Rubber Band
(Published on 22. July 2024, 17:37 by wuc)
This puzzle is greatly inspired by the loop puzzles by yttrio. My intention was to make it approachable, somewhere around 2 stars. Have fun and leave a comment.
Normal sudoku rules apply.
Draw a 1-cell wide loop of orthongonally connected cells in the grid. The loop can't touch itself, not even diagonally. Cells with circles, diamonds and squares all are part of the loop. Cells of the X-Dominoes may or may not be part of the loop.
- Digits in a circle count the number of horizontally AND vertically visible LOOP cells including itself. Non-loop-cells DO block the vision.
- Digits in a squars count the number of horizontally OR vertically visible LOOP cells including itself. Non-loop-cells DO NOT block the vision.
- Digits in a diamonds give the number of LOOP cells its 3x3 box.
X-Dominos: Cells separated by an X must sum to 10.Not all Xs and Vs are necessarily given (no negative constraint).
Additionally the loop acts as an entropic line: Any set of three sequential cells along an entropic line (usually peach in colour) must contain a low digit (123), a middle digit (456), and a high digit (789).
Solution code: Digits on row 4, with a '-' when jumping on or off the loop, e.g. "4-8-312-69-57".
Comments
on 23. July 2024, 19:21 by jhow25
Beautiful puzzle. It was much easier to solve, once I remembered the entropic rule.
on 23. July 2024, 05:48 by yttrio
I'm very honored to have been the inspiration for this puzzle, and this one gets my stamp of approval! Things flowed quite smoothly once my brain remembered what the words "and" and 'or" meant :)
on 22. July 2024, 20:42 by sujoyku
Thank you for this enjoyable loop puzzle, wuc! I had a hard time getting the "blocks vision/does not block vision" parts of the ruleset right. But once I got it, everything came together very nicely. Thank you for setting and sharing!
on 22. July 2024, 19:43 by Tinnifer
Beautiful puzzle! Nice and approachable, thank you :)
