Symmetric Miracle
(Eingestellt am 8. Juni 2025, 01:14 Uhr von Srinidhi Kabra)
Hey everyone, this is my third puzzle. I have fixed the issues that were there when I published this puzzle last time. This is a followup to my previous puzzle with more intricate ruleset, building upon the symmetry idea from the previous puzzle I have been experimenting with the new ruleset, namely, the symmetries of the grid. I hope you enjoy this puzzle.
Rules
Normal 6x6 sudoku rules apply. When rotated by 180 degrees, the digits in the grid are unchanged. When rotated by 90 degrees, prime numbers are mapped to non prime numbers. When flipped across any of the main diagonal, the digits are mapped to digits which are either in 1:1 or 1:2 ratio. When the grid is mirrored over the vertical axis, odd digits are mapped to even digits and vice versa. Digits separated by a white dot are consecutive.
Link : Sudokupad
I am eager to know your feedback.
Lösungscode: Row 3 followed by column 4
Kommentare
am 12. Juni 2025, 19:04 Uhr von thezoom863
I'd love to see how many different solve paths are available, reading the comment below about the 90° constraint feeling unneeded, as that is the constraint that did the bulk of the heavy lifting in my solve. I had a wonderful time pushing that constraint to its limits, and a delightful conclusion of having the entire grid filled within 30 seconds of getting my first digit. Great puzzle!!
am 10. Juni 2025, 06:48 Uhr von blueberrypug
very enjoyable. I never found that I needed the 90 degrees constraint however, but the fact that it's present at the end makes it all the more interesting nonetheless.
am 9. Juni 2025, 09:46 Uhr von Twan2797
Could you please clarify.
- I don't understand the 90° turn, which cells go where?
- I don't understand the flip on the main diagonals, isn't that the same as 180°?
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Srinidhi : Hi, so that's part of the puzzle, to figure out which cells go where. In this puzzle I am exploiting the symmetries of a square to capture the rules of sudoku. I would suggest following one cell and thininking about which cell it would be mapped to, and repeat this process for other cells. See if you can find the pattern.
