Græco-Latin Sudoku
(Published on 17. April 2021, 13:24 by Arlo Lipof)
Idea:
Recently I was reading about Euler’s famous 36 officers problem and Græco-Latin squares – a.k.a. Euler squares – and it suddenly struck me that it might be possible to fit two Sudoku puzzles into a single grid, in such a way that every cell would be unique with respect to both Sudokus. I used the 9 digits for one Sudoku, and the 9 colours (aside from white, black and light yellow) available in the F-Puzzles software for the other one. I really hope you’ll appreciate the beautiful logic of intertwined Sudokus!
Rules:
- The following Sudoku grid is a Græco-Latin square of order 9 over two sets D and C:
D = {1;2;3;4;5;6;7;8;9}
C = {⬤;⬤;⬤;⬤;⬤;⬤;⬤;⬤;⬤} - Each cell of the grid contains an ordered pair (d;c), where d∈D and c∈C, such that every row, every column and every 3x3-box contains each element of D and each element of C exactly once, and that no two cells contain the same ordered pair, i.e. every digit-colour combination is unique in this grid.
Link: F-Puzzles
Solution code entry:
The solution code has the format digit-colour-digit-colour... where the colour is described by its position in the set C given earlier (⬤ = 1, ⬤ = 2 etc.). For example, if this was the start of the solution row:
Solution code: Row 8 (18-digit string without spaces)
Comments
on 5. August 2021, 14:27 by uvo_mod
Labels "Online Solving Tool" und "Rätselvariante" ergänzt, NEU entfernt.
on 19. April 2021, 18:17 by Arlo Lipof
@Nairi: Why so low?
on 19. April 2021, 13:43 by nearestneighbour
Amazing puzzle!
A: Thank you very much!
on 19. April 2021, 03:37 by elpadrinoIV
Not that easy for colorblinds!! Still fun!
A: Thank you, and sorry for the inconvenience.
on 17. April 2021, 22:50 by Rollo
Schöne Idee. @Arlo Lipof: schau dir mal 000010 und 000012 (Orthogonales Sudoku) an, das ist wohl dasselbe. Das zweite hat lange niemand geschafft und mir war es auch zu schwierig. Mal sehen, ob ich hier rangehe ;-).
A: Tatsächlich, diese beiden Rätsel basieren auf der gleichen Idee! Danke für den Tipp. Aber von der Schwierigkeit her hat dieses Rätsel wenig mit dem Monster 000012 zu tun. Du kannst dich also beruhigt heranwagen! ;-)
on 17. April 2021, 21:07 by BMEP
Wow! That's such a good puzzle! extremely fun! Thank you for that!
A: Thank you very much for the kind words. Interestingly, I in turn was absolutely amazed by your recent 'Dark Ages Carnival'!
B: Oh thank you so much! I feel flattered! :))
on 17. April 2021, 18:06 by Arlo Lipof
Colours made more visible.
on 17. April 2021, 17:42 by SKORP17
Bitte die Zuordnung Farben zu den jew. Nummern etwas deutlicher darstellen, man die Farben kaum erkennen
A: Grau = 1, Rot = 2, Gelb = 3, Hellgrün = 4, Grün = 5, Hellblau = 6, Blau = 7, Pink = 8, Hellrosa = 9
