6 Magic Squares
(Published on 8. September 2020, 16:00 by Frans Wentholt)
Believe it or not, this Sudoku contains six Magic Squares. Five of them are the well-known 3 by 3, non-overlapping ones, each occupying nine adjacent cells, and the sixth... Well, he was an inquisitive 3x3 Magic Square on another Sudoku that slipped and fell over the edge. Fortunately his fall was broken by this Sudoku, but his fall tore him a little bit apart (the lucky part: he know knows for sure a Sudoku is as flat as the earth). Now each of the former neighbours in this Magic Square have exactly two other cells between them, horizontally, vertically and diagonally.
An example of such a torn apart Magic Square:
And believe it or not, there’s also an Anti-Knight constraint in this Sudoku (no two squares which are a knight's move (in chess) apart, may contain the same digit).
Of course, normal Sudoku rules apply. There is no 5 in any of the 9 by 9 grid corners.
An example of such a torn apart Magic Square:
And believe it or not, there’s also an Anti-Knight constraint in this Sudoku (no two squares which are a knight's move (in chess) apart, may contain the same digit).
Of course, normal Sudoku rules apply. There is no 5 in any of the 9 by 9 grid corners.
Solution code: Row 9 Column 8
Last changed on on 19. November 2020, 03:04
Solved by MajinXenu, rimodech, ThrowngNinja, Snowhare, NikolaZ, skywalker, Ragna, bob, rlg, zorant, SKORP17, MB_Cyclist, puffy2005, mlkj
Comments
on 19. November 2020, 03:04 by Frans Wentholt
After writing a Solution Path for a possible publication on CtC, I changed the difficulty level to "very hard".
on 16. November 2020, 20:52 by Frans Wentholt
Corrected a logical inconsistency in the introduction.
Last changed on 9. September 2020, 01:48
on 8. September 2020, 22:21 by Frans Wentholt
I added a constraint: "There is no 5 in any of the 9 by 9 grid corners."
This constraint isn't strictly necessary, but it makes the first logical steps more elegant and fun.
+++
Ich habe eine Einschränkung hinzugefügt: "In keiner der 9 x 9-Rasterecken befindet sich eine 5."
Diese Einschränkung ist nicht unbedingt erforderlich, macht jedoch die ersten logischen Schritte eleganter und unterhaltsamer.
