Repeater
(Published on 19. March 2022, 04:47 by mathpesto)
Here's a sequel to my previous repeating digits chaos construction. I decided to be less cruel this time and used a good old 9x9 grid :-) Feel free to post a hidden comment below if you'd like any help! Please be sure to check out my other puzzles here.
Rules:
Fill every cell in the grid with the digits 1–7 such that each digit appears at least once and at most twice per row, column, and region. Regions must be determined. A digit cannot touch itself orthogonally nor diagonally. All adjacent cells in the same region with consecutive digits have a white dot between them. All adjacent cells in different regions with digits in a 1:2 ratio have a black dot between them. (A region is a collection of orthogonally connected cells. Each cell belongs to exactly one region, regions may vary in size, and the number of regions must be determined.) (Adjacent cells can have consecutive digits without a white dot between them, so long as they’re in separate regions. Adjacent cells can be in a 1:2 ratio without a black dot, so long as they’re in the same region.)
Puzzle:
Solution code: Enter Columns 1 and 3 (18 digits, no spaces)
Comments
on 1. October 2023, 00:22 by StephenR
Very addictive, thanks. Constantly had to remember, check and double check that negative constraint.
on 12. January 2023, 23:08 by peacherwu2
Turns out much more convoluted than unique-digit puzzles. Very beautiful!
on 28. April 2022, 23:14 by mathpesto
Made rules more concise
on 2. April 2022, 00:45 by Bankey
What a beautiful puzzle. Very very tough, but impossible to get away from :). Got it right on the 3rd attempt. Thanks, @ mathpesto :)
on 31. March 2022, 23:12 by Mox
Took a few attempts, but way, way too enticing to drop it!! Thanks for the hours of fun, mathpesto.
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Glad you stuck with it and glad you enjoyed it! -mathpesto
on 28. March 2022, 15:43 by Tilberg
Very nice!
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Thank you! -mathpesto
on 25. March 2022, 11:49 by thefallenrat
Just finished this puzzle. All clues are correct, all regions, row, and columns followed the rules. Yet when I try to enter the solution. It doesnt accept my given answer. Can you help me whats wrong with it. I can give you a screenshot. Thanks!
Eh nevermind just found a mistake
This is actually a really great puzzle!
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Thanks so much, and glad you persisted! It's very easy to make mistakes with this one, including if you're the constructor ;-) -mathpesto
on 24. March 2022, 01:06 by moonsuckles
Holy moly
on 21. March 2022, 18:10 by h0_0man
really nice puzzle. not sure "hard" is the best way to describe it. nothing insane is required. solver "just" need to be patient and precise. i never felt stuck with the need to bifurcate.
on 21. March 2022, 15:46 by Tony
Amazing and brutal. Strongly recommended for a feature on CTC
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Thanks! That means a lot!
on 21. March 2022, 09:03 by marcmees
smaller digits not necessarily means easier puzzle. :-)
very nice one. thanks
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Thank you! -mathpesto
on 20. March 2022, 17:07 by Christounet
Wow, managed to break it twice, but very satisfying in the end ! Love these chaos construction puzzles ! Thanks.
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Thanks for sticking with it, and glad you enjoyed it!
on 20. March 2022, 10:05 by Mody
Die doppeltem Ziffern machen das Rätsel sehr reizvoll (wenn auch fehlerträchtig ;)
The double digits make the puzzle very appealing
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@Mody: Danke!
on 19. March 2022, 21:38 by tubahat
Q: Does a black dot across regions mean that those two digits can't be 1 and 2, because there *isn't* a white dot?
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@tubahat: Black and white dots can have 1/2 pairs. A white dot is when cells in the same region have consecutive digits, so the absence of a white dot is only helpful for preventing consecutive digits within a region, not between two regions. Similarly, the absence of a black dot is only helpful for preventing digits being in a 1:2 ratio between two regions, not within one regions. Hope that clarifies! -mathpesto
on 19. March 2022, 08:37 by kolot
These puzzles are fun. I enjoy them a lot.
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@kolot: Thanks!
