Logic Masters Deutschland e.V.

bougainvilliers bétacyanines

(Published on 19. September 2024, 04:44 by aqjhs)

  • Normal sudoku rules apply.
  • Cells one chess knight's move apart may not contain the same digit.
  • English Literal Lines: Any three consecutive cells along a magenta line must contain digits with different number of letters in their english name, i.e., one each from the sets {126}, {378} and {459}.
  • Digits joined by a black dot are in 1:2 ratio, and digits joined by a white dot are consecutive. Not all possible dots are given.

Online in Sudokupad

Hint: (highlight below)

The action of the symmetry of order two in the coloring for the classes {126}, {378} and {459} is either trivial or has only one fixed class.

Solution code: Row 7 followed by row 4

Last changed on on 13. January 2025, 21:14

Solved by annnz, finger, henrypijames, Briks, LeaVulpina, Bjd, SKORP17, han233ing, Dentones, zonka, paranoid, nikka240, Blake Saligia, strangelyinsane, itsid, lovely, Isael, Neokart
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Comments

on 13. January 2025, 21:14 by aqjhs
By Neokart's recommendation gave these lines the "Literal" moniker.

on 20. November 2024, 20:46 by aqjhs
since the intended break-in involves abstract group actions i added the math knowledge tag.

on 15. November 2024, 02:30 by itsid
I sprained my brain ... must rest

Last changed on 19. September 2024, 20:19

on 19. September 2024, 19:59 by LeaVulpina
Cool constraint that I haven't seen before! It took me a while to figure out where to start colouring and lettering. Tricky break-in, but once I found it, everything just fell into place. Very nice!

***

Got the idea for the digit partition from @IkeManga at the CTC discord server. They used it with thermometers where the number of letters increase as well as the digits themselves! and i thought it would make for an interesting disambiguation step for entropic lines.
Glad you liked it!

on 19. September 2024, 19:07 by Briks
Beautiful mind twister

on 19. September 2024, 18:55 by henrypijames
One of the hardest symmetrical coloring puzzle I've done.

Difficulty:5
Rating:81 %
Solved:18 times
Observed:4 times
ID:000JTS

Puzzle variant Math knowledge

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Solution code:

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