Radical Rainbow
(Published on 24. October 2023, 12:58 by Jobo)
Hello, enjoy this puzzle!
All feedback and comments will be much appreciated!
This is a sequel to my original Square Roots, also inspired by rockratzero's derivative puzzle Radical Signage.
Do have a go and please leave a comment if you enjoy. :)
Rules:
- Normal sudoku rules apply.
- Digits in thick bordered squares must be equal to the square root of the 2-digit number read from top to bottom in the corresponding cage. All squares must contain a different digit.
Every square root sign also represents a different constraint.
- Parity line (red): Adjacent digits along the red line must alternate in parity (odd/even).
- Entropic line (peach): A set of three sequential cells along the peach line must contain a low [123], middle [456], and high [789] digit.
- German Whisper line (green): Adjacent digits along the green line must differ by at least 5.
- Renban (purple): Digits along the purple line are a set of consecutive, non-repeating digits in any order.
- Region Sum line (blue): Digits along the blue line sum to the same value in each 3x3 box the line passes through.
- Thermometer (grey): Digits along the thermometer must increase from the bulb to the tip, which can be on either end and are to be deduced.
Solution code: Row 1 followed by row 9.
Comments
on 11. November 2023, 16:48 by SDsign
Great puzzle! Took me quite a while since I’m still inexperienced, and I thought the rules were incomplete, but after much thought, I understood that the rules were fine and I just need more elbow grease. I’ve been following the radical puzzle thread between Jobo and rockratzero, and they’ve been great fun!
on 27. October 2023, 22:17 by thisbe
very rarely leave comments, but this was an incredible puzzle with a really fluid solve! thank you so much for sharing
on 27. October 2023, 00:17 by Hajuhn
great puzzle, i got very stuck for awhile cause I didn't read the rule about each square being different, but it clicked a lot easier when i did
on 26. October 2023, 06:22 by DetroitPiston
quite the masterpiece, loved the rule set
on 25. October 2023, 20:01 by ___
beautiful, elegant, totally rad, and no extraneous solutions. thanks Jobo!
on 25. October 2023, 17:43 by MonsieurTRISTE
Is it even solvable without assuming that the bulb must be on one of the thermometer’s endpoints?
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It is, the thermometer can be avoided altogether, but it makes for a much nicer solve path. Thanks for playing!
on 25. October 2023, 08:30 by marty_sears
Aesthetically and logically, this puzzle is fantastic. The elegance is sunning. A real improvement on the original square roots idea.
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Thanks so much for the nice comment, marty!
on 24. October 2023, 20:47 by Solved647
This one was a little bit tough for me, but very enjoyable once I realized a few "tricks" to the possible locations for the squares. Thanks
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Well done, Solved647, thanks for playing!
on 24. October 2023, 19:25 by sujoyku
Thank you for this gem of a puzzle, Jobo! I found it quite tricky, but whenever I got the next step it felt so forcing that I wondered why I did not see it immediately. :)
The concept of using all these different square roots each with its own line type is very creative and elegant. Thank you for setting and sharing!
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Thank you for the kind words, sujoyku!
on 24. October 2023, 19:13 by pecha_berrie
I loved everything about this puzzle!! Not too tricky and the logic flows seamlessly. And I love when people bring more math into sudoku puzzles ☺️
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Thanks, pecha_berrie! Glad you liked it.
on 24. October 2023, 16:29 by Jobo
Rule clarification.
on 24. October 2023, 14:53 by ViKingPrime
I had the privilege (and I mean privilege) of testing this and I immediately knew this was something special. Challenging without being oppressive; clean, straightforward logic; elegant layout; and a beautiful, innovative idea. Well worth anyone's time, new and experienced solvers alike.
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Thanks so much for the wonderful comment, ViKingPrime!
on 24. October 2023, 13:37 by Mad-Tyas
Remarkable that this puzzle exists with this clean design and no additional clues. And it also has a nice solve path :-)
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Hi Mad-Tyas, thanks for playing and the nice feedback. :)
