Ring of Kropki dots
(Eingestellt am 8. Dezember 2024, 15:44 Uhr von egubachu)
Regeln
- Sudoku: Tragen Sie die Ziffern 1 bis 9 so ein, dass sie in jeder Reihe, Spalte und Box jeweils einmal vorkommen.
- Kropki-Punkte: Ziffern, die durch einen schwarzen Punkt getrennt sind, müssen im Verhältnis 1:2 stehen. Ziffern, die durch einen weißen Punkt getrennt sind, müssen aufeinanderfolgend sein.
Online lösen
Ein verwandtes Rätsel ohne Lösung
Im Zusammenhang mit dem eigentlichen Rätsel habe ich auch ein "Ohne-Lösung"-Rätsel erstellt, das eine ähnliche Anordnung schwarzer Kropki-Punkte aufweist. Bei Ohne-Lösung-Rätseln besteht Ihre Aufgabe darin, zu beweisen, dass es keine Lösung für eine gegebene Anordnung von Einschränkungen geben kann. Klicken Sie auf das Bild, um es auf Sudokupad auszuprobieren.
Danke
Vielen Dank an sujoyku für das wertvolle Feedback während des Testens!
Auf YouTube ansehen
Vielen Dank an Crusader Puzzle dafür, dass er den Ring aus Kropki-Punkten auf seinem YouTube-Kanal (auf Indonesisch) vorgestellt hat! Hier ansehen!
Lösungscode: Zeile 6
Kommentare
am 5. Februar 2025, 08:40 Uhr von Crusader175
Brilliant puzzle and thank you for the shout-out!
am 17. Dezember 2024, 16:54 Uhr von puzzlepandit
Nice construction. Other than maths, I have to use almost every trick that is there in sudoku.
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Thank you so much for your nice compliment puzzlepandit! I had good fun with all this trickery wile setting this puzzle:)
am 10. Dezember 2024, 18:30 Uhr von Norkas
Very cool and inventive pure Kropki. There was a lot more to this one than one might expect at first glance.
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Thank you so much Norkas! I'm so glad you appreciated my Kropki puzzle! I've been meaning to set a pure Kropki puzzle for a while, and had some good inspiration this time!
am 10. Dezember 2024, 04:49 Uhr von skuntsel
Perfect setting! The flow of logic back and forth around the grid is simply amazing. A very delicate setting, something that doesn’t matter much initially plays a significant role later on. Center box logic is especially satisfying.
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Thank you for the great compliment skuntsel! I saw that central cell logic and knew I had to go for it!
am 9. Dezember 2024, 23:38 Uhr von mihel111
Lovely break in and fluent solve after that.
Very good work, Egubachu.
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Thank you so much mihel! I'm glad you liked my puzzle!
am 9. Dezember 2024, 23:03 Uhr von Chaka
Oh yes! It seemed to be a simple ruleset at first glance but turned out to be just brillantly set! Thank you so much for sharing this with us, egubachu!
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Thank you so much for the wonderful compliment Chaka! Setting this puzzle was lots of fun! At first I set out with the arrangement of black dots, with the goal of letting beginners explore logic around the Phistomefel ring, without them having to know about the Phistomefel ring or how to prove the set equivalence. The ring just emerges for you. But then beautiful logic emerged for me! The puzzle still doesn't require you to use the set equivalence of the Phisomefel ring, but I decided to keep the logic around the ring and go for a 3* puzzle with the cool logic.
am 9. Dezember 2024, 13:33 Uhr von moHa
Lovely puzzle! Quite hard for me personally but i really enjoyed it! Thank you for constructing this
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Congratulations on the solve moHa! It's definitely not an easy puzzle, featuring some unusual logic for a pure Kropki dot puzzle. I'm so happy that you loved it so much!
am 9. Dezember 2024, 09:01 Uhr von Snookerfan
Gorgeous setting! Thank you
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Thank you so much Snookerfan! I'm so happy that you enjoyed my puzzle!
am 9. Dezember 2024, 08:33 Uhr von Srinidhi Kabra
Wonderful puzzle! Loved the geometric discoveries along the way. A nice lesson in how asymmetry leads you to solutions!
There's also an easy way to understand why the no solutions puzzle or in fact any puzzle with complete symmetry wouldn't have a unique solution. We can enter whatever digits we want, and rotate it by 180 degrees. And we will get another valid solution, but this time, the row 5 would be flipped! Thus giving us at least two solutions (note that the row 5 cannot be palindromic as that would violate sudoku rules)
am 9. Dezember 2024, 03:52 Uhr von JDP678
Absolutely gorgeous puzzle - loved it!
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Thank you so much JDP678! I'm thrilled that you loved my puzzle so much!
am 8. Dezember 2024, 23:39 Uhr von SamuPiano
Cool geometry!
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Thank you so much SamuPiano! I'm happy that you liked the journey around the grid with the deductions!
am 8. Dezember 2024, 21:52 Uhr von antiknight
Great construction!
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Thank you so much antiknight! I'm so happy that you appreciate the setting!
am 8. Dezember 2024, 21:22 Uhr von Myxo
Beautiful!
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Thank you so much Myxo! I'm thrilled that you loved my puzzle!
am 8. Dezember 2024, 21:01 Uhr von ademjaz
Lovely!
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Thank you so much ademjaz! I'm so happy that you enjoyed the puzzle!
am 8. Dezember 2024, 20:57 Uhr von PinkNickels
I am shocked at how good this puzzle is! What tremendous setting talent
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Thank you so much for your wonderful comment PinkNickels! You're making my day!!
am 8. Dezember 2024, 19:26 Uhr von Killer-Ly
Beautiful logic. Loved it!
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Thank you so much for your wonderful comment, Killer-ly! I'm so happy that you appreciate my puzzle so much!
am 8. Dezember 2024, 17:59 Uhr von sujoyku
Very nice and quite tricky puzzle. Thank you for setting and sharing, egubachu!
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Thanks so much for your comment and for your very helpful testing sujoyku!
am 8. Dezember 2024, 17:58 Uhr von AnomanderKarsa
ﹰﹰvery nice
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Thank you so much AnomanderKarsa!
