Logic Masters Deutschland e.V.

Parity Loop Quest #3

(Published on 2. July 2026, 16:58 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 Thermometers: Digits along a thermometer ascend from the bulb. If a cell on a thermometer is a loop cell, then every cell on that thermometer with a higher digit than it is also a loop cell.

Loop Summit Lines: Digits along a blue line must be ascending or descending, with 1 and 9 reversing the ascension/descension. A digit in a circle indicates how many loop cells are on the attached blue line.

Loop Dots: Cells separated by a white dot are either both loop cells, or neither are loop cells. 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 have the same loop rules, and visually identical elements have the same meaning).

Solution code: Column 3

Last changed on on 3. July 2026, 08:31

Solved by StefanSch, tryote, SKORP17, mathpesto, beansontoast_, Vodakhan , Berkals, sehringdipity, Starlight, amirs, onlainari, Piff, Franjo, Malakree, Gunkan, Snookerfan, dinonugs, hgfe, bansalsaab, lune, wuc, pmatos, tdunc, stranac, marajade, SirRookie, kehan628, akodi, sarabtx
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Comments

on 8. July 2026, 20:23 by wuc
The hardest of the series to me. But having solved others it was fair and very satisfying. Brilliant setting thx.

on 4. July 2026, 14:51 by Snookerfan
Very nice! The rules are weird, but lead to interesting logic. Solvers should try the other installments first to get used to some of the rules, I Guess. Thanks

on 3. July 2026, 00:17 by beansontoast_
4* for me, but extremely fun to solve

on 2. July 2026, 19:16 by StefanSch
Interesting logic!

Difficulty:4
Rating:89 %
Solved:29 times
Observed:0 times
ID:000TK1

Variant combination Path puzzle

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