaning).
Solution code: Column 3
Solved by redgecko, efnenu, gdc, sehringdipity, Starlight, Vodakhan , tuberculosis, mathpesto, yellowseablue, japanoise_breakfast, Piff, amirs, kublai, SKORP17, beansontoast_, saiifh, Fenn, Snookerfan, TheGrand547, Malakree, sparkymanu, lune, lars, Shmartus, Gunkan, wuc, Bjd, pmatos, Tompzini, tdunc, marajade, stranac, kehan628, ZornsLemon, akodi, SirRookie, sarabtx, jordanza
Comments
on 8. July 2026, 18:24 by wuc
Another beautiful quest to battle. To me this was one of the most approachable. Great setting thx.
on 6. July 2026, 14:26 by Snookerfan
Excellent installment! These puzzles are really fun and clever. Thanks
