Tenkropki (with Calvinball)
(Published on 12. March 2025, 17:43 by sujoyku)
The idea for this puzzle got inspiration from Hyperextension by ChinStrap and MSDOS who introduced the wonderful Tentropy Lines constraint. Similar to Entropic Lines, these have different groups that have to repeat with a certain periodicity along the line. (For more details, see the rules below.) Calvinball had the idea of adding Kropki into the mix and here we are. We like to thank all testers and wish you joyful solving!
- Normal Sudoku rules apply, i.e. each row, column and 3x3 region has to contain the digits from 1 to 9 once each.
- Kropki: Digits joined by a black dot are in a 1:2 ratio. Digits joined by a white dot are consecutive. (Not all dots are shown.)
- Tentropy Lines: Every set of 4 adjacent digits on a peach line must contain a digit from each of the X-pair (ten-pair) subsets of {1,9}, {2,8}, {3,7}, and {4,6}. A 5 may not appear on a tentropy line. Digits on a line may repeat if allowed by other rules.
Example: A valid Tentropy Line could read 18369276.
Here you can solve the puzzle online:
Solution code: Column 9 from top to bottom (9 digits in total)
Comments
on 16. April 2025, 00:21 by Lenivaya_Joppa
Thank you for this very nice puzzle, dear sujoyku and Calvinball! :)
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Thank you for your comment, Lenivaya_Joppa! We are glad you enjoyed the solve.
Kind regards, sujoyku
on 15. March 2025, 00:07 by Clementi
Lovely puzzle. Any time I get to colour in all the squares in bright colors is a good time, so this one really mage made my day.
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Thank you for your comment, Clementi! We are glad you had a fun and colourful solve.
Kind regards, sujoyku
on 13. March 2025, 21:59 by Fra314
Original and very well constructed and also super fun. Couldn't ask for more!
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Thank you for your comment, Fra314! We are glad you had a fun solve.
Kind regards, sujoyku
on 13. March 2025, 13:57 by AnebodaSlatorp
Fun and clever
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Thank you for your comment, AnebodaSlatorp! We are glad you enjoyed it.
Kind regards, sujoyku
on 13. March 2025, 00:19 by Snaques
Very fun puzzle with kropkis and the lines working nicely together.
At first glance I wasn't in awe, but am so glad I gave it a chance. Nicely done sujoyku!
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Thank you for your comment, Snaques! Calvinball and I are glad you had a fun solve.
Kind regards, sujoyku
on 12. March 2025, 22:38 by Fisherman
Excellent work. What are we going to do about pentaphobia? Maybe a line that must have it.
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Thank you for your comment, Fisherman! We are glad you liked the puzzle.
Kind regards, sujoyku
on 12. March 2025, 20:57 by MSDOS
Beautiful construction! This was a pleasure to solve. Loved the interactions between the black dots and the lines!
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Thank you for your comment, MSDOS! Since it was you and ChinStrap who inspired us to set this puzzle, it is great to hear that you liked it.
Kind regards, sujoyku
on 12. March 2025, 20:20 by TheKyoshiroFan
This was a delight to solve and it turned out very colorful in the end :D Never did "Tentropy Lines" before so it was a new experience for me.
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Thank you for your comment, TheKyoshiroFan! We are glad you enjoyed the colourful experience. :)
Please check out Matt's and ChinStrap's tentropy puzzles as well. Those are awesome!
Kind regards, sujoyku
on 12. March 2025, 19:46 by nunc
Thanks for sharing this original puzzle. I liked the flow of it very much. Yes, I agree: approachable.
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You are much welcome, nunc, thank you for your comment! We are glad you liked the puzzle's flow and agreed with it being approachable.
Kind regards, sujoyku
on 12. March 2025, 18:06 by Calvinball
It was a pleasure doing business with you sujoyku. I've learned quite a bit playing puzzles with someone as experienced and thoughtful as yourself. Let's do it again sometime!
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Definitely! I am looking forward to setting more puzzles with you in the future. :)
Kind regards, sujoyku
on 12. March 2025, 17:51 by ChinStrap
Great approachable introduction to tentropy lines. Loved the opening through to the end.
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Thank you for your comment, ChinStrap! We are glad that you liked the puzzle and found it to be approachable.
Kind regards, sujoyku
