Logic Masters Deutschland e.V.

Inner Square Diagonals

(Published on 12. August 2024, 13:31 by Phistomefel)

This Sudoku is the next in my little square series and the most difficult. The break-in into the puzzle has a quite mathematical feel to it and is probably the most complicated out of all my puzzle. Just in case I provided two hints which you can find after the puzzle graphic. To avoid confusion: after drawing the right conclusions out of the hints, the break-in is still not over. I will gladly answer questions about the entry or the puzzle in general in hidden comments. But first you find the rules here:
  1. Normal Arrow Sudoku rules apply.
  2. An inner square is a 2x2 square that crosses no box border. For all inner squares, the two diagonals sum to the same number. The diagonals of different inner squares may sum to different numbers.
The puzzle is also available online via the CTC-App. Have fun solving!


Here you find two hints by highlighting the following lines:
1. Two partially overlapping 2x2 squares have a special relation. If you solved the puzzle "Border Square Diagonals": there you need the same trick for the solution.
2. Within a 3x3 box, observe the sum of different triples of cells which share no row and no column, e.g. R1C2 + R2C1 + R3C3.

Solution code: Row 8

Solved by nuzzopa, Niverio, wensty, Fool on Hill, Megalobrainiac, zlotnleo, harrison, SKORP17, loat, MadHypnofrog, Mimaamakim, ashisstuff, Xalothros, antiknight, applesauce, SXH, deltameth, Bjd, koba1917, ... jkuo7, miranda_9, jinkela114514, tinounou, BloodbuzzCorio, salamis99, EliasK, redaid113, baku, Hazem-77, drbs, meixia, mse326, jmw, Samish, Shweebag, Aaronomys, h5663454, jseng, widjo, BlueShifted
Full list

Comments

on 3. October 2024, 06:57 by BlueShifted
What a beautiful idea, I believe you outdid yourself (and everyone else xD) this time. I deduced many relations using a pen and a paper first, then the solve was surprisingly very smooth after.

on 29. August 2024, 21:49 by baku
What a journey! I don't even know how I did it :")

on 18. August 2024, 22:46 by feverlute
Beautiful. After solving puzzles for a while on Logic Masters, this is the one that impelled me to join so I could "get credit" for it.

on 17. August 2024, 13:27 by psninn
What a beautiful logic!!! Thank you so much. I found the secret of the arithmetic sequence in this puzzle. So I used your rules to create another problem. The ID is 000JEJ.

Last changed on 16. August 2024, 19:39

on 16. August 2024, 15:50 by Fisherman
The great paradox is that hidden comments are not visible to the needy.
----
That is intentional. The creators of this site wanted to give the people who already solved the puzzle an option to communicate about the solving path without spoiling the puzzle for others. And if somebody needs a hint they can always ask a question in a hidden comment so the author can answer it without revealing any secrets to those who still want to solve the puzzle.

on 15. August 2024, 10:53 by Isael
Awesome! I confess I had to use the hints

on 13. August 2024, 19:55 by Kallor
Crazy puzzle. An hour and a half of thought for me, then everything resolved in ten minutes after the break-in. Very rewarding!

on 13. August 2024, 04:02 by smckinley
Amazing break-in!

Difficulty:5
Rating:97 %
Solved:73 times
Observed:5 times
ID:000JBK
Puzzle variant Online solving tool Arithmetic puzzle
Sudoku

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Solution code:

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