Logic Masters Deutschland e.V.

Phistomefel Tribute

(Eingestellt am 13. November 2020, 08:40 Uhr von cam)

Here is a very small and potentially very easy puzzle. The intention is for you to use the 8x8 version of Phistomefel's theorem. Which, as far as I know, is a novel concept. If you can do that, this puzzle is much simpler (as far as I can tell). However, it is almost certainly possible to solve this puzzle without the theorem!

Here is an explanation image. There are two version of Phistomefel's theorem that show up in this puzzle with non-square regions. In both sides of this image, the red and blue highlighted squares contain the same digits (red=blue). The proof for this follows from the original discovery. If you don't know what I'm talking about, see here.

Ordinary Sudoku Rules Apply

Ordinary Killer Rules Apply

Here is the puzzle. Enjoy! :) You can play it here. Please let me know if you figured this out with or without using this technique! For added cred, do it both ways ;)

Lösungscode: Row 4 followed by column 1

Zuletzt geändert am 14. November 2020, 03:49 Uhr

Gelöst von Player, cdwg2000, Greg, panthchesh, r45, Joseph nehme, Phurba, TimE, manconaut, polar, SudokuExplorer, NikolaZ, DiMono, CaneloC, rimodech, Willy Wonka, jkl, Storm, skywalker, zorant, tinounou, Gotroch, Cane_Puzzles, Ood, apwelho, pbandfluff, Crul
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Kommentare

Zuletzt geändert am 14. November 2020, 21:28 Uhr

am 14. November 2020, 20:51 Uhr von SudokuExplorer
Fun solve, thanks! :-)

@SudokuExplorer Thank you!

Zuletzt geändert am 14. November 2020, 20:23 Uhr

am 14. November 2020, 05:11 Uhr von panthchesh
Thanks for the puzzle. It was fun!

@panthchesh As always, thanks for playing the puzzle! I'm glad you enjoyed it :)

Zuletzt geändert am 14. November 2020, 03:50 Uhr

am 14. November 2020, 03:49 Uhr von cam
Note that this type of theorem indeed holds for 4x4 and 6x6 puzzles as well. It can probably be generalized nicely.

Zuletzt geändert am 14. November 2020, 00:48 Uhr

am 13. November 2020, 23:40 Uhr von cdwg2000
Very good build! It can be done without using complementary techniques, but it takes a little longer to do it again and it is not very comfortable to complete. Using complementary skills and combining the limit values ​​can quickly determine the combination of the four corners. I like this entry very much, and the process of solving the problem is pleasant. Thank you for sharing!

@cdwg2000 Wow thanks so much! It means a lot coming from a great setter such as yourself :)

am 13. November 2020, 22:32 Uhr von cam
Added an example image

Schwierigkeit:3
Bewertung:96 %
Gelöst:27 mal
Beobachtet:7 mal
ID:0004PN

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