Double Ambiguity
(Published on 3. October 2021, 05:51 by kolot)
I was thinking whether I can construct an ambiguity puzzle which makes use of all 7 sudoku variants that appear as lines on the grid. It worked out very nicely and I got this puzzle. I hope you enjoy it. Your comments and ratings are highly appreciated!
RULES: Normal sudoku rules apply. Each grey line obeys exactly 2 of the 7 rules listed below, and each rule is used on the grey lines at least once (i.e. one of them is used twice and the others are used once). The grey circle contains an odd digit.
1) Arrow rule: The digit on one end of the line is equal to the sum of the remaining digits on the line. Digits may repeat on these lines if allowed by the other rules.
2) Between line rule: The digits on the line (except for the endpoints) must be strictly between the digits on the endpoints. Digits may repeat on these lines if allowed by the other rules.
3) German whispers line rule: Adjacent digits along the line must have a difference of at least 5. Digits may repeat on these lines if allowed by the other rules.
4) Lockout line rule: Digits on the endpoints of the line must have a difference of at least 4, and the remaining digits on the line cannot be between or equal to the digits on the endpoints. Digits may repeat on these lines if allowed by the other rules.
5) Palindrome rule: Digits along the line read the same from either direction.
6) Renban line rule: The line contains a set of consecutive, non-repeating digits in any order.
7) Thermometer rule: Digits strictly increase from one end to the other end of the line.
Solution code: Row 9 followed by column 4.
Comments
on 28. April 2022, 14:42 by kolot
F-puzzles link is corrected.
on 28. April 2022, 14:35 by kolot
CTC app link is added, image has changed.
on 19. March 2022, 17:16 by Nordy
Very nice puzzle! So much to learn by wrestling with the lines. Definitely at least a 3 star difficulty for me, though.
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Thank you for the solve and the kind comment. Happy to see that you enjoyed it.
on 22. November 2021, 10:52 by Niverio
What a lovely puzzle! It is weird that I didn't notice this before today, especially considering that I have set a puzzle with a very similar ruleset (although way harder than this one). Most of the logic was very familiar to me, yet it was still very fun to make the deductions on the lines. Superbly executed kolot, ty for this elegant construction!
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Thank you Niverio, for solving this puzzle and for your kind comments! Happy to see that you enjoyed it. You may like my “3 Lines 7 Rules” puzzle as well which has a slightly different rule set.
on 6. October 2021, 18:34 by kolot
Bold font is used at a few places in the explanation.
on 4. October 2021, 21:20 by kaitoJD
Excellent puzzle!
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Thank you!
on 3. October 2021, 06:32 by kolot
Adjusted difficulty.
